diff --git a/manual/develop/en/html/_images/tutorial_03_finitetemperature.png b/manual/develop/en/html/_images/tutorial_03_finitetemperature.png new file mode 100644 index 00000000..f5a94fe4 Binary files /dev/null and b/manual/develop/en/html/_images/tutorial_03_finitetemperature.png differ diff --git a/manual/develop/en/html/_images/tutorial_08_finitetemperature.png b/manual/develop/en/html/_images/tutorial_08_finitetemperature.png deleted file mode 100644 index fbfc32bc..00000000 Binary files a/manual/develop/en/html/_images/tutorial_08_finitetemperature.png and /dev/null differ diff --git a/manual/develop/en/html/_sources/tutorial/03_finite_temperature.rst.txt b/manual/develop/en/html/_sources/tutorial/03_finite_temperature.rst.txt index d7467921..50a90005 100644 --- a/manual/develop/en/html/_sources/tutorial/03_finite_temperature.rst.txt +++ b/manual/develop/en/html/_sources/tutorial/03_finite_temperature.rst.txt @@ -80,10 +80,11 @@ Running the following: gnuplot -persist plot_mx.plt gnuplot -persist plot_mz.plt -will display plots for energy, heat capacity, and magnetizations (:math:`m_x` and :math:`m_z`). The resulting plots are illustrated in :numref:`fig_tutorial8_finitetemperature`. For comparison, results obtained using Quantum Monte Carlo calculations are also shown (using ``ALPS/looper``). +will display plots for energy, heat capacity, and magnetizations (:math:`m_x` and :math:`m_z`). The resulting plots are illustrated in :numref:`fig_tutorial3_finitetemperature`. For comparison, results obtained using Quantum Monte Carlo calculations are also shown (using ``DSQSS/dla``). -.. figure:: ../../img/tutorial_08_finitetemperature.* - :name: fig_tutorial8_finitetemperature +.. figure:: ../../img/tutorial_03_finitetemperature.* + :name: fig_tutorial3_finitetemperature :width: 600px - Graphs for the finite temperature calculations of the Ising model: (a) energy, (b) heat capacity, (c) :math:`m_x`, and (d) :math:`m_z`. The vertical axis represents the physical quantity, and the horizontal axis denotes temperature. + Graphs for the finite temperature calculations of the Ising model: (a) energy, (b) heat capacity, (c) transverse magnetization, and (d) longitudinal magnetization. The vertical axis represents the physical quantity, and the horizontal axis denotes temperature. + Curves are results by TeNeS and squares are results by DSQSS/dla (longitudinal magnetization is zero from symmetry). diff --git a/manual/develop/en/html/_static/tutorial_03_finitetemperature.pdf b/manual/develop/en/html/_static/tutorial_03_finitetemperature.pdf new file mode 100644 index 00000000..633063ca Binary files /dev/null and b/manual/develop/en/html/_static/tutorial_03_finitetemperature.pdf differ diff --git a/manual/develop/en/html/_static/tutorial_03_finitetemperature.png b/manual/develop/en/html/_static/tutorial_03_finitetemperature.png new file mode 100644 index 00000000..f5a94fe4 Binary files /dev/null and b/manual/develop/en/html/_static/tutorial_03_finitetemperature.png differ diff --git a/manual/develop/en/html/objects.inv b/manual/develop/en/html/objects.inv index e55a0618..506d73a1 100644 Binary files a/manual/develop/en/html/objects.inv and b/manual/develop/en/html/objects.inv differ diff --git a/manual/develop/en/html/searchindex.js b/manual/develop/en/html/searchindex.js index fa1904c8..ea664f62 100644 --- a/manual/develop/en/html/searchindex.js +++ b/manual/develop/en/html/searchindex.js @@ -1 +1 @@ -Search.setIndex({"docnames": ["about/index", "about/info", "acknowledge/index", "algorithm/algorithms", "algorithm/index", "contact/index", "faq", "file_specification/correlation_length_section", "file_specification/correlation_section", "file_specification/expert_format", "file_specification/index", "file_specification/input_summary", "file_specification/observable_section", "file_specification/output_format", "file_specification/parameter_section", "file_specification/simple_format", "file_specification/standard_format", "file_specification/tensor_section", "how_to_use/expert_usage", "how_to_use/index", "how_to_use/simple_usage", "how_to_use/standard_usage", "index", "install", "tutorial/01_transverse_field_ising", "tutorial/02_time_evolution", "tutorial/03_finite_temperature", "tutorial/04_magnetization", "tutorial/05_hardcore_boson_triangular", "tutorial/06_std_model", "tutorial/index"], "filenames": ["about/index.rst", "about/info.rst", "acknowledge/index.rst", "algorithm/algorithms.rst", "algorithm/index.rst", "contact/index.rst", "faq.rst", "file_specification/correlation_length_section.rst", "file_specification/correlation_section.rst", "file_specification/expert_format.rst", "file_specification/index.rst", "file_specification/input_summary.rst", "file_specification/observable_section.rst", "file_specification/output_format.rst", "file_specification/parameter_section.rst", "file_specification/simple_format.rst", "file_specification/standard_format.rst", "file_specification/tensor_section.rst", "how_to_use/expert_usage.rst", "how_to_use/index.rst", "how_to_use/simple_usage.rst", "how_to_use/standard_usage.rst", "index.rst", "install.rst", "tutorial/01_transverse_field_ising.rst", "tutorial/02_time_evolution.rst", "tutorial/03_finite_temperature.rst", "tutorial/04_magnetization.rst", "tutorial/05_hardcore_boson_triangular.rst", "tutorial/06_std_model.rst", "tutorial/index.rst"], "titles": ["1. What is TeNeS ?", "1.1. Overview", "8. Acknowledgement", "6. Algorithm", "<no title>", "9. Contacts", "7. FAQ", "<no title>", "Example", "5.4. Input file for tenes", "5. File format", "5.1. Short summary for input files of TeNeS", "observable.onesite", "5.5. Output files", "parameter.general", "5.2. Input file for tenes_simple", "5.3. Input file for tenes_std", "tensor.unitcell subsection", "3.3. Usage of tenes", "3. Usage", "3.1. Usage of tenes_simple", "3.2. Usage of tenes_std", "Welcome to TeNeS\u2019s documentation!", "2. Install", "4.1. Ising model with transverse magnetic field", "4.2. Real-Time Evolution of the Transverse Field Ising Model", "4.3. Finite Temperature Calculations for the Transverse Field Ising Model", "4.4. Magnetization process of the Heisenberg model on triangular and square lattices", "4.5. Phase diagram of the hardcore boson model on a trianglar lattice", "4.6. Definition of lattices, models, and operators using the standard mode", "4. Tutorial"], "terms": {"overview": [0, 22], "develop": [0, 2, 22], "version": [0, 3, 5, 15, 18, 20, 21, 22, 23, 29], "inform": [0, 9, 13, 16, 17, 21, 22, 24, 27], "licens": [0, 22], "paper": [0, 22], "copyright": [0, 22], "tene": [1, 2, 3, 5, 8, 10, 14, 15, 16, 17, 19, 21, 23, 24, 25, 26, 27, 28, 29], "te": 1, "nsor": 1, "ne": 1, "twork": 1, "": [1, 3, 7, 8, 9, 12, 14, 15, 16, 17, 20, 21, 23, 24, 25, 26, 27, 28, 29], "olver": 1, "i": [1, 3, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29], "an": [1, 3, 5, 7, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 24, 26, 29], "open": [1, 24, 27], "sourc": [1, 9, 12, 13, 16, 23, 29], "program": [1, 18, 19], "packag": [1, 23], "calcul": [1, 3, 6, 7, 8, 9, 10, 12, 14, 15, 16, 19, 21, 22, 24, 25, 27, 28, 29, 30], "two": [1, 3, 9, 12, 13, 15, 16, 17, 24, 28, 29], "dimension": [1, 3], "mani": [1, 3, 7, 9, 15, 16, 18], "bodi": [1, 3, 9, 12, 15, 16], "quantum": [1, 3, 6, 25, 26, 27], "state": [1, 2, 4, 6, 9, 10, 12, 14, 15, 16, 17, 20, 21, 22, 24, 25, 26, 27, 28, 29], "base": [1, 23], "tensor": [1, 4, 8, 10, 11, 14, 15, 20, 21, 22, 23, 24, 25, 29], "network": [1, 4, 22, 25], "method": [1, 3, 6, 7, 9, 14, 15, 16], "thi": [1, 3, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 21, 23, 24, 25, 26, 27, 28, 29], "ground": [1, 3, 6, 9, 10, 14, 15, 16, 24, 25, 26, 27, 28], "wavefunct": [1, 3], "user": [1, 18, 21, 28, 29], "defin": [1, 3, 8, 9, 12, 13, 14, 15, 16, 19, 20, 24, 25, 26, 27, 28, 29], "hamiltonian": [1, 3, 9, 10, 11, 12, 13, 14, 15, 17, 20, 21, 24, 25, 26, 27, 28, 30], "evalu": [1, 29], "physic": [1, 2, 3, 6, 9, 12, 14, 15, 16, 17, 21, 25, 26, 29], "quantiti": [1, 3, 6, 9, 12, 14, 15, 16, 25, 26], "magnet": [1, 3, 15, 22, 25, 26, 29, 30], "correl": [1, 3, 7, 8, 10, 11, 24, 28, 29], "function": [1, 2, 8, 9, 13, 15, 16, 23, 25, 27, 28], "can": [1, 3, 6, 9, 12, 14, 15, 16, 17, 21, 23, 24, 25, 26, 27, 28, 29], "finit": [1, 4, 9, 10, 14, 15, 16, 22, 28, 30], "temperatur": [1, 4, 9, 10, 14, 15, 16, 22, 28, 30], "real": [1, 4, 9, 12, 13, 14, 15, 16, 17, 20, 21, 22, 24, 26, 29, 30], "time": [1, 4, 6, 9, 10, 12, 14, 15, 16, 17, 20, 21, 22, 23, 24, 26, 27, 28, 30], "evolut": [1, 4, 10, 11, 14, 15, 16, 17, 21, 22, 30], "well": [1, 3], "For": [1, 3, 8, 9, 10, 11, 12, 14, 15, 16, 17, 19, 23, 24, 25, 26, 27, 28, 29], "predefin": [1, 19, 20, 21], "model": [1, 3, 9, 10, 11, 12, 16, 19, 20, 21, 22, 30], "lattic": [1, 3, 6, 8, 9, 10, 11, 12, 13, 16, 17, 19, 20, 21, 22, 24, 25, 26, 30], "tool": [1, 11, 19, 20, 21, 23, 25, 26], "make": [1, 3, 5, 19, 21, 23, 27], "easi": 1, "gener": [1, 2, 3, 7, 11, 13, 19, 20, 21, 23, 24, 25, 26, 27, 29], "input": [1, 3, 5, 10, 13, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29], "file": [1, 3, 5, 14, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29], "us": [1, 3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 19, 20, 22, 24, 25, 26, 27, 28, 30], "openmp": 1, "mpi": [1, 9, 14, 15, 16], "hybrid": 1, "parallel": [1, 24], "oper": [1, 3, 8, 9, 12, 13, 14, 15, 16, 19, 21, 22, 23, 24, 25, 26, 28, 30], "librari": [1, 23], "thu": [1, 3, 26], "deal": [1, 11], "larg": [1, 3, 27], "scale": [1, 3], "massiv": 1, "machin": [1, 23], "follow": [1, 3, 5, 8, 9, 11, 12, 13, 14, 15, 16, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29], "member": 1, "tsuyoshi": 1, "okubo": 1, "graduat": 1, "school": 1, "scienc": [1, 2], "univ": 1, "tokyo": [1, 2, 5], "satoshi": 1, "morita": [1, 9, 14, 15, 16], "faculti": 1, "technologi": 1, "keio": 1, "univers": [1, 2], "yuichi": 1, "motoyama": 1, "institut": [1, 2], "solid": [1, 2, 28], "kazuyoshi": 1, "yoshimi": 1, "takeo": 1, "kato": 1, "naoki": 1, "kawashima": [1, 9, 14, 15, 16], "ver": 1, "2": [1, 3, 8, 9, 12, 13, 14, 15, 16, 17, 20, 21, 24, 25, 26, 27, 28, 29], "1": [1, 3, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21, 24, 25, 26, 27, 28, 29], "0": [1, 3, 8, 9, 12, 13, 14, 15, 16, 17, 20, 21, 23, 24, 25, 26, 27, 28, 29], "releas": 1, "2024": 1, "02": [1, 13], "28": [1, 13], "2023": [1, 13], "11": [1, 9, 13, 14, 15, 16, 23], "17": [1, 13], "beta": [1, 3, 9, 13, 14, 15, 16], "10": [1, 3, 7, 9, 13, 14, 15, 16, 24, 25, 26, 27, 29], "25": [1, 9, 12, 13, 16, 21, 25, 27, 29], "3": [1, 3, 9, 12, 13, 15, 16, 17, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29], "4": [1, 3, 7, 9, 12, 13, 14, 15, 16, 24, 25, 26, 27, 28, 29], "09": [1, 13], "13": [1, 24], "07": [1, 13], "14": [1, 13], "06": [1, 13, 25], "08": 1, "2022": 1, "21": [1, 13, 25, 27], "20": [1, 7, 9, 13, 15, 16, 24], "2021": 1, "12": [1, 3, 9, 13, 14, 15, 16], "2020": 1, "04": [1, 13, 29], "03": [1, 13], "30": [1, 15, 24], "2019": [1, 3], "distribut": 1, "under": [1, 3], "gnu": [1, 23], "public": [1, 5], "gpl": 1, "v3": 1, "later": [1, 3], "when": [1, 3, 5, 6, 9, 12, 13, 14, 15, 16, 17, 21, 24, 25, 27, 29], "you": [1, 5, 6, 8, 9, 15, 16, 17, 19, 23, 26, 27], "publish": 1, "result": [1, 3, 6, 9, 12, 14, 15, 16, 24, 25, 26, 27, 28, 29], "we": [1, 2, 3, 9, 12, 16, 25, 26, 27, 28, 29], "would": [1, 2, 3], "appreci": 1, "cite": 1, "y": [1, 8, 9, 13, 15, 16, 17, 20, 21, 24, 27, 28, 29], "solver": 1, "system": [1, 3, 8, 9, 16, 17, 20, 23, 28], "comput": [1, 2, 3, 6, 9, 14, 15, 16, 25, 26, 28, 29], "phy": [1, 3, 9, 14, 15, 16, 25, 28], "commun": 1, "279": 1, "108437": 1, "The": [1, 2, 3, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 23, 24, 25, 26, 27, 28, 29], "all": [1, 5, 9, 10, 12, 14, 15, 16, 17, 26, 28, 29], "right": [1, 3, 8, 9, 12, 13, 15, 16, 17, 21, 27, 29], "reserv": 1, "softwar": [1, 2], "wa": [1, 2, 24], "support": [1, 2, 3], "project": [1, 2, 3], "advanc": [1, 2, 27], "usabl": [1, 2], "materi": [1, 2], "mext": 2, "exploratori": 2, "challeng": 2, "post": 2, "k": [2, 3, 9, 16, 17, 29], "frontier": 2, "basic": [2, 25, 26, 27, 28], "limit": [2, 3, 9, 14, 15, 16, 21, 24], "prioriti": 2, "issu": [2, 3, 5, 6, 25], "creation": [2, 15], "new": [2, 3], "devic": 2, "high": [2, 27], "perform": [2, 6, 11, 26, 27, 28], "next": [2, 3, 9, 11, 12, 15, 16, 24, 25, 27], "industri": 2, "also": [2, 3, 6, 15, 23, 25, 26, 27, 28, 29], "like": [2, 3, 9, 15, 20, 25, 26, 27, 28], "express": [2, 3, 9, 12, 16, 25], "our": [2, 25], "thank": [2, 5], "tn": [3, 8, 9, 16], "ar": [3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 23, 24, 25, 26, 27, 28, 29], "variat": 3, "repres": [3, 9, 12, 15, 16, 17, 25, 26, 27, 29], "product": [3, 9, 12, 16, 17, 29], "small": [3, 6, 13, 27, 28], "exampl": [3, 11, 13, 17, 23, 24, 25, 26, 27, 30], "case": [3, 6, 7, 9, 12, 15, 16, 17, 18, 21, 23, 24, 25, 29], "spin": [3, 6, 9, 12, 16, 20, 24, 25, 26, 27, 29], "n": [3, 9, 12, 13, 14, 15, 16, 17, 27, 28], "site": [3, 8, 9, 12, 13, 15, 16, 17, 20, 21, 24, 27, 28], "basi": [3, 9, 12, 16], "psi": [3, 9, 13, 16, 17, 29], "rangl": [3, 8, 9, 12, 13, 15, 16, 17, 24, 25, 26, 27, 28], "sum_": [3, 9, 15, 16, 17, 24, 25, 26, 27, 28, 29], "s_i": [3, 9, 12, 16, 24, 25, 26, 27, 29], "pm": 3, "uparrow": [3, 9, 12, 16, 17, 27], "downarrow": [3, 9, 12, 16, 17, 27], "psi_": 3, "s_1": 3, "s_2": 3, "dot": [3, 8, 9, 16], "s_n": 3, "In": [3, 7, 8, 9, 12, 13, 15, 16, 18, 19, 20, 21, 23, 24, 25, 26, 27, 29], "e": [3, 5, 9, 14, 15, 16, 24, 27, 28, 29], "g": [3, 5, 24, 27], "mathrm": [3, 13], "ttr": 3, "left": [3, 8, 9, 12, 13, 15, 16, 17, 21, 27], "t": [3, 9, 13, 14, 15, 16, 25, 28], "cdot": [3, 15, 28, 29], "where": [3, 7, 9, 12, 13, 15, 16, 17, 27, 28, 29], "matrix": [3, 7, 9, 12, 13, 14, 15, 16, 24, 29], "mp": 3, "becom": [3, 6, 9, 14, 15, 16, 25], "given": [3, 9, 12, 16, 17, 21, 25, 28], "usual": 3, "assum": [3, 27], "shape": [3, 6, 9, 16, 17], "neq": 3, "d_1": 3, "d_": 3, "respect": [3, 9, 11, 12, 15, 16, 20, 27], "order": [3, 9, 15, 16, 17, 19, 25, 27, 28], "approxim": [3, 7, 9, 15, 16], "accuraci": [3, 6, 27], "determin": [3, 6, 15, 28], "d_i": 3, "call": [3, 24, 27], "bond": [3, 6, 9, 12, 13, 14, 15, 16, 17, 20, 21, 24, 27, 28], "dimens": [3, 6, 7, 9, 12, 13, 14, 15, 16, 17, 20, 21, 24, 25, 26, 27, 28, 29], "By": [3, 9, 12, 15, 16, 17, 21, 23, 24, 28, 29], "diagram": [3, 22, 30], "size": [3, 6, 7, 9, 12, 15, 16, 17, 20, 21, 24, 25, 26, 27], "similarli": [3, 9, 12, 16], "consid": [3, 6, 9, 14, 15, 16, 28, 29], "infinit": 3, "long": [3, 28], "especi": [3, 29], "translat": 3, "symmetri": 3, "certain": [3, 25], "period": [3, 27], "construct": 3, "imp": 3, "few": [3, 24, 27], "independ": [3, 9, 16, 17, 29], "look": [3, 27], "same": [3, 6, 9, 12, 13, 15, 16, 17, 20, 21, 25, 26, 27, 28], "color": 3, "indic": [3, 8, 9, 12, 16, 17, 25, 26, 28, 29], "ident": 3, "itn": [3, 24], "which": [3, 9, 12, 13, 16, 17, 19, 23, 25, 28, 29], "natur": 3, "extens": 3, "higher": 3, "squar": [3, 6, 8, 9, 12, 16, 20, 21, 22, 24, 25, 26, 28, 29, 30], "whose": [3, 29], "shown": [3, 9, 12, 15, 16, 19, 20, 21, 26, 27, 28], "try": [3, 24], "find": [3, 27, 28], "notic": 3, "other": [3, 5, 6, 9, 12, 13, 15, 16, 17, 19, 21, 23, 28, 29], "than": [3, 6, 7, 9, 14, 15, 16, 19, 21], "honeycomb": [3, 20], "triangular": [3, 20, 22, 28, 30], "proper": 3, "map": 3, "expect": [3, 9, 13, 14, 15, 16, 24, 25, 29], "valu": [3, 6, 9, 13, 14, 15, 16, 17, 21, 23, 24, 25, 29], "over": [3, 6, 15, 25, 29], "langl": [3, 8, 9, 12, 13, 15, 16, 24, 25, 26, 27, 28], "o": [3, 5, 24, 27], "need": [3, 9, 12, 16, 19], "correspond": [3, 9, 15, 29], "often": 3, "doubl": [3, 15], "layer": 3, "huge": 3, "cost": [3, 6, 28], "fortun": 3, "effici": [3, 6], "transfer": [3, 7, 9, 13, 14, 15, 16, 24], "consist": [3, 9, 12, 13, 15, 16, 17, 28], "local": [3, 15, 16, 23, 29], "howev": [3, 6], "tp": [3, 15], "exact": [3, 6], "imposs": 3, "except": [3, 24, 27], "cylind": 3, "among": 3, "sever": [3, 6, 25, 28], "corner": [3, 9, 14, 15, 16, 24], "renorm": 3, "group": [3, 9, 12, 14, 15, 16, 21, 29], "ctmrg": [3, 24], "extend": [3, 15], "matric": [3, 7, 9, 14, 15, 16], "edg": 3, "simplifi": 3, "represent": 3, "A": [3, 8, 9, 12, 13, 15, 16, 17, 19, 25, 29], "chi": [3, 9, 14, 15, 16], "thick": 3, "line": [3, 9, 12, 15, 16, 17, 18, 20, 21, 24, 27, 28, 29], "iter": [3, 7, 9, 14, 15, 16, 24], "optimis": 3, "absorb": [3, 20], "until": 3, "thei": [3, 9, 12, 15, 16], "converg": [3, 7, 9, 14, 15, 16, 27], "procedur": [3, 9, 14, 15, 16], "so": [3, 6, 9, 23, 28], "move": [3, 9, 15, 16, 17], "describ": [3, 7, 9, 15, 16, 19, 25, 28], "projector": [3, 9, 14, 15, 16], "abov": [3, 9, 12, 16, 25], "wai": [3, 6, 9, 12, 16, 23, 26, 27, 29], "reduc": [3, 23, 27], "degre": [3, 15], "freedom": 3, "d": [3, 9, 15, 16, 17, 26, 29], "ctm": [3, 6, 13, 20, 21, 24, 25, 26, 27, 29], "lead": 3, "6": [3, 9, 13, 14, 15, 16, 23, 25, 26, 27, 29], "typic": [3, 6, 13], "increas": [3, 6, 9, 14, 15, 16, 24, 25, 27, 28], "propto": [3, 29], "setup": 3, "while": [3, 24, 25], "memori": 3, "usag": [3, 22], "8": [3, 13, 25, 26], "achiev": [3, 25], "discuss": 3, "partial": 3, "singular": [3, 9, 14, 15, 16], "decomposit": 3, "svd": [3, 9, 14, 15, 16], "truncat": [3, 9, 14, 15, 16], "techniqu": 3, "full": [3, 6, 9, 13, 14, 15, 16, 24], "instead": [3, 9, 13, 14, 15, 16], "onc": [3, 9, 15, 16, 17, 25, 26], "obtain": [3, 5, 6, 9, 14, 15, 16, 24, 26, 27, 28, 29], "z_i": [3, 9, 12, 15, 16, 29], "nearest": [3, 9, 15, 20, 24, 27, 28, 29], "neighbor": [3, 8, 9, 15, 16, 20, 27, 28, 29], "z_": 3, "second": [3, 9, 13, 15, 16, 17, 20, 21, 24, 25, 26], "ani": [3, 5, 18], "although": [3, 6, 29], "larger": [3, 27, 28], "cluster": 3, "give": [3, 9, 16, 17], "u": [3, 5, 9, 14, 15, 16, 28, 29], "minimum": [3, 6], "energi": [3, 6, 9, 12, 13, 16, 24, 25, 26, 27, 28, 29], "frac": [3, 9, 12, 15, 16, 27], "mathcal": [3, 9, 12, 15, 16, 21, 29], "h": [3, 6, 9, 12, 14, 15, 16, 21, 24, 25, 26, 27, 28, 29], "target": [3, 9, 12, 13, 16, 29], "type": [3, 7, 8, 9, 12, 14, 15, 16, 17, 20, 21, 23, 24, 25, 26, 27, 28, 29], "popular": 3, "imaginari": [3, 9, 12, 13, 14, 15, 16, 20, 21, 24, 27, 29], "ITE": 3, "within": [3, 9, 12, 16, 27, 28], "ansatz": 3, "simeq": 3, "psi_0": 3, "arbitrari": 3, "initi": [3, 6, 7, 9, 14, 15, 16, 17, 20, 21, 24, 25, 26, 27, 29], "If": [3, 5, 7, 8, 9, 12, 13, 14, 15, 16, 17, 20, 23, 25], "suffici": [3, 27], "hand": [3, 28], "side": 3, "good": [3, 6, 27], "sum": [3, 16, 29], "short": [3, 10, 15, 22], "rang": [3, 9, 12, 15, 16, 24, 28], "interact": [3, 9, 12, 15, 16, 20, 28], "j": [3, 9, 15, 16, 17, 20, 23, 24, 25, 26, 27, 28, 29], "h_": 3, "ij": [3, 9, 12, 15, 16, 21, 28, 29], "appli": [3, 25, 27], "suzuki": 3, "trotter": 3, "step": [3, 9, 14, 15, 16, 20, 21, 24, 25, 26, 27], "tau": [3, 9, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "prod_": 3, "form": [3, 15, 27], "n_": [3, 15, 28], "number": [3, 6, 7, 9, 12, 13, 14, 15, 16, 17, 18, 20, 21, 24, 27, 28, 29], "ITEs": 3, "equat": 3, "divid": 3, "subset": 3, "each": [3, 8, 9, 11, 12, 13, 14, 15, 16, 17, 19, 24, 25, 26, 27, 28, 29], "satisfi": 3, "properti": 3, "commut": 3, "have": [3, 5, 6, 9, 15, 16, 17, 18, 23, 26], "one": [3, 5, 8, 9, 12, 14, 15, 16, 17, 21, 24, 25, 28, 29], "Then": [3, 24, 27, 28], "after": [3, 9, 12, 14, 15, 16, 24, 27, 28, 29], "multipl": [3, 6, 9, 12, 16, 17, 21], "_n": 3, "mean": [3, 9, 12, 13, 14, 15, 16, 17, 25, 26, 29], "th": [3, 13], "continu": [3, 24, 26], "stabli": 3, "constant": [3, 15], "naiv": 3, "done": [3, 6, 23, 24, 25], "solv": 3, "minim": 3, "problem": [3, 5], "min": 3, "vert": 3, "practic": [3, 25], "becaus": [3, 9, 12, 14, 15, 16, 28, 29], "highli": 3, "nonlinear": 3, "due": 3, "altern": 3, "onli": [3, 9, 13, 14, 15, 16, 17, 26, 27, 28, 29], "modifi": [3, 24], "from": [3, 6, 7, 9, 12, 13, 14, 15, 16, 17, 19, 21, 23, 24, 26, 27, 28, 29], "origin": [3, 7, 9, 13, 15, 16], "written": [3, 11, 13, 29], "chain": 3, "norm": [3, 13], "easili": [3, 6, 23], "break": 3, "translation": 3, "symmetr": 3, "copi": [3, 11, 15, 29], "updat": [3, 6, 9, 13, 14, 15, 16, 24, 27], "part": [3, 9, 12, 13, 16, 21, 28, 29], "solut": 3, "approach": [3, 6, 9, 14, 15, 16], "come": 3, "depend": [3, 13, 15, 23, 24, 26, 27, 28], "simpl": [3, 6, 9, 13, 14, 15, 16, 20, 24, 25, 26, 27], "cheaper": 3, "avoid": 3, "expens": [3, 6, 28], "environ": [3, 9, 14, 15, 16, 23, 24], "treat": [3, 29], "whole": [3, 16], "simpleupd": 3, "lambda_i": [3, 13], "non": [3, 9, 12, 16, 29], "neg": 3, "diagon": [3, 6, 7, 9, 12, 15, 16], "field": [3, 9, 14, 15, 16, 22, 27, 30], "neglect": 3, "beyond": [3, 25, 29], "definit": [3, 8, 9, 15, 16, 22, 30], "view": 3, "low": [3, 6, 28], "rank": [3, 9, 14, 15, 16], "lambda": 3, "5": [3, 8, 9, 12, 13, 15, 16, 21, 24, 25, 26, 27, 28, 29], "qr": 3, "befor": [3, 6, 9, 12, 14, 15, 16, 24, 29], "much": 3, "known": [3, 28], "show": [3, 5, 9, 12, 13, 15, 16, 18, 20, 21, 28, 29], "strong": 3, "tend": 3, "overestim": 3, "complic": 3, "carefulli": 3, "check": [3, 6, 27], "allow": 3, "differ": [3, 9, 12, 13, 16, 25, 26, 28], "between": [3, 9, 12, 16], "li": 3, "whether": [3, 6, 7, 9, 14, 15, 16, 27], "coeffici": [3, 9, 12, 16, 17, 29], "expon": 3, "henc": [3, 28], "emploi": 3, "significantli": 3, "main": [3, 18, 19], "aspect": 3, "One": [3, 6, 9, 12, 15, 16, 28, 29], "major": 3, "entangl": [3, 25], "progress": [3, 25], "toward": 3, "doe": [3, 6, 9, 15, 16, 17, 23, 27], "excess": 3, "descript": [3, 7, 8, 9, 12, 14, 15, 16, 17], "work": [3, 6, 23, 28], "unless": 3, "eigenst": 3, "To": [3, 6, 15, 26, 27, 28, 29], "maintain": 3, "necessari": [3, 6, 7, 9, 15, 16, 25, 27], "get": [3, 6, 28], "longer": [3, 6], "realist": 3, "resourc": [3, 6], "accur": [3, 28], "applic": 3, "around": 3, "strength": [3, 25, 28], "anoth": [3, 6, 19, 29], "characterist": 3, "phenomenon": 3, "reproduc": 3, "reach": 3, "minor": 3, "deviat": 3, "correct": [3, 6], "path": [3, 23, 24, 25, 26, 27, 28], "signific": 3, "On": [3, 15, 23, 27, 28], "interest": 3, "final": [3, 9, 12, 16, 19, 21, 24, 28, 29], "itself": [3, 9, 16, 17, 24], "increment": [3, 24], "delta": 3, "situat": 3, "mai": [3, 6, 13, 23, 25], "more": [3, 9, 12, 13, 15, 16, 17, 28], "possibl": [3, 9, 12, 16, 29], "handl": 3, "edit": [3, 18, 21], "section": [3, 7, 8, 10, 11, 12, 13, 14, 17, 19, 21, 24, 26, 27, 28, 29], "ultim": 3, "enter": [3, 25], "far": 3, "pure": 3, "mix": 3, "rho": [3, 9, 14, 15, 16], "tr": 3, "invers": [3, 9, 13, 14, 15, 16, 26], "_": [3, 9, 12, 15, 16, 21, 27, 29], "expans": [3, 9, 16, 17], "mpo": 3, "drawn": 3, "just": [3, 6, 9, 29], "impo": 3, "repeat": 3, "As": [3, 9, 12, 15, 16, 24, 25, 27, 29], "iipo": 3, "tpo": 3, "specif": [3, 9, 12, 16, 23, 25, 26], "itpo": 3, "note": [3, 9, 14, 15, 16, 24, 25, 26, 28, 29], "densiti": [3, 24, 27, 28], "almost": [3, 6, 27, 28], "directli": [3, 18, 26], "current": [3, 9, 14, 15, 16, 20, 29], "rho_": 3, "clariti": 3, "biggest": 3, "appear": [3, 9, 14, 15, 16, 27, 28], "rangle_": 3, "trace": 3, "connect": [3, 9, 12, 16], "upper": [3, 15], "lower": [3, 6], "leg": [3, 9], "denomin": 3, "structur": [3, 15, 27, 28], "smaller": 3, "compar": [3, 6], "black": 3, "circl": [3, 15], "being": 3, "correspondingli": 3, "proportion": 3, "condit": [3, 9, 15, 16, 17, 21, 24, 25], "requir": [3, 6, 23, 28, 29], "amount": [3, 15, 27], "It": [3, 6, 9, 12, 16, 23, 27, 28], "contain": [3, 27], "z": [3, 8, 9, 12, 15, 16, 24, 25, 26, 27, 29], "lastli": 3, "import": [3, 6, 24, 27], "mention": 3, "drawback": 3, "hermitian": 3, "posit": [3, 8, 9, 15, 16], "semidefinit": 3, "eigenvalu": [3, 7, 9, 13, 15, 16], "guarante": [3, 6], "might": [3, 25], "exhibit": 3, "unphys": 3, "behavior": [3, 26], "cannot": [3, 20, 21], "improv": [3, 6], "recov": 3, "ha": [3, 9, 11, 12, 14, 15, 16, 17, 26, 27, 28], "been": [3, 26, 27], "propos": 3, "purif": 3, "purifi": 3, "similar": [3, 16, 27, 29], "structr": 3, "manag": 3, "direct": [3, 8, 9, 12, 13, 15, 16, 17, 27, 28, 29], "refer": [3, 9, 14, 15, 16, 25, 28], "r": [3, 8, 9, 14, 15, 16], "or\u00fa": 3, "introduct": 3, "pair": [3, 9, 12, 16, 27, 28, 29], "annal": 3, "349": 3, "117": 3, "2014": 3, "link": [3, 25, 28], "complex": [3, 6, 9, 14, 15, 16, 24], "review": 3, "538": 3, "schollwc\u00f6k": 3, "ag": 3, "326": 3, "96": 3, "2011": 3, "nishino": 3, "okunishi": 3, "soc": 3, "jpn": 3, "65": 3, "891": 3, "1996": 3, "vidal": 3, "revisit": 3, "rev": [3, 9, 14, 15, 16, 25, 28], "b": [3, 8, 9, 15, 16, 26, 28, 29], "80": [3, 24], "094403": 3, "2009": 3, "p": 3, "corboz": 3, "et": 3, "al": 3, "compet": 3, "uniform": [3, 9, 16, 17], "wave": [3, 13, 15, 25, 27, 28], "versu": 3, "stripe": 3, "lett": [3, 25, 28], "113": 3, "046402": 3, "jordan": 3, "classic": 3, "spatial": 3, "101": 3, "250602": 3, "2008": 3, "jiang": 3, "090603": 3, "l": [3, 9, 15, 16, 17, 20, 24, 25, 26, 27], "wang": 3, "mont": [3, 26], "carlo": [3, 26], "83": 3, "134421": 3, "kshetrimayum": 3, "m": [3, 25, 28], "rizzi": 3, "eisert": 3, "anneal": 3, "thermal": 3, "122": 3, "070502": 3, "czarnik": 3, "dziarmaga": 3, "99": 3, "035115": 3, "first": [3, 6, 7, 9, 12, 13, 15, 16, 17, 20, 21, 24, 25, 26, 27, 29], "principl": [3, 27], "98": 3, "045110": 3, "2018": [3, 9, 13, 14, 15, 16], "algorithm": [4, 22], "contract": [4, 22, 24], "itp": [4, 22, 28], "optim": [4, 9, 14, 15, 16, 22], "simul": [4, 6, 11, 19, 21, 22], "report": 5, "bug": 5, "pleas": [5, 9, 14, 15, 16, 19, 23, 24, 25, 26], "github": [5, 23], "page": [5, 22, 23], "guidelin": 5, "specifi": [5, 8, 9, 12, 14, 15, 16, 17, 19, 20, 21, 27, 28, 29], "compil": 5, "instal": [5, 22, 24], "includ": 5, "output": [5, 9, 10, 11, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 29], "cmake": [5, 23], "cmakecach": 5, "txt": 5, "occur": [5, 15, 27], "dure": [5, 6], "execut": [5, 19, 23, 24, 25, 26, 27, 28], "your": [5, 23, 26], "cooper": 5, "question": 5, "about": [5, 8, 9, 16, 26], "topic": 5, "relat": [5, 9, 12, 16], "research": 5, "difficult": [5, 6, 26, 28], "consult": 5, "send": 5, "mail": 5, "address": 5, "dev__at__issp": 5, "ac": 5, "jp": 5, "replac": [5, 9, 13, 14, 15, 16], "__at__": 5, "q1": 6, "how": [6, 7, 9, 11, 12, 15, 16, 19, 29], "set": [6, 9, 12, 14, 15, 16, 17, 24, 25, 26, 27, 28, 29], "a1": [6, 29], "its": [6, 28], "should": [6, 19, 26, 27, 28, 29], "balanc": 6, "see": [6, 9, 13, 14, 15, 16, 18, 19, 20, 21, 23, 24, 27, 28], "what": [6, 22, 27], "happen": [6, 27], "do": [6, 18, 27], "liquid": 6, "must": [6, 9, 12, 16, 23], "begin": [6, 9, 12, 16, 24, 25, 26, 27, 28, 29], "q2": 6, "a2": 6, "bring": 6, "closer": 6, "necessarili": 6, "deterior": 6, "plot": [6, 25, 26, 27, 28], "against": 6, "idea": 6, "adopt": [6, 9, 14, 15, 16], "strategi": 6, "q3": 6, "a3": 6, "desir": 6, "chang": [6, 9, 14, 15, 16, 24, 27], "paramet": [6, 8, 10, 11, 20, 21, 24, 25, 26, 27, 28, 29], "togeth": 6, "assign": 6, "virtual_dim": [6, 9, 15, 16, 17, 20, 21, 24, 25, 26, 27, 29], "latter": [6, 9, 12, 16, 21, 27], "take": [6, 18, 20, 21], "greater": 6, "equal": [6, 7, 9, 12, 15, 16, 25], "former": [6, 21], "q4": 6, "test": [6, 23], "a4": 6, "easiest": 6, "seed": [6, 9, 13, 14, 15, 16], "configur": 6, "guess": 6, "candid": 6, "though": 6, "unit": [6, 9, 15, 16, 17, 24, 27, 30], "cell": [6, 9, 15, 16, 17, 24, 27, 30], "recommend": [6, 23], "phi": [6, 15], "length": [7, 9, 12, 13, 15, 16, 24], "xi": [7, 9, 13, 15, 16], "name": [7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 20, 21, 24, 25, 26, 27, 28, 29], "default": [7, 9, 14, 15, 16, 17, 20, 21, 23], "measur": [7, 8, 9, 12, 13, 14, 15, 16], "bool": [7, 9, 15, 16], "true": [7, 9, 13, 14, 15, 16, 20, 21, 24, 25, 27, 29], "num_eigv": [7, 9, 15, 16], "integ": [7, 8, 9, 12, 14, 15, 16, 17, 29], "maxdim_dense_eigensolv": [7, 9, 15, 16], "maximum": [7, 8, 9, 14, 15, 16, 24, 28], "dens": [7, 9, 15, 16], "200": [7, 9, 15, 16, 24, 26, 27], "arnoldi_maxdim": [7, 9, 15, 16], "hessenberg": [7, 9, 15, 16], "arnoldi": [7, 9, 15, 16], "50": [7, 9, 13, 15, 16, 24, 26], "arnoldi_restartdim": [7, 9, 15, 16], "vector": [7, 9, 15, 16, 28], "restart": [7, 9, 15, 16], "process": [7, 9, 12, 14, 15, 16, 22, 23, 24, 30], "ira": [7, 9, 15, 16], "arnoldi_maxiter": [7, 9, 15, 16], "arnoldi_rtol": [7, 9, 15, 16], "rel": [7, 9, 13, 15, 16], "toler": [7, 9, 15, 16], "float": [7, 9, 12, 15, 16, 24, 27], "1e": [7, 9, 13, 14, 15, 16], "domin": [7, 9, 15, 16], "less": [7, 9, 14, 15, 16], "eigensolv": [7, 9, 15, 16], "lapack": [7, 9, 15, 16, 23], "geev": [7, 9, 15, 16], "routin": [7, 9, 15, 16], "implicit": [7, 9, 15, 16], "Its": [7, 9, 15, 16], "newli": [7, 9, 15, 16], "c": [8, 9, 13, 15, 16, 23, 26, 28], "boldsymbol": [8, 9, 16, 28], "_0": [8, 9, 16], "omit": [8, 9, 12, 15, 16], "coordin": [8, 9, 12, 13, 15, 16, 20, 29], "top": [8, 9, 15, 16, 17, 29], "along": [8, 9, 15, 16, 28], "x": [8, 9, 13, 15, 16, 17, 20, 21, 24, 25, 26, 27, 28, 29], "axi": [8, 9, 16, 25, 26, 28], "r_": [8, 9, 16], "text": [8, 9, 15, 16, 28], "max": [8, 9, 15, 16], "unitcel": [8, 20, 21, 28, 29], "center": [8, 9, 16, 23], "r_max": [8, 9, 16], "distanc": [8, 9, 16], "list": [8, 9, 12, 14, 15, 16, 17, 29], "observ": [8, 10, 11, 13, 14, 15, 21, 24, 25, 26, 28, 29], "onesit": [8, 21, 24, 29], "0th": [8, 9, 15, 16], "1st": [8, 9, 15, 16], "le": [8, 9, 12, 16], "format": [9, 11, 13, 15, 16, 19, 22], "toml": [9, 11, 15, 16, 18, 20, 21, 23, 24, 25, 26, 27, 28, 29], "five": [9, 13, 14, 15, 16], "variou": [9, 12, 14, 15, 16], "mode": [9, 10, 14, 15, 16, 22, 25, 26, 30], "string": [9, 12, 14, 15, 16, 29], "is_real": [9, 13, 14, 15, 16, 20, 21, 24, 26, 27, 29], "ones": [9, 11, 14, 15, 16, 19, 21, 24], "boolean": [9, 14, 15, 16], "fals": [9, 13, 14, 15, 16, 24, 26], "iszero_tol": [9, 13, 14, 15, 16], "absolut": [9, 13, 14, 15, 16], "cutoff": [9, 14, 15, 16], "read": [9, 11, 14, 15, 16, 24], "save": [9, 14, 15, 16, 24, 25, 29], "measure_interv": [9, 14, 15, 16, 26], "interv": [9, 14, 15, 16, 27], "directori": [9, 14, 15, 16, 23, 24, 25, 26, 27, 29], "tensor_sav": [9, 14, 15, 16, 25, 27, 29], "tensor_load": [9, 14, 15, 16, 25, 27, 29], "load": [9, 14, 15, 16, 24, 25, 27, 28], "search": [9, 14, 15, 16, 22], "tenes_std": [9, 10, 11, 14, 15, 17, 19, 20, 22, 23, 24, 25, 26, 27, 29], "element": [9, 12, 14, 15, 16, 17, 21, 24, 29], "least": [9, 14, 15, 16], "end": [9, 12, 14, 15, 16, 23, 24, 25, 26, 27, 28, 29], "error": [9, 12, 14, 15, 16, 17, 21, 23], "start": [9, 13, 14, 15, 16, 17, 23, 24, 25, 27, 28], "regard": [9, 14, 15, 16], "zero": [9, 12, 14, 15, 16, 17, 28, 29], "meaur": [9, 14, 15, 16], "stage": [9, 14, 15, 16], "skip": [9, 13, 14, 15, 16, 29], "elaps": [9, 14, 15, 16, 24], "dat": [9, 14, 15, 16, 20, 24, 25, 26, 27, 29], "alwai": [9, 14, 15, 16], "quantitit": [9, 14, 15, 16], "numer": [9, 14, 15, 16, 26], "empti": [9, 12, 13, 14, 15, 16, 17, 29], "01": [9, 13, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "num_step": [9, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "lambda_cutoff": [9, 14, 15, 16], "gauge_fix": [9, 14, 15, 16], "gaug": [9, 14, 15, 16], "fix": [9, 14, 15, 16, 23], "gauge_maxit": [9, 14, 15, 16], "100": [9, 13, 14, 15, 16, 24, 27], "gauge_converge_epsilon": [9, 14, 15, 16], "criteria": [9, 14, 15, 16], "bar": [9, 14, 15, 16], "env_cutoff": [9, 14, 15, 16], "through": [9, 14, 15, 16, 23, 27], "inverse_precis": [9, 14, 15, 16], "pseudoinvers": [9, 14, 15, 16], "convergence_epsilon": [9, 14, 15, 16], "iteration_max": [9, 14, 15, 16, 24, 25, 26, 27, 29], "fastfullupd": [9, 14, 15, 16], "fast": [9, 14, 15, 16], "projector_cutoff": [9, 14, 15, 16], "projector_corn": [9, 14, 15, 16], "use_rsvd": [9, 13, 14, 15, 16], "rsvd_oversampling_factor": [9, 13, 14, 15, 16], "ratio": [9, 14, 15, 16], "oversampl": [9, 14, 15, 16], "meanfield_env": [9, 13, 14, 15, 16, 24, 25], "renom": [9, 14, 15, 16], "igarashi": [9, 14, 15, 16], "zhao": [9, 14, 15, 16], "97": [9, 14, 15, 16], "033310": [9, 14, 15, 16], "pseudo": [9, 14, 15, 16], "own": [9, 14, 15, 16, 29], "plu": [9, 14, 15, 16], "id": [9, 13, 14, 15, 16, 25, 26], "No": [9, 14, 15, 16], "9": [9, 13, 14, 15, 16, 20, 21, 25], "rectangular": [9, 16, 17], "lx": [9, 16, 17], "ly": [9, 16, 17], "arrai": [9, 12, 16, 17], "l_sub": [9, 16, 17, 21, 29], "skew": [9, 13, 15, 16, 17, 21, 29], "shift": [9, 16, 17], "boundari": [9, 15, 16, 17, 21, 29], "pass": [9, 15, 16, 17, 23, 27], "three": [9, 12, 15, 16, 17, 27, 28, 29], "caus": [9, 13, 16, 17], "both": [9, 12, 16, 17], "index": [9, 12, 13, 16, 17, 20, 21, 22, 29], "These": [9, 16, 17, 28, 29], "arrang": [9, 15, 16, 17], "rule": [9, 16, 17], "separ": [9, 12, 16, 17], "t_": [9, 15, 16, 17], "ijkl": [9, 16, 17], "alpha": [9, 13, 15, 16, 17, 27], "here": [9, 12, 16, 17, 25, 26, 27, 28], "virtual": [9, 16, 17, 21], "physical_dim": [9, 16, 17, 21, 29], "initial_st": [9, 16, 17, 21, 29], "nois": [9, 15, 16, 17, 21, 29], "individu": [9, 16, 17], "four": [9, 12, 13, 15, 16, 17], "bottom": [9, 16, 17], "psi_i": [9, 16, 17, 29], "otimes_i": [9, 16, 17, 29], "a_": [9, 16, 17, 29], "rangle_i": [9, 16, 17], "realiz": [9, 16, 17], "some": [9, 11, 16, 17, 23, 27], "automat": [9, 15, 16, 17, 23], "normal": [9, 16, 17], "0000": [9, 16, 17], "want": [9, 16, 17, 23, 29], "sqrt": [9, 15, 16, 17, 28], "initil_st": [9, 16, 17], "identif": [9, 12, 16, 29], "dim": [9, 12, 16, 21, 29], "coeff": [9, 12, 16], "coeff_im": [9, 12, 16], "operat": [9, 12, 16], "act": [9, 12, 16, 21, 29], "point": [9, 12, 15, 16, 25], "space": [9, 12, 16], "cc": [9, 12, 16], "explain": [9, 12, 16, 29], "sz": [9, 12, 13, 16, 21, 24, 25, 26, 27, 29], "otherwis": [9, 12, 13, 16], "label": [9, 12, 16], "op": [9, 12, 16, 21, 29], "last": [9, 12, 13, 16, 28], "dx": [9, 12, 13, 16], "dy": [9, 12, 13, 16], "word": [9, 12, 16, 24], "statu": [9, 12, 16, 24], "z_j": [9, 12, 15, 16, 29], "heisenberg": [9, 12, 16, 20, 21, 22, 28, 30], "lsub": [9, 12, 13, 16], "s_j": [9, 12, 16, 29], "below": [9, 12, 16, 20, 21, 25, 26], "superposit": [9, 12, 16], "let": [9, 12, 16, 27, 28, 29], "indeci": [9, 12, 16], "bond_22": [9, 12, 16], "locat": [9, 12, 16, 26], "uparrow_i": [9, 12, 16], "uparrow_j": [9, 12, 16], "likewis": [9, 12, 16], "off": [9, 12, 16, 23], "downarrow_j": [9, 12, 16], "downarrow_i": [9, 12, 16], "multi": [9, 12, 13, 16], "source_sit": [9, 12, 13, 16], "dx2": [9, 12, 16], "dy2": [9, 12, 16], "dx3": [9, 12, 16], "dy3": [9, 12, 16], "dxn": [9, 12, 16], "dyn": [9, 12, 16], "z_k": [9, 12, 16], "opetr": 9, "source_leg": 9, "avail": [9, 28], "clockwis": 9, "source_initi": 9, "target_initi": 9, "source_fin": 9, "target_fin": 9, "0012507815756226": 9, "9987507809245809": 9, "9975031223974601": 9, "0025156589209967": 9, "005012536523536871": 9, "summari": [10, 22], "tenes_simpl": [10, 11, 19, 22, 23, 24, 25, 26, 27, 28], "correlation_length": [10, 11], "additionari": [11, 23], "tabl": 11, "summar": [11, 15], "out": 11, "subsect": [12, 14, 15], "directri": 13, "paramt": 13, "simple_num_step": 13, "simple_tau": 13, "simple_inverse_lambda_cutoff": 13, "simple_gauge_fix": 13, "simple_gauge_maxit": 13, "simple_gauge_convergence_epsilon": 13, "full_num_step": 13, "full_inverse_projector_cutoff": 13, "full_inverse_precis": 13, "full_convergence_epsilon": 13, "full_iteration_max": 13, "full_gauge_fix": 13, "full_fastfullupd": 13, "ctm_dimens": 13, "ctm_inverse_projector_cutoff": 13, "ctm_convergence_epsilon": 13, "ctm_iteration_max": 13, "ctm_projector_corn": 13, "lcor": 13, "tensor_load_dir": 13, "tensor_save_dir": 13, "save_tensor": [13, 25], "outdir": 13, "start_datetim": 13, "08t16": 13, "41": 13, "00": [13, 25, 26, 29], "64429": 13, "environmn": [13, 24], "741858": 13, "104487": 13, "per": [13, 24, 29], "summat": [13, 29], "00499902760266346e": 13, "00000000000000000e": [13, 25, 26, 29], "99999945662006270e": 13, "99999945662006284e": 13, "sx": [13, 24, 25, 26], "24214061616647275e": 13, "05": [13, 25, 26], "sy": [13, 25, 26], "34065881671767322e": 13, "99999902814604325e": 13, "22346094146706503e": 13, "szsz": [13, 21, 24, 25, 26, 29], "99999902814604380e": 13, "80051315353166456e": 13, "sxsx": [13, 24, 25, 26], "12631053560300631e": 13, "08792260271591701e": 13, "sysi": [13, 24, 25, 26], "12817627661272438e": 13, "76468712680822333e": 13, "hat": 13, "alpha_i": [13, 15], "row": [13, 25, 29], "column": [13, 20, 25, 26], "re": [13, 27], "imag": [13, 21, 25, 26, 29], "im": [13, 27], "addit": [13, 15, 25, 26], "someth": 13, "wrong": 13, "too": 13, "op_group": [13, 29], "site_index": [13, 29], "99999945520001373e": 13, "99999967900088089e": 13, "99999894622883147e": 13, "99999974605052581e": 13, "99999945520001376e": 13, "99999967900088049e": 13, "99999894622883134e": 13, "99999974605052522e": 13, "00000000000000044e": 13, "six": 13, "49999925774909121e": 13, "38316768671362694e": 13, "49999967989907063e": 13, "24343236807659553e": 13, "22": [13, 25], "49999972903562101e": 13, "06825262200104597e": 13, "49999957625646446e": 13, "06789370628128221e": 13, "24": 13, "49999931343147630e": 13, "11801499860976615e": 13, "49999939447834718e": 13, "65429596395607220e": 13, "00000000000000067e": 13, "filenam": [13, 20, 21], "_i": [13, 15, 16, 24, 25, 26, 27, 29], "equiv": [13, 27], "x_i": 13, "y_i": 13, "seven": 13, "left_op": 13, "left_sit": 13, "right_op": 13, "right_dx": 13, "right_di": 13, "7": [13, 25, 26, 28], "71759992763061836e": 13, "36428299157186382e": 13, "43751794649139675e": 13, "14110668277268192e": 13, "42375391377041444e": 13, "14103263451826963e": 13, "41835919840103741e": 13, "11365361507372103e": 13, "41783912096811515e": 13, "12856813523671142e": 13, "72711348845767942e": 13, "40873628493918905e": 13, "43814797743900907e": 13, "17958665742991377e": 13, "42415176172922653e": 13, "22109610917000360e": 13, "41838862178711583e": 13, "19321507524565005e": 13, "41792935491960648e": 13, "23094733264734764e": 13, "95389427681298805e": 13, "15901595234210079e": 13, "15": 13, "01916094009441903e": 13, "27162373457160362e": 13, "41888376278899312e": 13, "38672137694415560e": 13, "16": [13, 24], "coodin": 13, "e_1": 13, "4th": 13, "subsequ": 13, "logarithm": 13, "e_i": 13, "log": [13, 24], "lambda_0": 13, "estim": 13, "prx": 13, "041033": 13, "031030": 13, "dir": 13, "coorin": 13, "t_i": 13, "t_0": 13, "largest": 13, "18785686529154477e": 13, "57068291744370647e": 13, "88102462824739991e": 13, "20658864940629751e": 13, "53188228022952533e": 13, "56359469233104953e": 13, "23312072254469030e": 13, "47803824443704013e": 13, "03413555039678595e": 13, "00830966658579996e": 13, "97931178960083720e": 13, "08813099309339911e": 13, "obesrv": 13, "00684745572451129e": 13, "84842757985213292e": 13, "99999945661913914e": 13, "24214061616496842e": 13, "99999999999993783e": 13, "54571641402435656e": 13, "25677610112348483e": 13, "43318936197596913e": 13, "73418200262321655e": 13, "89240026254938282e": 13, "33393869225996210e": 13, "99999945519898625e": 13, "99999967900020936e": 13, "99999894622765451e": 13, "99999999999999667e": 13, "49999925774803150e": 13, "01660465821037727e": 13, "49999967989888300e": 13, "23516895582898471e": 13, "49999972903488521e": 13, "20403358955599675e": 13, "49999957625561042e": 13, "13590865617858526e": 13, "49999931343070220e": 13, "27316466562544801e": 13, "99999999999999445e": 13, "38777878078144568e": 13, "third": [13, 15, 20, 21], "eight": 13, "83422488349707711e": 13, "90382762094233524e": 13, "30943360551218668e": 13, "19695835411528090e": 13, "23": 13, "12158436385765748e": 13, "04903226091485958e": 13, "13819451426396547e": 13, "74438421668770658e": 13, "33224506806043380e": 13, "71850465073480394e": 13, "96301355731331212e": 13, "37659660157453792e": 13, "18": [13, 24], "5th": 13, "18785686529220424e": 13, "57068291744232891e": 13, "88102462824919758e": 13, "20658864940612931e": 13, "53188228022987083e": 13, "56359469232955917e": 13, "23312072254560540e": 13, "47803824443520515e": 13, "03413555040836602e": 13, "00830966658709920e": 13, "97931178959761578e": 13, "97931178959761667e": 13, "08813099310449513e": 13, "99999999999999917e": 13, "02379048126702904e": 13, "94122296382149528e": 13, "94122296382149617e": 13, "74309974506451315e": 13, "20416567580991346e": 13, "53686404327366777e": 13, "18101616573088020e": 13, "12137154053103655e": 13, "71393143960851368e": 13, "17220113786375002e": 13, "90367314703518503e": 13, "25300260476656966e": 13, "61893825410630487e": 13, "00000000000000039e": 13, "96835348300227503e": 13, "08038829730281805e": 13, "35176717846311778e": 13, "02355022722768896e": 13, "94180963014702801e": 13, "57691315725687975e": 13, "05314677188187883e": 13, "87057239986509760e": 13, "90951918842309798e": 13, "63323696507474692e": 13, "12281023136305169e": 13, "83104916294462416e": 13, "61585992965019176e": 13, "16644355600232430e": 13, "29497956495965427e": 13, "those": [13, 21, 29], "ft_": 13, "te_": 13, "standard": [15, 18, 22, 24, 30], "alpha_": 15, "alpha_j": 15, "vec": 15, "_j": [15, 24, 25, 26, 27], "sum_i": [15, 16, 24, 25, 26, 27, 28], "term": [15, 20], "magnitud": [15, 24, 27], "half": 15, "hx": [15, 24, 25, 26], "hy": 15, "hz": [15, 27], "anisotropi": 15, "exchang": 15, "j0": 15, "j1": 15, "j2": 15, "2nd": 15, "surround": 15, "keynam": 15, "quotat": 15, "mark": 15, "coupl": 15, "Ising": [15, 22, 30], "ad": [15, 26], "charact": 15, "xyz": 15, "compon": [15, 29], "twice": 15, "biquadrat": 15, "b0": 15, "b1": 15, "b2": 15, "dagger_i": 15, "b_j": [15, 28], "dagger_j": 15, "b_i": [15, 28], "v_": 15, "n_i": [15, 28], "n_j": [15, 28], "mu": [15, 28], "dagger": [15, 28], "annihil": 15, "nmax": 15, "particl": [15, 28], "onsit": [15, 20], "repuls": 15, "chemic": [15, 28], "potenti": [15, 28], "hop": [15, 28], "offsit": 15, "v": [15, 28], "t0": 15, "t1": 15, "t2": 15, "v0": 15, "v1": 15, "v2": 15, "leftrightarrow": 15, "w": [15, 20, 24, 25, 26, 27], "init": 15, "ignor": 15, "ferro": [15, 24, 25], "ferromagnet": [15, 24, 25, 26], "antiferro": [15, 20], "antiferromagnet": [15, 30], "neel": [15, 29], "sublattic": [15, 29], "120": 15, "belong": 15, "theta": 15, "pi": [15, 28], "fluctuat": [15, 29], "concret": 15, "fig": [15, 19, 24, 25, 26, 27, 28], "blue": 15, "bondtyp": 15, "red": 15, "90": [15, 24], "45": 15, "green": 15, "60": [15, 24], "correnspond": 15, "dash": 15, "ellips": 15, "denot": [15, 20, 25, 26], "150": 15, "most": 15, "triangl": 15, "lowertriangl": 15, "white": 15, "dummi": 15, "detail": [15, 18, 19, 20, 21, 24], "judg": 16, "destin": 16, "random": [17, 27], "argument": [18, 20, 21], "command": [18, 20, 21, 23, 24, 27, 28], "option": [18, 20, 21, 23], "help": [18, 20, 21, 27], "messag": [18, 20, 21], "quiet": 18, "print": [18, 24, 25, 26, 27], "etc": 19, "eas": 19, "script": [19, 24, 25, 26, 27, 28], "provid": [19, 23, 26], "schemat": 19, "flow": 19, "yourself": [19, 23], "accord": 19, "predetermin": 19, "simpler": 19, "creat": [19, 20], "convert": 19, "std": [20, 21, 24, 29], "coordinatefil": 20, "coordfil": 20, "cartesian": 20, "zeeman": 20, "kagom": 20, "sampl": [20, 21, 24, 25, 26, 27, 28, 29], "simple_upd": [20, 21, 24, 25, 26, 27, 29], "1000": [20, 21, 24, 27, 29], "full_upd": [20, 21, 24, 25, 26, 27, 29], "exp": [21, 28], "duplic": 21, "stop": 21, "simultan": [21, 26], "append": [21, 28], "coord": 21, "nonzero": [21, 29], "fourth": 21, "fifth": 21, "sixth": 21, "twosit": [21, 24, 29], "download": 22, "prerequisit": 22, "tutori": [22, 25, 26], "transvers": [22, 30], "phase": [22, 25, 30], "hardcor": [22, 30], "boson": [22, 30], "trianglar": [22, 30], "faq": 22, "acknowledg": 22, "contact": 22, "modul": 22, "code": 23, "git": 23, "clone": 23, "http": 23, "com": 23, "issp": 23, "dev": 23, "bla": 23, "cpptoml": 23, "debian": 23, "linux": 23, "ubuntu": 23, "root": 23, "priviledg": 23, "them": [23, 24, 28, 29], "sudo": 23, "apt": 23, "openmpi": 23, "bin": 23, "libopenmpi": 23, "libscalapack": 23, "offici": 23, "instruct": 23, "implement": 23, "python3": [23, 26], "numpi": [23, 24, 27], "scipi": 23, "cento": 23, "cmake3": 23, "mkdir": 23, "cd": 23, "dcmake_install_prefix": 23, "usr": 23, "accept": 23, "num": [23, 24, 27], "drastic": 23, "src": 23, "denable_mpi": 23, "maco": 23, "incompat": 23, "detect": 23, "sometim": 23, "dcmake_cxx_compil": 23, "fail": 23, "lib": 23, "dscalapack_root": 23, "libmptensor": 23, "add": 23, "dmptensor_root": 23, "found": [23, 25], "via": 23, "env": 23, "sure": 23, "invok": 23, "exist": [23, 25, 28], "dtenes_python_execut": 23, "present": [24, 26], "align": [24, 25, 26, 27, 28], "pauli": [24, 25, 26], "variabl": 24, "slice": 24, "meanfield": 24, "bulk": 24, "jz": [24, 25, 26], "jx": [24, 25, 26], "jy": [24, 25, 26], "sinc": [24, 25, 26, 27], "manifest": 24, "properli": 24, "thread": 24, "300": 24, "40": 24, "400": 24, "500": [24, 25, 27], "600": 24, "70": 24, "700": 24, "800": 24, "900": 24, "output_0": 24, "onesite_ob": [24, 29], "twosite_ob": 24, "28526262482e": 24, "7374919982e": 24, "73749202733e": 24, "wall": 24, "sec": 24, "545813509": 24, "123170523": 24, "048149856": 24, "displai": [24, 25, 26], "finish": [24, 27, 28], "run": [24, 25, 26, 27, 28], "tutorial_exampl": 24, "py": [24, 26, 27, 28], "tutorial_read": 24, "prepar": [24, 25, 26, 27, 29], "01_transverse_field_is": 24, "subprocess": [24, 27], "np": [24, 27], "mpi_cmd": [24, 27], "mpiexec": [24, 27], "num_hx": 24, "min_hx": 24, "max_hx": 24, "total": [24, 27], "idx": [24, 27], "enumer": [24, 27], "linspac": [24, 27], "f": [24, 27], "dict_toml": [24, 27], "output_": [24, 27], "simple_toml": [24, 27], "simple_": [24, 27], "std_toml": [24, 27], "std_": [24, 27], "input_toml": [24, 27], "input_": [24, 27], "dump": [24, 27], "cmd": [24, 27], "split": [24, 27, 29], "join": [24, 27], "en": [24, 27], "mag_sz": [24, 27], "mag_sx": 24, "elif": [24, 27], "python": [24, 27, 28], "macbook2017": 24, "ghz": 24, "intel": 24, "core": [24, 28], "i7": 24, "minut": [24, 26, 28], "seen": [24, 25, 27], "decreas": [24, 27], "introduc": [25, 27], "02_time_evolut": 25, "serv": 25, "simple_te_strong": 25, "output_te_strong": 25, "moreov": [25, 26], "util": 25, "ft_densiti": [25, 26], "record": 25, "bond_hamiltonian": [25, 26], "00184764052080899e": 25, "99999945646528332e": 25, "24306486797199186e": 25, "34088935337348195e": 25, "47535331983321418e": 25, "99999902788251294e": 25, "46256269499545126e": 25, "12653588020163689e": 25, "35907290717320676e": 25, "12840199341671039e": 25, "06527532941704114e": 25, "longitudin": 25, "extract": [25, 26], "awk": [25, 26], "te_dens": 25, "magnetization_strong": 25, "ve": [25, 26], "simple_te_middl": 25, "simple_te_weak": [25, 26], "addition": [25, 28], "sh": [25, 26], "go": [25, 29], "ensur": [25, 26], "correctli": 25, "conclud": 25, "launch": 25, "gnuplot": [25, 26, 27, 28], "plt": [25, 26], "tempor": 25, "s_z": [25, 26, 27], "graph": [25, 26, 28], "illustr": [25, 26], "vertic": [25, 26], "horizont": [25, 26], "exce": 25, "transit": 25, "oscil": 25, "dqpt": 25, "At": 25, "capac": [25, 26], "insuffici": 25, "jump": 25, "discontinu": 25, "virtual_dimens": 25, "instanc": 25, "adjust": 25, "redo": 25, "elimin": 25, "showcas": 25, "heyl": 25, "polkovnikov": 25, "kehrein": 25, "dynam": 25, "110": 25, "135704": 25, "2013": 25, "subject": 26, "03_finite_temperatur": 26, "simple_ft_strong": 26, "output_ft_strong": 26, "005": 26, "energy_strong": 26, "simple_ft_middl": 26, "simple_ft_zero": 26, "up": [26, 27, 29], "complet": [26, 27], "heat": 26, "differenti": 26, "calcspec": 26, "spline": 26, "interpol": 26, "visual": 26, "s_x": 26, "plot_": 26, "plot_c": 26, "plot_mx": 26, "plot_mz": 26, "persist": 26, "m_x": 26, "m_z": 26, "comparison": 26, "alp": 26, "looper": 26, "extern": 27, "n_u": 27, "tutorial_magnet": 27, "04_magnet": 27, "lighter": 27, "simplic": 27, "swept": 27, "num_h": 27, "min_h": 27, "max_h": 27, "num_step_t": 27, "2000": 27, "fmag": 27, "fene": 27, "write": 27, "inum": 27, "num_pr": 27, "output_dir": 27, "val": 27, "strip": 27, "close": 27, "store": 27, "consequ": 27, "actual": 27, "hour": 27, "notebook": 27, "pc": 27, "singl": 27, "processor": 27, "gp": [27, 28], "curv": 27, "panel": 27, "plot_en": 27, "plateau": 27, "satur": 27, "gap": 27, "uniqu": 27, "enough": 27, "sign": 27, "presum": 27, "figur": [27, 28], "basic_squar": 27, "tutorial_magnetization_squar": 27, "content": [27, 28], "plot_squar": 27, "plot_square_en": 27, "unlik": 27, "bigl": 28, "bigr": 28, "restrict": 28, "character": 28, "wessel": 28, "superfluid": 28, "offdiagon": 28, "fill": 28, "q": 28, "inset": 28, "factor": 28, "r_i": 28, "r_j": 28, "nn_ob": 28, "05_hardcore_boson_triangular": 28, "previou": 28, "themselv": 28, "std__xxx_yyi": 28, "calculat": 28, "fourier": 28, "transform": 28, "fold": 28, "degener": 28, "select": 28, "ten": 28, "lesssim": 28, "supersolid": 28, "pattern": 28, "troyer": 28, "hard": 28, "bosonson": 28, "95": 28, "127205": 28, "2005": 28, "2x2": 29, "displac": 29, "ket": 29, "a0": 29, "a_k": 29, "sai": 29, "action": 29, "remain": 29, "hamiltoninan": 29, "identifi": 29, "conveni": 29, "pmatrix": 29, "explicitli": 29, "braket": 29, "06_std_model": 29, "20256797875764860e": 29, "20198975366861232e": 29, "20294461413457539e": 29, "20236290136460302e": 29, "down": 29, "impos": 29, "therefor": 29, "stagger": 30}, "objects": {}, "objtypes": {}, "objnames": {}, "titleterms": {"what": 0, "i": 0, "tene": [0, 9, 11, 18, 22], "overview": 1, "develop": 1, "version": 1, "inform": 1, "licens": 1, "paper": 1, "copyright": 1, "acknowledg": 2, "algorithm": 3, "tensor": [3, 9, 16, 17], "network": 3, "state": [3, 13], "contract": 3, "itp": 3, "optim": 3, "real": [3, 25], "time": [3, 13, 25], "evolut": [3, 9, 13, 25], "finit": [3, 13, 26], "temperatur": [3, 13, 26], "simul": 3, "contact": 5, "faq": 6, "exampl": [8, 9, 12, 14, 15, 16, 29], "input": [9, 11, 15, 16], "file": [9, 10, 11, 13, 15, 16], "paramet": [9, 13, 14, 15, 16], "section": [9, 15, 16], "gener": [9, 14, 15, 16], "simple_upd": [9, 14, 15, 16], "full_upd": [9, 14, 15, 16], "ctm": [9, 14, 15, 16], "random": [9, 14, 15, 16], "unitcel": [9, 16, 17], "subsect": [9, 16, 17], "observ": [9, 12, 16], "onesit": [9, 12, 16], "twosit": [9, 12, 16], "multisit": [9, 12, 16], "correl": [9, 13, 15, 16], "correlation_length": [9, 13, 15, 16], "format": 10, "short": 11, "summari": 11, "output": 13, "For": 13, "all": 13, "mode": [13, 29], "dat": 13, "ground": 13, "calcul": [13, 26], "densiti": 13, "onesite_ob": 13, "twosite_ob": 13, "multisite_obs_": 13, "te_dens": 13, "te_onesite_ob": 13, "te_twosite_ob": 13, "te_multisite_obs_": 13, "te_correl": 13, "te_correlation_length": 13, "tenes_simpl": [15, 20], "model": [15, 24, 25, 26, 27, 28, 29], "spin": 15, "system": 15, "boson": [15, 28], "lattic": [15, 27, 28, 29], "squar": [15, 27], "triangular": [15, 27], "honeycomb": 15, "kagom": 15, "tenes_std": [16, 21], "hamiltonian": [16, 29], "usag": [18, 19, 20, 21], "welcom": 22, "": 22, "document": 22, "content": 22, "indic": 22, "tabl": 22, "instal": 23, "download": 23, "prerequisit": 23, "parallel": 23, "build": 23, "disabl": 23, "mpi": 23, "scalapack": 23, "specifi": 23, "compil": 23, "us": [23, 29], "pre": 23, "built": 23, "mptensor": 23, "python": 23, "interpret": 23, "Ising": [24, 25, 26], "transvers": [24, 25, 26], "magnet": [24, 27], "field": [24, 25, 26, 29], "process": 27, "heisenberg": [27, 29], "phase": 28, "diagram": 28, "hardcor": 28, "trianglar": 28, "definit": 29, "oper": 29, "standard": 29, "unit": 29, "cell": 29, "bond": 29, "site": 29, "antiferromagnet": 29, "stagger": 29, "tutori": 30}, "envversion": {"sphinx.domains.c": 3, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 9, "sphinx.domains.index": 1, "sphinx.domains.javascript": 3, "sphinx.domains.math": 2, "sphinx.domains.python": 4, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx": 58}, "alltitles": {"What is TeNeS ?": [[0, "what-is-tenes"]], "Overview": [[1, "overview"]], "Developers": [[1, "developers"]], "Version information": [[1, "version-information"]], "License": [[1, "license"]], "Papers": [[1, "papers"]], "Copyright": [[1, "copyright"]], "Acknowledgement": [[2, "acknowledgement"]], "Algorithm": [[3, "algorithm"]], "Tensor Network States": [[3, "tensor-network-states"]], "Contraction of iTPS": [[3, "contraction-of-itps"]], "Optimization of iTPS": [[3, "optimization-of-itps"]], "Real-time evolution by iTPS": [[3, "real-time-evolution-by-itps"]], "Finite temperature simulation": [[3, "finite-temperature-simulation"]], "Contacts": [[5, "contacts"]], "FAQ": [[6, "faq"]], "Example": [[8, "example"], [9, "example"], [9, "id1"], [9, "id2"], [9, "id3"], [12, "example"], [12, "id1"], [14, "example"], [15, "example"], [16, "example"], [16, "id1"], [16, "id2"], [16, "id3"]], "Input file for tenes": [[9, "input-file-for-tenes"]], "parameter section": [[9, "parameter-section"], [15, "parameter-section"], [16, "parameter-section"]], "parameter.general": [[9, "parameter-general"], [14, "parameter-general"], [15, "parameter-general"], [16, "parameter-general"]], "parameter.simple_update": [[9, "parameter-simple-update"], [14, "parameter-simple-update"], [15, "parameter-simple-update"], [16, "parameter-simple-update"]], "parameter.full_update": [[9, "parameter-full-update"], [14, "parameter-full-update"], [15, "parameter-full-update"], [16, "parameter-full-update"]], "parameter.ctm": [[9, "parameter-ctm"], [14, "parameter-ctm"], [15, "parameter-ctm"], [16, "parameter-ctm"]], "parameter.random": [[9, "parameter-random"], [14, "parameter-random"], [15, "parameter-random"], [16, "parameter-random"]], "tensor section": [[9, "tensor-section"], [16, "tensor-section"]], "tensor.unitcell subsection": [[9, "tensor-unitcell-subsection"], [16, "tensor-unitcell-subsection"], [17, "tensor-unitcell-subsection"]], "observable section": [[9, "observable-section"], [16, "observable-section"]], "observable.onesite": [[9, "observable-onesite"], [12, "observable-onesite"], [16, "observable-onesite"]], "observable.twosite": [[9, "observable-twosite"], [12, "observable-twosite"], [16, "observable-twosite"]], "observable.multisite": [[9, "observable-multisite"], [12, "observable-multisite"], [16, "observable-multisite"]], "evolution section": [[9, "evolution-section"]], "correlation section": [[9, "correlation-section"], [15, "correlation-section"], [16, "correlation-section"]], "correlation_length section": [[9, "correlation-length-section"], [15, "correlation-length-section"], [16, "correlation-length-section"]], "File format": [[10, "file-format"]], "Short summary for input files of TeNeS": [[11, "short-summary-for-input-files-of-tenes"]], "Output files": [[13, "output-files"]], "For all modes": [[13, "for-all-modes"]], "parameters.dat": [[13, "parameters-dat"]], "time.dat": [[13, "time-dat"]], "For ground state calculation mode": [[13, "for-ground-state-calculation-mode"]], "density.dat": [[13, "density-dat"]], "onesite_obs.dat": [[13, "onesite-obs-dat"]], "twosite_obs.dat": [[13, "twosite-obs-dat"]], "multisite_obs_#.dat": [[13, "multisite-obs-dat"]], "correlation.dat": [[13, "correlation-dat"]], "correlation_length.dat": [[13, "correlation-length-dat"]], "For time evolution mode": [[13, "for-time-evolution-mode"]], "TE_density.dat": [[13, "te-density-dat"]], "TE_onesite_obs.dat": [[13, "te-onesite-obs-dat"]], "TE_twosite_obs.dat": [[13, "te-twosite-obs-dat"]], "TE_multisite_obs_#.dat": [[13, "te-multisite-obs-dat"]], "TE_correlation.dat": [[13, "te-correlation-dat"]], "TE_correlation_length.dat": [[13, "te-correlation-length-dat"]], "For finite temperature calculation mode": [[13, "for-finite-temperature-calculation-mode"]], "Input file for tenes_simple": [[15, "input-file-for-tenes-simple"]], "model section": [[15, "model-section"]], "Spin system: \"spin\"": [[15, "spin-system-spin"]], "Bosonic system: \"boson\"": [[15, "bosonic-system-boson"]], "lattice section": [[15, "lattice-section"]], "Square lattice": [[15, "square-lattice"]], "Triangular lattice": [[15, "triangular-lattice"]], "Honeycomb lattice": [[15, "honeycomb-lattice"]], "Kagome lattice": [[15, "kagome-lattice"]], "Input file for tenes_std": [[16, "input-file-for-tenes-std"]], "hamiltonian section": [[16, "hamiltonian-section"]], "Usage of tenes": [[18, "usage-of-tenes"]], "Usage": [[19, "usage"]], "Usage of tenes_simple": [[20, "usage-of-tenes-simple"]], "Usage of tenes_std": [[21, "usage-of-tenes-std"]], "Welcome to TeNeS\u2019s documentation!": [[22, "welcome-to-tenes-s-documentation"]], "Contents": [[22, "contents"]], "Indices and tables": [[22, "indices-and-tables"]], "Install": [[23, "install"], [23, "id1"]], "Download": [[23, "download"]], "Prerequisites": [[23, "prerequisites"]], "Parallel Build": [[23, null]], "Disable MPI/ScaLAPACK parallelization": [[23, null]], "Specify compiler": [[23, null]], "Specify ScaLAPACK": [[23, null]], "Use the pre-built mptensor": [[23, null]], "Specify Python interpreter": [[23, null]], "Ising model with transverse magnetic field": [[24, "ising-model-with-transverse-magnetic-field"]], "Real-Time Evolution of the Transverse Field Ising Model": [[25, "real-time-evolution-of-the-transverse-field-ising-model"]], "Finite Temperature Calculations for the Transverse Field Ising Model": [[26, "finite-temperature-calculations-for-the-transverse-field-ising-model"]], "Magnetization process of the Heisenberg model on triangular and square lattices": [[27, "magnetization-process-of-the-heisenberg-model-on-triangular-and-square-lattices"]], "Phase diagram of the hardcore boson model on a trianglar lattice": [[28, "phase-diagram-of-the-hardcore-boson-model-on-a-trianglar-lattice"]], "Definition of lattices, models, and operators using the standard mode": [[29, "definition-of-lattices-models-and-operators-using-the-standard-mode"]], "Definition of unit cell": [[29, "definition-of-unit-cell"]], "Definition of model (Hamiltonian)": [[29, "definition-of-model-hamiltonian"]], "Bond Hamiltonian": [[29, "bond-hamiltonian"]], "Site Hamiltonian": [[29, "site-hamiltonian"]], "Definition of operators": [[29, "definition-of-operators"]], "Example: Antiferromagnetic Heisenberg model in staggered field": [[29, "example-antiferromagnetic-heisenberg-model-in-staggered-field"]], "Tutorial": [[30, "tutorial"]]}, "indexentries": {}}) \ No newline at end of file +Search.setIndex({"docnames": ["about/index", "about/info", "acknowledge/index", "algorithm/algorithms", "algorithm/index", "contact/index", "faq", "file_specification/correlation_length_section", "file_specification/correlation_section", "file_specification/expert_format", "file_specification/index", "file_specification/input_summary", "file_specification/observable_section", "file_specification/output_format", "file_specification/parameter_section", "file_specification/simple_format", "file_specification/standard_format", "file_specification/tensor_section", "how_to_use/expert_usage", "how_to_use/index", "how_to_use/simple_usage", "how_to_use/standard_usage", "index", "install", "tutorial/01_transverse_field_ising", "tutorial/02_time_evolution", "tutorial/03_finite_temperature", "tutorial/04_magnetization", "tutorial/05_hardcore_boson_triangular", "tutorial/06_std_model", "tutorial/index"], "filenames": ["about/index.rst", "about/info.rst", "acknowledge/index.rst", "algorithm/algorithms.rst", "algorithm/index.rst", "contact/index.rst", "faq.rst", "file_specification/correlation_length_section.rst", "file_specification/correlation_section.rst", "file_specification/expert_format.rst", "file_specification/index.rst", "file_specification/input_summary.rst", "file_specification/observable_section.rst", "file_specification/output_format.rst", "file_specification/parameter_section.rst", "file_specification/simple_format.rst", "file_specification/standard_format.rst", "file_specification/tensor_section.rst", "how_to_use/expert_usage.rst", "how_to_use/index.rst", "how_to_use/simple_usage.rst", "how_to_use/standard_usage.rst", "index.rst", "install.rst", "tutorial/01_transverse_field_ising.rst", "tutorial/02_time_evolution.rst", "tutorial/03_finite_temperature.rst", "tutorial/04_magnetization.rst", "tutorial/05_hardcore_boson_triangular.rst", "tutorial/06_std_model.rst", "tutorial/index.rst"], "titles": ["1. What is TeNeS ?", "1.1. Overview", "8. Acknowledgement", "6. Algorithm", "<no title>", "9. Contacts", "7. FAQ", "<no title>", "Example", "5.4. Input file for tenes", "5. File format", "5.1. Short summary for input files of TeNeS", "observable.onesite", "5.5. Output files", "parameter.general", "5.2. Input file for tenes_simple", "5.3. Input file for tenes_std", "tensor.unitcell subsection", "3.3. Usage of tenes", "3. Usage", "3.1. Usage of tenes_simple", "3.2. Usage of tenes_std", "Welcome to TeNeS\u2019s documentation!", "2. Install", "4.1. Ising model with transverse magnetic field", "4.2. Real-Time Evolution of the Transverse Field Ising Model", "4.3. Finite Temperature Calculations for the Transverse Field Ising Model", "4.4. Magnetization process of the Heisenberg model on triangular and square lattices", "4.5. Phase diagram of the hardcore boson model on a trianglar lattice", "4.6. Definition of lattices, models, and operators using the standard mode", "4. Tutorial"], "terms": {"overview": [0, 22], "develop": [0, 2, 22], "version": [0, 3, 5, 15, 18, 20, 21, 22, 23, 29], "inform": [0, 9, 13, 16, 17, 21, 22, 24, 27], "licens": [0, 22], "paper": [0, 22], "copyright": [0, 22], "tene": [1, 2, 3, 5, 8, 10, 14, 15, 16, 17, 19, 21, 23, 24, 25, 26, 27, 28, 29], "te": 1, "nsor": 1, "ne": 1, "twork": 1, "": [1, 3, 7, 8, 9, 12, 14, 15, 16, 17, 20, 21, 23, 24, 25, 26, 27, 28, 29], "olver": 1, "i": [1, 3, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29], "an": [1, 3, 5, 7, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 24, 26, 29], "open": [1, 24, 27], "sourc": [1, 9, 12, 13, 16, 23, 29], "program": [1, 18, 19], "packag": [1, 23], "calcul": [1, 3, 6, 7, 8, 9, 10, 12, 14, 15, 16, 19, 21, 22, 24, 25, 27, 28, 29, 30], "two": [1, 3, 9, 12, 13, 15, 16, 17, 24, 28, 29], "dimension": [1, 3], "mani": [1, 3, 7, 9, 15, 16, 18], "bodi": [1, 3, 9, 12, 15, 16], "quantum": [1, 3, 6, 25, 26, 27], "state": [1, 2, 4, 6, 9, 10, 12, 14, 15, 16, 17, 20, 21, 22, 24, 25, 26, 27, 28, 29], "base": [1, 23], "tensor": [1, 4, 8, 10, 11, 14, 15, 20, 21, 22, 23, 24, 25, 29], "network": [1, 4, 22, 25], "method": [1, 3, 6, 7, 9, 14, 15, 16], "thi": [1, 3, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 21, 23, 24, 25, 26, 27, 28, 29], "ground": [1, 3, 6, 9, 10, 14, 15, 16, 24, 25, 26, 27, 28], "wavefunct": [1, 3], "user": [1, 18, 21, 28, 29], "defin": [1, 3, 8, 9, 12, 13, 14, 15, 16, 19, 20, 24, 25, 26, 27, 28, 29], "hamiltonian": [1, 3, 9, 10, 11, 12, 13, 14, 15, 17, 20, 21, 24, 25, 26, 27, 28, 30], "evalu": [1, 29], "physic": [1, 2, 3, 6, 9, 12, 14, 15, 16, 17, 21, 25, 26, 29], "quantiti": [1, 3, 6, 9, 12, 14, 15, 16, 25, 26], "magnet": [1, 3, 15, 22, 25, 26, 29, 30], "correl": [1, 3, 7, 8, 10, 11, 24, 28, 29], "function": [1, 2, 8, 9, 13, 15, 16, 23, 25, 27, 28], "can": [1, 3, 6, 9, 12, 14, 15, 16, 17, 21, 23, 24, 25, 26, 27, 28, 29], "finit": [1, 4, 9, 10, 14, 15, 16, 22, 28, 30], "temperatur": [1, 4, 9, 10, 14, 15, 16, 22, 28, 30], "real": [1, 4, 9, 12, 13, 14, 15, 16, 17, 20, 21, 22, 24, 26, 29, 30], "time": [1, 4, 6, 9, 10, 12, 14, 15, 16, 17, 20, 21, 22, 23, 24, 26, 27, 28, 30], "evolut": [1, 4, 10, 11, 14, 15, 16, 17, 21, 22, 30], "well": [1, 3], "For": [1, 3, 8, 9, 10, 11, 12, 14, 15, 16, 17, 19, 23, 24, 25, 26, 27, 28, 29], "predefin": [1, 19, 20, 21], "model": [1, 3, 9, 10, 11, 12, 16, 19, 20, 21, 22, 30], "lattic": [1, 3, 6, 8, 9, 10, 11, 12, 13, 16, 17, 19, 20, 21, 22, 24, 25, 26, 30], "tool": [1, 11, 19, 20, 21, 23, 25, 26], "make": [1, 3, 5, 19, 21, 23, 27], "easi": 1, "gener": [1, 2, 3, 7, 11, 13, 19, 20, 21, 23, 24, 25, 26, 27, 29], "input": [1, 3, 5, 10, 13, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29], "file": [1, 3, 5, 14, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29], "us": [1, 3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 19, 20, 22, 24, 25, 26, 27, 28, 30], "openmp": 1, "mpi": [1, 9, 14, 15, 16], "hybrid": 1, "parallel": [1, 24], "oper": [1, 3, 8, 9, 12, 13, 14, 15, 16, 19, 21, 22, 23, 24, 25, 26, 28, 30], "librari": [1, 23], "thu": [1, 3, 26], "deal": [1, 11], "larg": [1, 3, 27], "scale": [1, 3], "massiv": 1, "machin": [1, 23], "follow": [1, 3, 5, 8, 9, 11, 12, 13, 14, 15, 16, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29], "member": 1, "tsuyoshi": 1, "okubo": 1, "graduat": 1, "school": 1, "scienc": [1, 2], "univ": 1, "tokyo": [1, 2, 5], "satoshi": 1, "morita": [1, 9, 14, 15, 16], "faculti": 1, "technologi": 1, "keio": 1, "univers": [1, 2], "yuichi": 1, "motoyama": 1, "institut": [1, 2], "solid": [1, 2, 28], "kazuyoshi": 1, "yoshimi": 1, "takeo": 1, "kato": 1, "naoki": 1, "kawashima": [1, 9, 14, 15, 16], "ver": 1, "2": [1, 3, 8, 9, 12, 13, 14, 15, 16, 17, 20, 21, 24, 25, 26, 27, 28, 29], "1": [1, 3, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21, 24, 25, 26, 27, 28, 29], "0": [1, 3, 8, 9, 12, 13, 14, 15, 16, 17, 20, 21, 23, 24, 25, 26, 27, 28, 29], "releas": 1, "2024": 1, "02": [1, 13], "28": [1, 13], "2023": [1, 13], "11": [1, 9, 13, 14, 15, 16, 23], "17": [1, 13], "beta": [1, 3, 9, 13, 14, 15, 16], "10": [1, 3, 7, 9, 13, 14, 15, 16, 24, 25, 26, 27, 29], "25": [1, 9, 12, 13, 16, 21, 25, 27, 29], "3": [1, 3, 9, 12, 13, 15, 16, 17, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29], "4": [1, 3, 7, 9, 12, 13, 14, 15, 16, 24, 25, 26, 27, 28, 29], "09": [1, 13], "13": [1, 24], "07": [1, 13], "14": [1, 13], "06": [1, 13, 25], "08": 1, "2022": 1, "21": [1, 13, 25, 27], "20": [1, 7, 9, 13, 15, 16, 24], "2021": 1, "12": [1, 3, 9, 13, 14, 15, 16], "2020": 1, "04": [1, 13, 29], "03": [1, 13], "30": [1, 15, 24], "2019": [1, 3], "distribut": 1, "under": [1, 3], "gnu": [1, 23], "public": [1, 5], "gpl": 1, "v3": 1, "later": [1, 3], "when": [1, 3, 5, 6, 9, 12, 13, 14, 15, 16, 17, 21, 24, 25, 27, 29], "you": [1, 5, 6, 8, 9, 15, 16, 17, 19, 23, 26, 27], "publish": 1, "result": [1, 3, 6, 9, 12, 14, 15, 16, 24, 25, 26, 27, 28, 29], "we": [1, 2, 3, 9, 12, 16, 25, 26, 27, 28, 29], "would": [1, 2, 3], "appreci": 1, "cite": 1, "y": [1, 8, 9, 13, 15, 16, 17, 20, 21, 24, 27, 28, 29], "solver": 1, "system": [1, 3, 8, 9, 16, 17, 20, 23, 28], "comput": [1, 2, 3, 6, 9, 14, 15, 16, 25, 26, 28, 29], "phy": [1, 3, 9, 14, 15, 16, 25, 28], "commun": 1, "279": 1, "108437": 1, "The": [1, 2, 3, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 23, 24, 25, 26, 27, 28, 29], "all": [1, 5, 9, 10, 12, 14, 15, 16, 17, 26, 28, 29], "right": [1, 3, 8, 9, 12, 13, 15, 16, 17, 21, 27, 29], "reserv": 1, "softwar": [1, 2], "wa": [1, 2, 24], "support": [1, 2, 3], "project": [1, 2, 3], "advanc": [1, 2, 27], "usabl": [1, 2], "materi": [1, 2], "mext": 2, "exploratori": 2, "challeng": 2, "post": 2, "k": [2, 3, 9, 16, 17, 29], "frontier": 2, "basic": [2, 25, 26, 27, 28], "limit": [2, 3, 9, 14, 15, 16, 21, 24], "prioriti": 2, "issu": [2, 3, 5, 6, 25], "creation": [2, 15], "new": [2, 3], "devic": 2, "high": [2, 27], "perform": [2, 6, 11, 26, 27, 28], "next": [2, 3, 9, 11, 12, 15, 16, 24, 25, 27], "industri": 2, "also": [2, 3, 6, 15, 23, 25, 26, 27, 28, 29], "like": [2, 3, 9, 15, 20, 25, 26, 27, 28], "express": [2, 3, 9, 12, 16, 25], "our": [2, 25], "thank": [2, 5], "tn": [3, 8, 9, 16], "ar": [3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 23, 24, 25, 26, 27, 28, 29], "variat": 3, "repres": [3, 9, 12, 15, 16, 17, 25, 26, 27, 29], "product": [3, 9, 12, 16, 17, 29], "small": [3, 6, 13, 27, 28], "exampl": [3, 11, 13, 17, 23, 24, 25, 26, 27, 30], "case": [3, 6, 7, 9, 12, 15, 16, 17, 18, 21, 23, 24, 25, 29], "spin": [3, 6, 9, 12, 16, 20, 24, 25, 26, 27, 29], "n": [3, 9, 12, 13, 14, 15, 16, 17, 27, 28], "site": [3, 8, 9, 12, 13, 15, 16, 17, 20, 21, 24, 27, 28], "basi": [3, 9, 12, 16], "psi": [3, 9, 13, 16, 17, 29], "rangl": [3, 8, 9, 12, 13, 15, 16, 17, 24, 25, 26, 27, 28], "sum_": [3, 9, 15, 16, 17, 24, 25, 26, 27, 28, 29], "s_i": [3, 9, 12, 16, 24, 25, 26, 27, 29], "pm": 3, "uparrow": [3, 9, 12, 16, 17, 27], "downarrow": [3, 9, 12, 16, 17, 27], "psi_": 3, "s_1": 3, "s_2": 3, "dot": [3, 8, 9, 16], "s_n": 3, "In": [3, 7, 8, 9, 12, 13, 15, 16, 18, 19, 20, 21, 23, 24, 25, 26, 27, 29], "e": [3, 5, 9, 14, 15, 16, 24, 27, 28, 29], "g": [3, 5, 24, 27], "mathrm": [3, 13], "ttr": 3, "left": [3, 8, 9, 12, 13, 15, 16, 17, 21, 27], "t": [3, 9, 13, 14, 15, 16, 25, 28], "cdot": [3, 15, 28, 29], "where": [3, 7, 9, 12, 13, 15, 16, 17, 27, 28, 29], "matrix": [3, 7, 9, 12, 13, 14, 15, 16, 24, 29], "mp": 3, "becom": [3, 6, 9, 14, 15, 16, 25], "given": [3, 9, 12, 16, 17, 21, 25, 28], "usual": 3, "assum": [3, 27], "shape": [3, 6, 9, 16, 17], "neq": 3, "d_1": 3, "d_": 3, "respect": [3, 9, 11, 12, 15, 16, 20, 27], "order": [3, 9, 15, 16, 17, 19, 25, 27, 28], "approxim": [3, 7, 9, 15, 16], "accuraci": [3, 6, 27], "determin": [3, 6, 15, 28], "d_i": 3, "call": [3, 24, 27], "bond": [3, 6, 9, 12, 13, 14, 15, 16, 17, 20, 21, 24, 27, 28], "dimens": [3, 6, 7, 9, 12, 13, 14, 15, 16, 17, 20, 21, 24, 25, 26, 27, 28, 29], "By": [3, 9, 12, 15, 16, 17, 21, 23, 24, 28, 29], "diagram": [3, 22, 30], "size": [3, 6, 7, 9, 12, 15, 16, 17, 20, 21, 24, 25, 26, 27], "similarli": [3, 9, 12, 16], "consid": [3, 6, 9, 14, 15, 16, 28, 29], "infinit": 3, "long": [3, 28], "especi": [3, 29], "translat": 3, "symmetri": [3, 26], "certain": [3, 25], "period": [3, 27], "construct": 3, "imp": 3, "few": [3, 24, 27], "independ": [3, 9, 16, 17, 29], "look": [3, 27], "same": [3, 6, 9, 12, 13, 15, 16, 17, 20, 21, 25, 26, 27, 28], "color": 3, "indic": [3, 8, 9, 12, 16, 17, 25, 26, 28, 29], "ident": 3, "itn": [3, 24], "which": [3, 9, 12, 13, 16, 17, 19, 23, 25, 28, 29], "natur": 3, "extens": 3, "higher": 3, "squar": [3, 6, 8, 9, 12, 16, 20, 21, 22, 24, 25, 26, 28, 29, 30], "whose": [3, 29], "shown": [3, 9, 12, 15, 16, 19, 20, 21, 26, 27, 28], "try": [3, 24], "find": [3, 27, 28], "notic": 3, "other": [3, 5, 6, 9, 12, 13, 15, 16, 17, 19, 21, 23, 28, 29], "than": [3, 6, 7, 9, 14, 15, 16, 19, 21], "honeycomb": [3, 20], "triangular": [3, 20, 22, 28, 30], "proper": 3, "map": 3, "expect": [3, 9, 13, 14, 15, 16, 24, 25, 29], "valu": [3, 6, 9, 13, 14, 15, 16, 17, 21, 23, 24, 25, 29], "over": [3, 6, 15, 25, 29], "langl": [3, 8, 9, 12, 13, 15, 16, 24, 25, 26, 27, 28], "o": [3, 5, 24, 27], "need": [3, 9, 12, 16, 19], "correspond": [3, 9, 15, 29], "often": 3, "doubl": [3, 15], "layer": 3, "huge": 3, "cost": [3, 6, 28], "fortun": 3, "effici": [3, 6], "transfer": [3, 7, 9, 13, 14, 15, 16, 24], "consist": [3, 9, 12, 13, 15, 16, 17, 28], "local": [3, 15, 16, 23, 29], "howev": [3, 6], "tp": [3, 15], "exact": [3, 6], "imposs": 3, "except": [3, 24, 27], "cylind": 3, "among": 3, "sever": [3, 6, 25, 28], "corner": [3, 9, 14, 15, 16, 24], "renorm": 3, "group": [3, 9, 12, 14, 15, 16, 21, 29], "ctmrg": [3, 24], "extend": [3, 15], "matric": [3, 7, 9, 14, 15, 16], "edg": 3, "simplifi": 3, "represent": 3, "A": [3, 8, 9, 12, 13, 15, 16, 17, 19, 25, 29], "chi": [3, 9, 14, 15, 16], "thick": 3, "line": [3, 9, 12, 15, 16, 17, 18, 20, 21, 24, 27, 28, 29], "iter": [3, 7, 9, 14, 15, 16, 24], "optimis": 3, "absorb": [3, 20], "until": 3, "thei": [3, 9, 12, 15, 16], "converg": [3, 7, 9, 14, 15, 16, 27], "procedur": [3, 9, 14, 15, 16], "so": [3, 6, 9, 23, 28], "move": [3, 9, 15, 16, 17], "describ": [3, 7, 9, 15, 16, 19, 25, 28], "projector": [3, 9, 14, 15, 16], "abov": [3, 9, 12, 16, 25], "wai": [3, 6, 9, 12, 16, 23, 26, 27, 29], "reduc": [3, 23, 27], "degre": [3, 15], "freedom": 3, "d": [3, 9, 15, 16, 17, 26, 29], "ctm": [3, 6, 13, 20, 21, 24, 25, 26, 27, 29], "lead": 3, "6": [3, 9, 13, 14, 15, 16, 23, 25, 26, 27, 29], "typic": [3, 6, 13], "increas": [3, 6, 9, 14, 15, 16, 24, 25, 27, 28], "propto": [3, 29], "setup": 3, "while": [3, 24, 25], "memori": 3, "usag": [3, 22], "8": [3, 13, 25, 26], "achiev": [3, 25], "discuss": 3, "partial": 3, "singular": [3, 9, 14, 15, 16], "decomposit": 3, "svd": [3, 9, 14, 15, 16], "truncat": [3, 9, 14, 15, 16], "techniqu": 3, "full": [3, 6, 9, 13, 14, 15, 16, 24], "instead": [3, 9, 13, 14, 15, 16], "onc": [3, 9, 15, 16, 17, 25, 26], "obtain": [3, 5, 6, 9, 14, 15, 16, 24, 26, 27, 28, 29], "z_i": [3, 9, 12, 15, 16, 29], "nearest": [3, 9, 15, 20, 24, 27, 28, 29], "neighbor": [3, 8, 9, 15, 16, 20, 27, 28, 29], "z_": 3, "second": [3, 9, 13, 15, 16, 17, 20, 21, 24, 25, 26], "ani": [3, 5, 18], "although": [3, 6, 29], "larger": [3, 27, 28], "cluster": 3, "give": [3, 9, 16, 17], "u": [3, 5, 9, 14, 15, 16, 28, 29], "minimum": [3, 6], "energi": [3, 6, 9, 12, 13, 16, 24, 25, 26, 27, 28, 29], "frac": [3, 9, 12, 15, 16, 27], "mathcal": [3, 9, 12, 15, 16, 21, 29], "h": [3, 6, 9, 12, 14, 15, 16, 21, 24, 25, 26, 27, 28, 29], "target": [3, 9, 12, 13, 16, 29], "type": [3, 7, 8, 9, 12, 14, 15, 16, 17, 20, 21, 23, 24, 25, 26, 27, 28, 29], "popular": 3, "imaginari": [3, 9, 12, 13, 14, 15, 16, 20, 21, 24, 27, 29], "ITE": 3, "within": [3, 9, 12, 16, 27, 28], "ansatz": 3, "simeq": 3, "psi_0": 3, "arbitrari": 3, "initi": [3, 6, 7, 9, 14, 15, 16, 17, 20, 21, 24, 25, 26, 27, 29], "If": [3, 5, 7, 8, 9, 12, 13, 14, 15, 16, 17, 20, 23, 25], "suffici": [3, 27], "hand": [3, 28], "side": 3, "good": [3, 6, 27], "sum": [3, 16, 29], "short": [3, 10, 15, 22], "rang": [3, 9, 12, 15, 16, 24, 28], "interact": [3, 9, 12, 15, 16, 20, 28], "j": [3, 9, 15, 16, 17, 20, 23, 24, 25, 26, 27, 28, 29], "h_": 3, "ij": [3, 9, 12, 15, 16, 21, 28, 29], "appli": [3, 25, 27], "suzuki": 3, "trotter": 3, "step": [3, 9, 14, 15, 16, 20, 21, 24, 25, 26, 27], "tau": [3, 9, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "prod_": 3, "form": [3, 15, 27], "n_": [3, 15, 28], "number": [3, 6, 7, 9, 12, 13, 14, 15, 16, 17, 18, 20, 21, 24, 27, 28, 29], "ITEs": 3, "equat": 3, "divid": 3, "subset": 3, "each": [3, 8, 9, 11, 12, 13, 14, 15, 16, 17, 19, 24, 25, 26, 27, 28, 29], "satisfi": 3, "properti": 3, "commut": 3, "have": [3, 5, 6, 9, 15, 16, 17, 18, 23, 26], "one": [3, 5, 8, 9, 12, 14, 15, 16, 17, 21, 24, 25, 28, 29], "Then": [3, 24, 27, 28], "after": [3, 9, 12, 14, 15, 16, 24, 27, 28, 29], "multipl": [3, 6, 9, 12, 16, 17, 21], "_n": 3, "mean": [3, 9, 12, 13, 14, 15, 16, 17, 25, 26, 29], "th": [3, 13], "continu": [3, 24, 26], "stabli": 3, "constant": [3, 15], "naiv": 3, "done": [3, 6, 23, 24, 25], "solv": 3, "minim": 3, "problem": [3, 5], "min": 3, "vert": 3, "practic": [3, 25], "becaus": [3, 9, 12, 14, 15, 16, 28, 29], "highli": 3, "nonlinear": 3, "due": 3, "altern": 3, "onli": [3, 9, 13, 14, 15, 16, 17, 26, 27, 28, 29], "modifi": [3, 24], "from": [3, 6, 7, 9, 12, 13, 14, 15, 16, 17, 19, 21, 23, 24, 26, 27, 28, 29], "origin": [3, 7, 9, 13, 15, 16], "written": [3, 11, 13, 29], "chain": 3, "norm": [3, 13], "easili": [3, 6, 23], "break": 3, "translation": 3, "symmetr": 3, "copi": [3, 11, 15, 29], "updat": [3, 6, 9, 13, 14, 15, 16, 24, 27], "part": [3, 9, 12, 13, 16, 21, 28, 29], "solut": 3, "approach": [3, 6, 9, 14, 15, 16], "come": 3, "depend": [3, 13, 15, 23, 24, 26, 27, 28], "simpl": [3, 6, 9, 13, 14, 15, 16, 20, 24, 25, 26, 27], "cheaper": 3, "avoid": 3, "expens": [3, 6, 28], "environ": [3, 9, 14, 15, 16, 23, 24], "treat": [3, 29], "whole": [3, 16], "simpleupd": 3, "lambda_i": [3, 13], "non": [3, 9, 12, 16, 29], "neg": 3, "diagon": [3, 6, 7, 9, 12, 15, 16], "field": [3, 9, 14, 15, 16, 22, 27, 30], "neglect": 3, "beyond": [3, 25, 29], "definit": [3, 8, 9, 15, 16, 22, 30], "view": 3, "low": [3, 6, 28], "rank": [3, 9, 14, 15, 16], "lambda": 3, "5": [3, 8, 9, 12, 13, 15, 16, 21, 24, 25, 26, 27, 28, 29], "qr": 3, "befor": [3, 6, 9, 12, 14, 15, 16, 24, 29], "much": 3, "known": [3, 28], "show": [3, 5, 9, 12, 13, 15, 16, 18, 20, 21, 28, 29], "strong": 3, "tend": 3, "overestim": 3, "complic": 3, "carefulli": 3, "check": [3, 6, 27], "allow": 3, "differ": [3, 9, 12, 13, 16, 25, 26, 28], "between": [3, 9, 12, 16], "li": 3, "whether": [3, 6, 7, 9, 14, 15, 16, 27], "coeffici": [3, 9, 12, 16, 17, 29], "expon": 3, "henc": [3, 28], "emploi": 3, "significantli": 3, "main": [3, 18, 19], "aspect": 3, "One": [3, 6, 9, 12, 15, 16, 28, 29], "major": 3, "entangl": [3, 25], "progress": [3, 25], "toward": 3, "doe": [3, 6, 9, 15, 16, 17, 23, 27], "excess": 3, "descript": [3, 7, 8, 9, 12, 14, 15, 16, 17], "work": [3, 6, 23, 28], "unless": 3, "eigenst": 3, "To": [3, 6, 15, 26, 27, 28, 29], "maintain": 3, "necessari": [3, 6, 7, 9, 15, 16, 25, 27], "get": [3, 6, 28], "longer": [3, 6], "realist": 3, "resourc": [3, 6], "accur": [3, 28], "applic": 3, "around": 3, "strength": [3, 25, 28], "anoth": [3, 6, 19, 29], "characterist": 3, "phenomenon": 3, "reproduc": 3, "reach": 3, "minor": 3, "deviat": 3, "correct": [3, 6], "path": [3, 23, 24, 25, 26, 27, 28], "signific": 3, "On": [3, 15, 23, 27, 28], "interest": 3, "final": [3, 9, 12, 16, 19, 21, 24, 28, 29], "itself": [3, 9, 16, 17, 24], "increment": [3, 24], "delta": 3, "situat": 3, "mai": [3, 6, 13, 23, 25], "more": [3, 9, 12, 13, 15, 16, 17, 28], "possibl": [3, 9, 12, 16, 29], "handl": 3, "edit": [3, 18, 21], "section": [3, 7, 8, 10, 11, 12, 13, 14, 17, 19, 21, 24, 26, 27, 28, 29], "ultim": 3, "enter": [3, 25], "far": 3, "pure": 3, "mix": 3, "rho": [3, 9, 14, 15, 16], "tr": 3, "invers": [3, 9, 13, 14, 15, 16, 26], "_": [3, 9, 12, 15, 16, 21, 27, 29], "expans": [3, 9, 16, 17], "mpo": 3, "drawn": 3, "just": [3, 6, 9, 29], "impo": 3, "repeat": 3, "As": [3, 9, 12, 15, 16, 24, 25, 27, 29], "iipo": 3, "tpo": 3, "specif": [3, 9, 12, 16, 23, 25, 26], "itpo": 3, "note": [3, 9, 14, 15, 16, 24, 25, 26, 28, 29], "densiti": [3, 24, 27, 28], "almost": [3, 6, 27, 28], "directli": [3, 18, 26], "current": [3, 9, 14, 15, 16, 20, 29], "rho_": 3, "clariti": 3, "biggest": 3, "appear": [3, 9, 14, 15, 16, 27, 28], "rangle_": 3, "trace": 3, "connect": [3, 9, 12, 16], "upper": [3, 15], "lower": [3, 6], "leg": [3, 9], "denomin": 3, "structur": [3, 15, 27, 28], "smaller": 3, "compar": [3, 6], "black": 3, "circl": [3, 15], "being": 3, "correspondingli": 3, "proportion": 3, "condit": [3, 9, 15, 16, 17, 21, 24, 25], "requir": [3, 6, 23, 28, 29], "amount": [3, 15, 27], "It": [3, 6, 9, 12, 16, 23, 27, 28], "contain": [3, 27], "z": [3, 8, 9, 12, 15, 16, 24, 25, 26, 27, 29], "lastli": 3, "import": [3, 6, 24, 27], "mention": 3, "drawback": 3, "hermitian": 3, "posit": [3, 8, 9, 15, 16], "semidefinit": 3, "eigenvalu": [3, 7, 9, 13, 15, 16], "guarante": [3, 6], "might": [3, 25], "exhibit": 3, "unphys": 3, "behavior": [3, 26], "cannot": [3, 20, 21], "improv": [3, 6], "recov": 3, "ha": [3, 9, 11, 12, 14, 15, 16, 17, 26, 27, 28], "been": [3, 26, 27], "propos": 3, "purif": 3, "purifi": 3, "similar": [3, 16, 27, 29], "structr": 3, "manag": 3, "direct": [3, 8, 9, 12, 13, 15, 16, 17, 27, 28, 29], "refer": [3, 9, 14, 15, 16, 25, 28], "r": [3, 8, 9, 14, 15, 16], "or\u00fa": 3, "introduct": 3, "pair": [3, 9, 12, 16, 27, 28, 29], "annal": 3, "349": 3, "117": 3, "2014": 3, "link": [3, 25, 28], "complex": [3, 6, 9, 14, 15, 16, 24], "review": 3, "538": 3, "schollwc\u00f6k": 3, "ag": 3, "326": 3, "96": 3, "2011": 3, "nishino": 3, "okunishi": 3, "soc": 3, "jpn": 3, "65": 3, "891": 3, "1996": 3, "vidal": 3, "revisit": 3, "rev": [3, 9, 14, 15, 16, 25, 28], "b": [3, 8, 9, 15, 16, 26, 28, 29], "80": [3, 24], "094403": 3, "2009": 3, "p": 3, "corboz": 3, "et": 3, "al": 3, "compet": 3, "uniform": [3, 9, 16, 17], "wave": [3, 13, 15, 25, 27, 28], "versu": 3, "stripe": 3, "lett": [3, 25, 28], "113": 3, "046402": 3, "jordan": 3, "classic": 3, "spatial": 3, "101": 3, "250602": 3, "2008": 3, "jiang": 3, "090603": 3, "l": [3, 9, 15, 16, 17, 20, 24, 25, 26, 27], "wang": 3, "mont": [3, 26], "carlo": [3, 26], "83": 3, "134421": 3, "kshetrimayum": 3, "m": [3, 25, 28], "rizzi": 3, "eisert": 3, "anneal": 3, "thermal": 3, "122": 3, "070502": 3, "czarnik": 3, "dziarmaga": 3, "99": 3, "035115": 3, "first": [3, 6, 7, 9, 12, 13, 15, 16, 17, 20, 21, 24, 25, 26, 27, 29], "principl": [3, 27], "98": 3, "045110": 3, "2018": [3, 9, 13, 14, 15, 16], "algorithm": [4, 22], "contract": [4, 22, 24], "itp": [4, 22, 28], "optim": [4, 9, 14, 15, 16, 22], "simul": [4, 6, 11, 19, 21, 22], "report": 5, "bug": 5, "pleas": [5, 9, 14, 15, 16, 19, 23, 24, 25, 26], "github": [5, 23], "page": [5, 22, 23], "guidelin": 5, "specifi": [5, 8, 9, 12, 14, 15, 16, 17, 19, 20, 21, 27, 28, 29], "compil": 5, "instal": [5, 22, 24], "includ": 5, "output": [5, 9, 10, 11, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 29], "cmake": [5, 23], "cmakecach": 5, "txt": 5, "occur": [5, 15, 27], "dure": [5, 6], "execut": [5, 19, 23, 24, 25, 26, 27, 28], "your": [5, 23, 26], "cooper": 5, "question": 5, "about": [5, 8, 9, 16, 26], "topic": 5, "relat": [5, 9, 12, 16], "research": 5, "difficult": [5, 6, 26, 28], "consult": 5, "send": 5, "mail": 5, "address": 5, "dev__at__issp": 5, "ac": 5, "jp": 5, "replac": [5, 9, 13, 14, 15, 16], "__at__": 5, "q1": 6, "how": [6, 7, 9, 11, 12, 15, 16, 19, 29], "set": [6, 9, 12, 14, 15, 16, 17, 24, 25, 26, 27, 28, 29], "a1": [6, 29], "its": [6, 28], "should": [6, 19, 26, 27, 28, 29], "balanc": 6, "see": [6, 9, 13, 14, 15, 16, 18, 19, 20, 21, 23, 24, 27, 28], "what": [6, 22, 27], "happen": [6, 27], "do": [6, 18, 27], "liquid": 6, "must": [6, 9, 12, 16, 23], "begin": [6, 9, 12, 16, 24, 25, 26, 27, 28, 29], "q2": 6, "a2": 6, "bring": 6, "closer": 6, "necessarili": 6, "deterior": 6, "plot": [6, 25, 26, 27, 28], "against": 6, "idea": 6, "adopt": [6, 9, 14, 15, 16], "strategi": 6, "q3": 6, "a3": 6, "desir": 6, "chang": [6, 9, 14, 15, 16, 24, 27], "paramet": [6, 8, 10, 11, 20, 21, 24, 25, 26, 27, 28, 29], "togeth": 6, "assign": 6, "virtual_dim": [6, 9, 15, 16, 17, 20, 21, 24, 25, 26, 27, 29], "latter": [6, 9, 12, 16, 21, 27], "take": [6, 18, 20, 21], "greater": 6, "equal": [6, 7, 9, 12, 15, 16, 25], "former": [6, 21], "q4": 6, "test": [6, 23], "a4": 6, "easiest": 6, "seed": [6, 9, 13, 14, 15, 16], "configur": 6, "guess": 6, "candid": 6, "though": 6, "unit": [6, 9, 15, 16, 17, 24, 27, 30], "cell": [6, 9, 15, 16, 17, 24, 27, 30], "recommend": [6, 23], "phi": [6, 15], "length": [7, 9, 12, 13, 15, 16, 24], "xi": [7, 9, 13, 15, 16], "name": [7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 20, 21, 24, 25, 26, 27, 28, 29], "default": [7, 9, 14, 15, 16, 17, 20, 21, 23], "measur": [7, 8, 9, 12, 13, 14, 15, 16], "bool": [7, 9, 15, 16], "true": [7, 9, 13, 14, 15, 16, 20, 21, 24, 25, 27, 29], "num_eigv": [7, 9, 15, 16], "integ": [7, 8, 9, 12, 14, 15, 16, 17, 29], "maxdim_dense_eigensolv": [7, 9, 15, 16], "maximum": [7, 8, 9, 14, 15, 16, 24, 28], "dens": [7, 9, 15, 16], "200": [7, 9, 15, 16, 24, 26, 27], "arnoldi_maxdim": [7, 9, 15, 16], "hessenberg": [7, 9, 15, 16], "arnoldi": [7, 9, 15, 16], "50": [7, 9, 13, 15, 16, 24, 26], "arnoldi_restartdim": [7, 9, 15, 16], "vector": [7, 9, 15, 16, 28], "restart": [7, 9, 15, 16], "process": [7, 9, 12, 14, 15, 16, 22, 23, 24, 30], "ira": [7, 9, 15, 16], "arnoldi_maxiter": [7, 9, 15, 16], "arnoldi_rtol": [7, 9, 15, 16], "rel": [7, 9, 13, 15, 16], "toler": [7, 9, 15, 16], "float": [7, 9, 12, 15, 16, 24, 27], "1e": [7, 9, 13, 14, 15, 16], "domin": [7, 9, 15, 16], "less": [7, 9, 14, 15, 16], "eigensolv": [7, 9, 15, 16], "lapack": [7, 9, 15, 16, 23], "geev": [7, 9, 15, 16], "routin": [7, 9, 15, 16], "implicit": [7, 9, 15, 16], "Its": [7, 9, 15, 16], "newli": [7, 9, 15, 16], "c": [8, 9, 13, 15, 16, 23, 26, 28], "boldsymbol": [8, 9, 16, 28], "_0": [8, 9, 16], "omit": [8, 9, 12, 15, 16], "coordin": [8, 9, 12, 13, 15, 16, 20, 29], "top": [8, 9, 15, 16, 17, 29], "along": [8, 9, 15, 16, 28], "x": [8, 9, 13, 15, 16, 17, 20, 21, 24, 25, 26, 27, 28, 29], "axi": [8, 9, 16, 25, 26, 28], "r_": [8, 9, 16], "text": [8, 9, 15, 16, 28], "max": [8, 9, 15, 16], "unitcel": [8, 20, 21, 28, 29], "center": [8, 9, 16, 23], "r_max": [8, 9, 16], "distanc": [8, 9, 16], "list": [8, 9, 12, 14, 15, 16, 17, 29], "observ": [8, 10, 11, 13, 14, 15, 21, 24, 25, 26, 28, 29], "onesit": [8, 21, 24, 29], "0th": [8, 9, 15, 16], "1st": [8, 9, 15, 16], "le": [8, 9, 12, 16], "format": [9, 11, 13, 15, 16, 19, 22], "toml": [9, 11, 15, 16, 18, 20, 21, 23, 24, 25, 26, 27, 28, 29], "five": [9, 13, 14, 15, 16], "variou": [9, 12, 14, 15, 16], "mode": [9, 10, 14, 15, 16, 22, 25, 26, 30], "string": [9, 12, 14, 15, 16, 29], "is_real": [9, 13, 14, 15, 16, 20, 21, 24, 26, 27, 29], "ones": [9, 11, 14, 15, 16, 19, 21, 24], "boolean": [9, 14, 15, 16], "fals": [9, 13, 14, 15, 16, 24, 26], "iszero_tol": [9, 13, 14, 15, 16], "absolut": [9, 13, 14, 15, 16], "cutoff": [9, 14, 15, 16], "read": [9, 11, 14, 15, 16, 24], "save": [9, 14, 15, 16, 24, 25, 29], "measure_interv": [9, 14, 15, 16, 26], "interv": [9, 14, 15, 16, 27], "directori": [9, 14, 15, 16, 23, 24, 25, 26, 27, 29], "tensor_sav": [9, 14, 15, 16, 25, 27, 29], "tensor_load": [9, 14, 15, 16, 25, 27, 29], "load": [9, 14, 15, 16, 24, 25, 27, 28], "search": [9, 14, 15, 16, 22], "tenes_std": [9, 10, 11, 14, 15, 17, 19, 20, 22, 23, 24, 25, 26, 27, 29], "element": [9, 12, 14, 15, 16, 17, 21, 24, 29], "least": [9, 14, 15, 16], "end": [9, 12, 14, 15, 16, 23, 24, 25, 26, 27, 28, 29], "error": [9, 12, 14, 15, 16, 17, 21, 23], "start": [9, 13, 14, 15, 16, 17, 23, 24, 25, 27, 28], "regard": [9, 14, 15, 16], "zero": [9, 12, 14, 15, 16, 17, 26, 28, 29], "meaur": [9, 14, 15, 16], "stage": [9, 14, 15, 16], "skip": [9, 13, 14, 15, 16, 29], "elaps": [9, 14, 15, 16, 24], "dat": [9, 14, 15, 16, 20, 24, 25, 26, 27, 29], "alwai": [9, 14, 15, 16], "quantitit": [9, 14, 15, 16], "numer": [9, 14, 15, 16, 26], "empti": [9, 12, 13, 14, 15, 16, 17, 29], "01": [9, 13, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "num_step": [9, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "lambda_cutoff": [9, 14, 15, 16], "gauge_fix": [9, 14, 15, 16], "gaug": [9, 14, 15, 16], "fix": [9, 14, 15, 16, 23], "gauge_maxit": [9, 14, 15, 16], "100": [9, 13, 14, 15, 16, 24, 27], "gauge_converge_epsilon": [9, 14, 15, 16], "criteria": [9, 14, 15, 16], "bar": [9, 14, 15, 16], "env_cutoff": [9, 14, 15, 16], "through": [9, 14, 15, 16, 23, 27], "inverse_precis": [9, 14, 15, 16], "pseudoinvers": [9, 14, 15, 16], "convergence_epsilon": [9, 14, 15, 16], "iteration_max": [9, 14, 15, 16, 24, 25, 26, 27, 29], "fastfullupd": [9, 14, 15, 16], "fast": [9, 14, 15, 16], "projector_cutoff": [9, 14, 15, 16], "projector_corn": [9, 14, 15, 16], "use_rsvd": [9, 13, 14, 15, 16], "rsvd_oversampling_factor": [9, 13, 14, 15, 16], "ratio": [9, 14, 15, 16], "oversampl": [9, 14, 15, 16], "meanfield_env": [9, 13, 14, 15, 16, 24, 25], "renom": [9, 14, 15, 16], "igarashi": [9, 14, 15, 16], "zhao": [9, 14, 15, 16], "97": [9, 14, 15, 16], "033310": [9, 14, 15, 16], "pseudo": [9, 14, 15, 16], "own": [9, 14, 15, 16, 29], "plu": [9, 14, 15, 16], "id": [9, 13, 14, 15, 16, 25, 26], "No": [9, 14, 15, 16], "9": [9, 13, 14, 15, 16, 20, 21, 25], "rectangular": [9, 16, 17], "lx": [9, 16, 17], "ly": [9, 16, 17], "arrai": [9, 12, 16, 17], "l_sub": [9, 16, 17, 21, 29], "skew": [9, 13, 15, 16, 17, 21, 29], "shift": [9, 16, 17], "boundari": [9, 15, 16, 17, 21, 29], "pass": [9, 15, 16, 17, 23, 27], "three": [9, 12, 15, 16, 17, 27, 28, 29], "caus": [9, 13, 16, 17], "both": [9, 12, 16, 17], "index": [9, 12, 13, 16, 17, 20, 21, 22, 29], "These": [9, 16, 17, 28, 29], "arrang": [9, 15, 16, 17], "rule": [9, 16, 17], "separ": [9, 12, 16, 17], "t_": [9, 15, 16, 17], "ijkl": [9, 16, 17], "alpha": [9, 13, 15, 16, 17, 27], "here": [9, 12, 16, 17, 25, 26, 27, 28], "virtual": [9, 16, 17, 21], "physical_dim": [9, 16, 17, 21, 29], "initial_st": [9, 16, 17, 21, 29], "nois": [9, 15, 16, 17, 21, 29], "individu": [9, 16, 17], "four": [9, 12, 13, 15, 16, 17], "bottom": [9, 16, 17], "psi_i": [9, 16, 17, 29], "otimes_i": [9, 16, 17, 29], "a_": [9, 16, 17, 29], "rangle_i": [9, 16, 17], "realiz": [9, 16, 17], "some": [9, 11, 16, 17, 23, 27], "automat": [9, 15, 16, 17, 23], "normal": [9, 16, 17], "0000": [9, 16, 17], "want": [9, 16, 17, 23, 29], "sqrt": [9, 15, 16, 17, 28], "initil_st": [9, 16, 17], "identif": [9, 12, 16, 29], "dim": [9, 12, 16, 21, 29], "coeff": [9, 12, 16], "coeff_im": [9, 12, 16], "operat": [9, 12, 16], "act": [9, 12, 16, 21, 29], "point": [9, 12, 15, 16, 25], "space": [9, 12, 16], "cc": [9, 12, 16], "explain": [9, 12, 16, 29], "sz": [9, 12, 13, 16, 21, 24, 25, 26, 27, 29], "otherwis": [9, 12, 13, 16], "label": [9, 12, 16], "op": [9, 12, 16, 21, 29], "last": [9, 12, 13, 16, 28], "dx": [9, 12, 13, 16], "dy": [9, 12, 13, 16], "word": [9, 12, 16, 24], "statu": [9, 12, 16, 24], "z_j": [9, 12, 15, 16, 29], "heisenberg": [9, 12, 16, 20, 21, 22, 28, 30], "lsub": [9, 12, 13, 16], "s_j": [9, 12, 16, 29], "below": [9, 12, 16, 20, 21, 25, 26], "superposit": [9, 12, 16], "let": [9, 12, 16, 27, 28, 29], "indeci": [9, 12, 16], "bond_22": [9, 12, 16], "locat": [9, 12, 16, 26], "uparrow_i": [9, 12, 16], "uparrow_j": [9, 12, 16], "likewis": [9, 12, 16], "off": [9, 12, 16, 23], "downarrow_j": [9, 12, 16], "downarrow_i": [9, 12, 16], "multi": [9, 12, 13, 16], "source_sit": [9, 12, 13, 16], "dx2": [9, 12, 16], "dy2": [9, 12, 16], "dx3": [9, 12, 16], "dy3": [9, 12, 16], "dxn": [9, 12, 16], "dyn": [9, 12, 16], "z_k": [9, 12, 16], "opetr": 9, "source_leg": 9, "avail": [9, 28], "clockwis": 9, "source_initi": 9, "target_initi": 9, "source_fin": 9, "target_fin": 9, "0012507815756226": 9, "9987507809245809": 9, "9975031223974601": 9, "0025156589209967": 9, "005012536523536871": 9, "summari": [10, 22], "tenes_simpl": [10, 11, 19, 22, 23, 24, 25, 26, 27, 28], "correlation_length": [10, 11], "additionari": [11, 23], "tabl": 11, "summar": [11, 15], "out": 11, "subsect": [12, 14, 15], "directri": 13, "paramt": 13, "simple_num_step": 13, "simple_tau": 13, "simple_inverse_lambda_cutoff": 13, "simple_gauge_fix": 13, "simple_gauge_maxit": 13, "simple_gauge_convergence_epsilon": 13, "full_num_step": 13, "full_inverse_projector_cutoff": 13, "full_inverse_precis": 13, "full_convergence_epsilon": 13, "full_iteration_max": 13, "full_gauge_fix": 13, "full_fastfullupd": 13, "ctm_dimens": 13, "ctm_inverse_projector_cutoff": 13, "ctm_convergence_epsilon": 13, "ctm_iteration_max": 13, "ctm_projector_corn": 13, "lcor": 13, "tensor_load_dir": 13, "tensor_save_dir": 13, "save_tensor": [13, 25], "outdir": 13, "start_datetim": 13, "08t16": 13, "41": 13, "00": [13, 25, 26, 29], "64429": 13, "environmn": [13, 24], "741858": 13, "104487": 13, "per": [13, 24, 29], "summat": [13, 29], "00499902760266346e": 13, "00000000000000000e": [13, 25, 26, 29], "99999945662006270e": 13, "99999945662006284e": 13, "sx": [13, 24, 25, 26], "24214061616647275e": 13, "05": [13, 25, 26], "sy": [13, 25, 26], "34065881671767322e": 13, "99999902814604325e": 13, "22346094146706503e": 13, "szsz": [13, 21, 24, 25, 26, 29], "99999902814604380e": 13, "80051315353166456e": 13, "sxsx": [13, 24, 25, 26], "12631053560300631e": 13, "08792260271591701e": 13, "sysi": [13, 24, 25, 26], "12817627661272438e": 13, "76468712680822333e": 13, "hat": 13, "alpha_i": [13, 15], "row": [13, 25, 29], "column": [13, 20, 25, 26], "re": [13, 27], "imag": [13, 21, 25, 26, 29], "im": [13, 27], "addit": [13, 15, 25, 26], "someth": 13, "wrong": 13, "too": 13, "op_group": [13, 29], "site_index": [13, 29], "99999945520001373e": 13, "99999967900088089e": 13, "99999894622883147e": 13, "99999974605052581e": 13, "99999945520001376e": 13, "99999967900088049e": 13, "99999894622883134e": 13, "99999974605052522e": 13, "00000000000000044e": 13, "six": 13, "49999925774909121e": 13, "38316768671362694e": 13, "49999967989907063e": 13, "24343236807659553e": 13, "22": [13, 25], "49999972903562101e": 13, "06825262200104597e": 13, "49999957625646446e": 13, "06789370628128221e": 13, "24": 13, "49999931343147630e": 13, "11801499860976615e": 13, "49999939447834718e": 13, "65429596395607220e": 13, "00000000000000067e": 13, "filenam": [13, 20, 21], "_i": [13, 15, 16, 24, 25, 26, 27, 29], "equiv": [13, 27], "x_i": 13, "y_i": 13, "seven": 13, "left_op": 13, "left_sit": 13, "right_op": 13, "right_dx": 13, "right_di": 13, "7": [13, 25, 26, 28], "71759992763061836e": 13, "36428299157186382e": 13, "43751794649139675e": 13, "14110668277268192e": 13, "42375391377041444e": 13, "14103263451826963e": 13, "41835919840103741e": 13, "11365361507372103e": 13, "41783912096811515e": 13, "12856813523671142e": 13, "72711348845767942e": 13, "40873628493918905e": 13, "43814797743900907e": 13, "17958665742991377e": 13, "42415176172922653e": 13, "22109610917000360e": 13, "41838862178711583e": 13, "19321507524565005e": 13, "41792935491960648e": 13, "23094733264734764e": 13, "95389427681298805e": 13, "15901595234210079e": 13, "15": 13, "01916094009441903e": 13, "27162373457160362e": 13, "41888376278899312e": 13, "38672137694415560e": 13, "16": [13, 24], "coodin": 13, "e_1": 13, "4th": 13, "subsequ": 13, "logarithm": 13, "e_i": 13, "log": [13, 24], "lambda_0": 13, "estim": 13, "prx": 13, "041033": 13, "031030": 13, "dir": 13, "coorin": 13, "t_i": 13, "t_0": 13, "largest": 13, "18785686529154477e": 13, "57068291744370647e": 13, "88102462824739991e": 13, "20658864940629751e": 13, "53188228022952533e": 13, "56359469233104953e": 13, "23312072254469030e": 13, "47803824443704013e": 13, "03413555039678595e": 13, "00830966658579996e": 13, "97931178960083720e": 13, "08813099309339911e": 13, "obesrv": 13, "00684745572451129e": 13, "84842757985213292e": 13, "99999945661913914e": 13, "24214061616496842e": 13, "99999999999993783e": 13, "54571641402435656e": 13, "25677610112348483e": 13, "43318936197596913e": 13, "73418200262321655e": 13, "89240026254938282e": 13, "33393869225996210e": 13, "99999945519898625e": 13, "99999967900020936e": 13, "99999894622765451e": 13, "99999999999999667e": 13, "49999925774803150e": 13, "01660465821037727e": 13, "49999967989888300e": 13, "23516895582898471e": 13, "49999972903488521e": 13, "20403358955599675e": 13, "49999957625561042e": 13, "13590865617858526e": 13, "49999931343070220e": 13, "27316466562544801e": 13, "99999999999999445e": 13, "38777878078144568e": 13, "third": [13, 15, 20, 21], "eight": 13, "83422488349707711e": 13, "90382762094233524e": 13, "30943360551218668e": 13, "19695835411528090e": 13, "23": 13, "12158436385765748e": 13, "04903226091485958e": 13, "13819451426396547e": 13, "74438421668770658e": 13, "33224506806043380e": 13, "71850465073480394e": 13, "96301355731331212e": 13, "37659660157453792e": 13, "18": [13, 24], "5th": 13, "18785686529220424e": 13, "57068291744232891e": 13, "88102462824919758e": 13, "20658864940612931e": 13, "53188228022987083e": 13, "56359469232955917e": 13, "23312072254560540e": 13, "47803824443520515e": 13, "03413555040836602e": 13, "00830966658709920e": 13, "97931178959761578e": 13, "97931178959761667e": 13, "08813099310449513e": 13, "99999999999999917e": 13, "02379048126702904e": 13, "94122296382149528e": 13, "94122296382149617e": 13, "74309974506451315e": 13, "20416567580991346e": 13, "53686404327366777e": 13, "18101616573088020e": 13, "12137154053103655e": 13, "71393143960851368e": 13, "17220113786375002e": 13, "90367314703518503e": 13, "25300260476656966e": 13, "61893825410630487e": 13, "00000000000000039e": 13, "96835348300227503e": 13, "08038829730281805e": 13, "35176717846311778e": 13, "02355022722768896e": 13, "94180963014702801e": 13, "57691315725687975e": 13, "05314677188187883e": 13, "87057239986509760e": 13, "90951918842309798e": 13, "63323696507474692e": 13, "12281023136305169e": 13, "83104916294462416e": 13, "61585992965019176e": 13, "16644355600232430e": 13, "29497956495965427e": 13, "those": [13, 21, 29], "ft_": 13, "te_": 13, "standard": [15, 18, 22, 24, 30], "alpha_": 15, "alpha_j": 15, "vec": 15, "_j": [15, 24, 25, 26, 27], "sum_i": [15, 16, 24, 25, 26, 27, 28], "term": [15, 20], "magnitud": [15, 24, 27], "half": 15, "hx": [15, 24, 25, 26], "hy": 15, "hz": [15, 27], "anisotropi": 15, "exchang": 15, "j0": 15, "j1": 15, "j2": 15, "2nd": 15, "surround": 15, "keynam": 15, "quotat": 15, "mark": 15, "coupl": 15, "Ising": [15, 22, 30], "ad": [15, 26], "charact": 15, "xyz": 15, "compon": [15, 29], "twice": 15, "biquadrat": 15, "b0": 15, "b1": 15, "b2": 15, "dagger_i": 15, "b_j": [15, 28], "dagger_j": 15, "b_i": [15, 28], "v_": 15, "n_i": [15, 28], "n_j": [15, 28], "mu": [15, 28], "dagger": [15, 28], "annihil": 15, "nmax": 15, "particl": [15, 28], "onsit": [15, 20], "repuls": 15, "chemic": [15, 28], "potenti": [15, 28], "hop": [15, 28], "offsit": 15, "v": [15, 28], "t0": 15, "t1": 15, "t2": 15, "v0": 15, "v1": 15, "v2": 15, "leftrightarrow": 15, "w": [15, 20, 24, 25, 26, 27], "init": 15, "ignor": 15, "ferro": [15, 24, 25], "ferromagnet": [15, 24, 25, 26], "antiferro": [15, 20], "antiferromagnet": [15, 30], "neel": [15, 29], "sublattic": [15, 29], "120": 15, "belong": 15, "theta": 15, "pi": [15, 28], "fluctuat": [15, 29], "concret": 15, "fig": [15, 19, 24, 25, 26, 27, 28], "blue": 15, "bondtyp": 15, "red": 15, "90": [15, 24], "45": 15, "green": 15, "60": [15, 24], "correnspond": 15, "dash": 15, "ellips": 15, "denot": [15, 20, 25, 26], "150": 15, "most": 15, "triangl": 15, "lowertriangl": 15, "white": 15, "dummi": 15, "detail": [15, 18, 19, 20, 21, 24], "judg": 16, "destin": 16, "random": [17, 27], "argument": [18, 20, 21], "command": [18, 20, 21, 23, 24, 27, 28], "option": [18, 20, 21, 23], "help": [18, 20, 21, 27], "messag": [18, 20, 21], "quiet": 18, "print": [18, 24, 25, 26, 27], "etc": 19, "eas": 19, "script": [19, 24, 25, 26, 27, 28], "provid": [19, 23, 26], "schemat": 19, "flow": 19, "yourself": [19, 23], "accord": 19, "predetermin": 19, "simpler": 19, "creat": [19, 20], "convert": 19, "std": [20, 21, 24, 29], "coordinatefil": 20, "coordfil": 20, "cartesian": 20, "zeeman": 20, "kagom": 20, "sampl": [20, 21, 24, 25, 26, 27, 28, 29], "simple_upd": [20, 21, 24, 25, 26, 27, 29], "1000": [20, 21, 24, 27, 29], "full_upd": [20, 21, 24, 25, 26, 27, 29], "exp": [21, 28], "duplic": 21, "stop": 21, "simultan": [21, 26], "append": [21, 28], "coord": 21, "nonzero": [21, 29], "fourth": 21, "fifth": 21, "sixth": 21, "twosit": [21, 24, 29], "download": 22, "prerequisit": 22, "tutori": [22, 25, 26], "transvers": [22, 30], "phase": [22, 25, 30], "hardcor": [22, 30], "boson": [22, 30], "trianglar": [22, 30], "faq": 22, "acknowledg": 22, "contact": 22, "modul": 22, "code": 23, "git": 23, "clone": 23, "http": 23, "com": 23, "issp": 23, "dev": 23, "bla": 23, "cpptoml": 23, "debian": 23, "linux": 23, "ubuntu": 23, "root": 23, "priviledg": 23, "them": [23, 24, 28, 29], "sudo": 23, "apt": 23, "openmpi": 23, "bin": 23, "libopenmpi": 23, "libscalapack": 23, "offici": 23, "instruct": 23, "implement": 23, "python3": [23, 26], "numpi": [23, 24, 27], "scipi": 23, "cento": 23, "cmake3": 23, "mkdir": 23, "cd": 23, "dcmake_install_prefix": 23, "usr": 23, "accept": 23, "num": [23, 24, 27], "drastic": 23, "src": 23, "denable_mpi": 23, "maco": 23, "incompat": 23, "detect": 23, "sometim": 23, "dcmake_cxx_compil": 23, "fail": 23, "lib": 23, "dscalapack_root": 23, "libmptensor": 23, "add": 23, "dmptensor_root": 23, "found": [23, 25], "via": 23, "env": 23, "sure": 23, "invok": 23, "exist": [23, 25, 28], "dtenes_python_execut": 23, "present": [24, 26], "align": [24, 25, 26, 27, 28], "pauli": [24, 25, 26], "variabl": 24, "slice": 24, "meanfield": 24, "bulk": 24, "jz": [24, 25, 26], "jx": [24, 25, 26], "jy": [24, 25, 26], "sinc": [24, 25, 26, 27], "manifest": 24, "properli": 24, "thread": 24, "300": 24, "40": 24, "400": 24, "500": [24, 25, 27], "600": 24, "70": 24, "700": 24, "800": 24, "900": 24, "output_0": 24, "onesite_ob": [24, 29], "twosite_ob": 24, "28526262482e": 24, "7374919982e": 24, "73749202733e": 24, "wall": 24, "sec": 24, "545813509": 24, "123170523": 24, "048149856": 24, "displai": [24, 25, 26], "finish": [24, 27, 28], "run": [24, 25, 26, 27, 28], "tutorial_exampl": 24, "py": [24, 26, 27, 28], "tutorial_read": 24, "prepar": [24, 25, 26, 27, 29], "01_transverse_field_is": 24, "subprocess": [24, 27], "np": [24, 27], "mpi_cmd": [24, 27], "mpiexec": [24, 27], "num_hx": 24, "min_hx": 24, "max_hx": 24, "total": [24, 27], "idx": [24, 27], "enumer": [24, 27], "linspac": [24, 27], "f": [24, 27], "dict_toml": [24, 27], "output_": [24, 27], "simple_toml": [24, 27], "simple_": [24, 27], "std_toml": [24, 27], "std_": [24, 27], "input_toml": [24, 27], "input_": [24, 27], "dump": [24, 27], "cmd": [24, 27], "split": [24, 27, 29], "join": [24, 27], "en": [24, 27], "mag_sz": [24, 27], "mag_sx": 24, "elif": [24, 27], "python": [24, 27, 28], "macbook2017": 24, "ghz": 24, "intel": 24, "core": [24, 28], "i7": 24, "minut": [24, 26, 28], "seen": [24, 25, 27], "decreas": [24, 27], "introduc": [25, 27], "02_time_evolut": 25, "serv": 25, "simple_te_strong": 25, "output_te_strong": 25, "moreov": [25, 26], "util": 25, "ft_densiti": [25, 26], "record": 25, "bond_hamiltonian": [25, 26], "00184764052080899e": 25, "99999945646528332e": 25, "24306486797199186e": 25, "34088935337348195e": 25, "47535331983321418e": 25, "99999902788251294e": 25, "46256269499545126e": 25, "12653588020163689e": 25, "35907290717320676e": 25, "12840199341671039e": 25, "06527532941704114e": 25, "longitudin": [25, 26], "extract": [25, 26], "awk": [25, 26], "te_dens": 25, "magnetization_strong": 25, "ve": [25, 26], "simple_te_middl": 25, "simple_te_weak": [25, 26], "addition": [25, 28], "sh": [25, 26], "go": [25, 29], "ensur": [25, 26], "correctli": 25, "conclud": 25, "launch": 25, "gnuplot": [25, 26, 27, 28], "plt": [25, 26], "tempor": 25, "s_z": [25, 26, 27], "graph": [25, 26, 28], "illustr": [25, 26], "vertic": [25, 26], "horizont": [25, 26], "exce": 25, "transit": 25, "oscil": 25, "dqpt": 25, "At": 25, "capac": [25, 26], "insuffici": 25, "jump": 25, "discontinu": 25, "virtual_dimens": 25, "instanc": 25, "adjust": 25, "redo": 25, "elimin": 25, "showcas": 25, "heyl": 25, "polkovnikov": 25, "kehrein": 25, "dynam": 25, "110": 25, "135704": 25, "2013": 25, "subject": 26, "03_finite_temperatur": 26, "simple_ft_strong": 26, "output_ft_strong": 26, "005": 26, "energy_strong": 26, "simple_ft_middl": 26, "simple_ft_zero": 26, "up": [26, 27, 29], "complet": [26, 27], "heat": 26, "differenti": 26, "calcspec": 26, "spline": 26, "interpol": 26, "visual": 26, "s_x": 26, "plot_": 26, "plot_c": 26, "plot_mx": 26, "plot_mz": 26, "persist": 26, "m_x": 26, "m_z": 26, "comparison": 26, "dsqss": 26, "dla": 26, "curv": [26, 27], "extern": 27, "n_u": 27, "tutorial_magnet": 27, "04_magnet": 27, "lighter": 27, "simplic": 27, "swept": 27, "num_h": 27, "min_h": 27, "max_h": 27, "num_step_t": 27, "2000": 27, "fmag": 27, "fene": 27, "write": 27, "inum": 27, "num_pr": 27, "output_dir": 27, "val": 27, "strip": 27, "close": 27, "store": 27, "consequ": 27, "actual": 27, "hour": 27, "notebook": 27, "pc": 27, "singl": 27, "processor": 27, "gp": [27, 28], "panel": 27, "plot_en": 27, "plateau": 27, "satur": 27, "gap": 27, "uniqu": 27, "enough": 27, "sign": 27, "presum": 27, "figur": [27, 28], "basic_squar": 27, "tutorial_magnetization_squar": 27, "content": [27, 28], "plot_squar": 27, "plot_square_en": 27, "unlik": 27, "bigl": 28, "bigr": 28, "restrict": 28, "character": 28, "wessel": 28, "superfluid": 28, "offdiagon": 28, "fill": 28, "q": 28, "inset": 28, "factor": 28, "r_i": 28, "r_j": 28, "nn_ob": 28, "05_hardcore_boson_triangular": 28, "previou": 28, "themselv": 28, "std__xxx_yyi": 28, "calculat": 28, "fourier": 28, "transform": 28, "fold": 28, "degener": 28, "select": 28, "ten": 28, "lesssim": 28, "supersolid": 28, "pattern": 28, "troyer": 28, "hard": 28, "bosonson": 28, "95": 28, "127205": 28, "2005": 28, "2x2": 29, "displac": 29, "ket": 29, "a0": 29, "a_k": 29, "sai": 29, "action": 29, "remain": 29, "hamiltoninan": 29, "identifi": 29, "conveni": 29, "pmatrix": 29, "explicitli": 29, "braket": 29, "06_std_model": 29, "20256797875764860e": 29, "20198975366861232e": 29, "20294461413457539e": 29, "20236290136460302e": 29, "down": 29, "impos": 29, "therefor": 29, "stagger": 30}, "objects": {}, "objtypes": {}, "objnames": {}, "titleterms": {"what": 0, "i": 0, "tene": [0, 9, 11, 18, 22], "overview": 1, "develop": 1, "version": 1, "inform": 1, "licens": 1, "paper": 1, "copyright": 1, "acknowledg": 2, "algorithm": 3, "tensor": [3, 9, 16, 17], "network": 3, "state": [3, 13], "contract": 3, "itp": 3, "optim": 3, "real": [3, 25], "time": [3, 13, 25], "evolut": [3, 9, 13, 25], "finit": [3, 13, 26], "temperatur": [3, 13, 26], "simul": 3, "contact": 5, "faq": 6, "exampl": [8, 9, 12, 14, 15, 16, 29], "input": [9, 11, 15, 16], "file": [9, 10, 11, 13, 15, 16], "paramet": [9, 13, 14, 15, 16], "section": [9, 15, 16], "gener": [9, 14, 15, 16], "simple_upd": [9, 14, 15, 16], "full_upd": [9, 14, 15, 16], "ctm": [9, 14, 15, 16], "random": [9, 14, 15, 16], "unitcel": [9, 16, 17], "subsect": [9, 16, 17], "observ": [9, 12, 16], "onesit": [9, 12, 16], "twosit": [9, 12, 16], "multisit": [9, 12, 16], "correl": [9, 13, 15, 16], "correlation_length": [9, 13, 15, 16], "format": 10, "short": 11, "summari": 11, "output": 13, "For": 13, "all": 13, "mode": [13, 29], "dat": 13, "ground": 13, "calcul": [13, 26], "densiti": 13, "onesite_ob": 13, "twosite_ob": 13, "multisite_obs_": 13, "te_dens": 13, "te_onesite_ob": 13, "te_twosite_ob": 13, "te_multisite_obs_": 13, "te_correl": 13, "te_correlation_length": 13, "tenes_simpl": [15, 20], "model": [15, 24, 25, 26, 27, 28, 29], "spin": 15, "system": 15, "boson": [15, 28], "lattic": [15, 27, 28, 29], "squar": [15, 27], "triangular": [15, 27], "honeycomb": 15, "kagom": 15, "tenes_std": [16, 21], "hamiltonian": [16, 29], "usag": [18, 19, 20, 21], "welcom": 22, "": 22, "document": 22, "content": 22, "indic": 22, "tabl": 22, "instal": 23, "download": 23, "prerequisit": 23, "parallel": 23, "build": 23, "disabl": 23, "mpi": 23, "scalapack": 23, "specifi": 23, "compil": 23, "us": [23, 29], "pre": 23, "built": 23, "mptensor": 23, "python": 23, "interpret": 23, "Ising": [24, 25, 26], "transvers": [24, 25, 26], "magnet": [24, 27], "field": [24, 25, 26, 29], "process": 27, "heisenberg": [27, 29], "phase": 28, "diagram": 28, "hardcor": 28, "trianglar": 28, "definit": 29, "oper": 29, "standard": 29, "unit": 29, "cell": 29, "bond": 29, "site": 29, "antiferromagnet": 29, "stagger": 29, "tutori": 30}, "envversion": {"sphinx.domains.c": 3, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 9, "sphinx.domains.index": 1, "sphinx.domains.javascript": 3, "sphinx.domains.math": 2, "sphinx.domains.python": 4, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx": 58}, "alltitles": {"What is TeNeS ?": [[0, "what-is-tenes"]], "Overview": [[1, "overview"]], "Developers": [[1, "developers"]], "Version information": [[1, "version-information"]], "License": [[1, "license"]], "Papers": [[1, "papers"]], "Copyright": [[1, "copyright"]], "Acknowledgement": [[2, "acknowledgement"]], "Algorithm": [[3, "algorithm"]], "Tensor Network States": [[3, "tensor-network-states"]], "Contraction of iTPS": [[3, "contraction-of-itps"]], "Optimization of iTPS": [[3, "optimization-of-itps"]], "Real-time evolution by iTPS": [[3, "real-time-evolution-by-itps"]], "Finite temperature simulation": [[3, "finite-temperature-simulation"]], "Contacts": [[5, "contacts"]], "FAQ": [[6, "faq"]], "Example": [[8, "example"], [9, "example"], [9, "id1"], [9, "id2"], [9, "id3"], [12, "example"], [12, "id1"], [14, "example"], [15, "example"], [16, "example"], [16, "id1"], [16, "id2"], [16, "id3"]], "Input file for tenes": [[9, "input-file-for-tenes"]], "parameter section": [[9, "parameter-section"], [15, "parameter-section"], [16, "parameter-section"]], "parameter.general": [[9, "parameter-general"], [14, "parameter-general"], [15, "parameter-general"], [16, "parameter-general"]], "parameter.simple_update": [[9, "parameter-simple-update"], [14, "parameter-simple-update"], [15, "parameter-simple-update"], [16, "parameter-simple-update"]], "parameter.full_update": [[9, "parameter-full-update"], [14, "parameter-full-update"], [15, "parameter-full-update"], [16, "parameter-full-update"]], "parameter.ctm": [[9, "parameter-ctm"], [14, "parameter-ctm"], [15, "parameter-ctm"], [16, "parameter-ctm"]], "parameter.random": [[9, "parameter-random"], [14, "parameter-random"], [15, "parameter-random"], [16, "parameter-random"]], "tensor section": [[9, "tensor-section"], [16, "tensor-section"]], "tensor.unitcell subsection": [[9, "tensor-unitcell-subsection"], [16, "tensor-unitcell-subsection"], [17, "tensor-unitcell-subsection"]], "observable section": [[9, "observable-section"], [16, "observable-section"]], "observable.onesite": [[9, "observable-onesite"], [12, "observable-onesite"], [16, "observable-onesite"]], "observable.twosite": [[9, "observable-twosite"], [12, "observable-twosite"], [16, "observable-twosite"]], "observable.multisite": [[9, "observable-multisite"], [12, "observable-multisite"], [16, "observable-multisite"]], "evolution section": [[9, "evolution-section"]], "correlation section": [[9, "correlation-section"], [15, "correlation-section"], [16, "correlation-section"]], "correlation_length section": [[9, "correlation-length-section"], [15, "correlation-length-section"], [16, "correlation-length-section"]], "File format": [[10, "file-format"]], "Short summary for input files of TeNeS": [[11, "short-summary-for-input-files-of-tenes"]], "Output files": [[13, "output-files"]], "For all modes": [[13, "for-all-modes"]], "parameters.dat": [[13, "parameters-dat"]], "time.dat": [[13, "time-dat"]], "For ground state calculation mode": [[13, "for-ground-state-calculation-mode"]], "density.dat": [[13, "density-dat"]], "onesite_obs.dat": [[13, "onesite-obs-dat"]], "twosite_obs.dat": [[13, "twosite-obs-dat"]], "multisite_obs_#.dat": [[13, "multisite-obs-dat"]], "correlation.dat": [[13, "correlation-dat"]], "correlation_length.dat": [[13, "correlation-length-dat"]], "For time evolution mode": [[13, "for-time-evolution-mode"]], "TE_density.dat": [[13, "te-density-dat"]], "TE_onesite_obs.dat": [[13, "te-onesite-obs-dat"]], "TE_twosite_obs.dat": [[13, "te-twosite-obs-dat"]], "TE_multisite_obs_#.dat": [[13, "te-multisite-obs-dat"]], "TE_correlation.dat": [[13, "te-correlation-dat"]], "TE_correlation_length.dat": [[13, "te-correlation-length-dat"]], "For finite temperature calculation mode": [[13, "for-finite-temperature-calculation-mode"]], "Input file for tenes_simple": [[15, "input-file-for-tenes-simple"]], "model section": [[15, "model-section"]], "Spin system: \"spin\"": [[15, "spin-system-spin"]], "Bosonic system: \"boson\"": [[15, "bosonic-system-boson"]], "lattice section": [[15, "lattice-section"]], "Square lattice": [[15, "square-lattice"]], "Triangular lattice": [[15, "triangular-lattice"]], "Honeycomb lattice": [[15, "honeycomb-lattice"]], "Kagome lattice": [[15, "kagome-lattice"]], "Input file for tenes_std": [[16, "input-file-for-tenes-std"]], "hamiltonian section": [[16, "hamiltonian-section"]], "Usage of tenes": [[18, "usage-of-tenes"]], "Usage": [[19, "usage"]], "Usage of tenes_simple": [[20, "usage-of-tenes-simple"]], "Usage of tenes_std": [[21, "usage-of-tenes-std"]], "Welcome to TeNeS\u2019s documentation!": [[22, "welcome-to-tenes-s-documentation"]], "Contents": [[22, "contents"]], "Indices and tables": [[22, "indices-and-tables"]], "Install": [[23, "install"], [23, "id1"]], "Download": [[23, "download"]], "Prerequisites": [[23, "prerequisites"]], "Parallel Build": [[23, null]], "Disable MPI/ScaLAPACK parallelization": [[23, null]], "Specify compiler": [[23, null]], "Specify ScaLAPACK": [[23, null]], "Use the pre-built mptensor": [[23, null]], "Specify Python interpreter": [[23, null]], "Ising model with transverse magnetic field": [[24, "ising-model-with-transverse-magnetic-field"]], "Real-Time Evolution of the Transverse Field Ising Model": [[25, "real-time-evolution-of-the-transverse-field-ising-model"]], "Finite Temperature Calculations for the Transverse Field Ising Model": [[26, "finite-temperature-calculations-for-the-transverse-field-ising-model"]], "Magnetization process of the Heisenberg model on triangular and square lattices": [[27, "magnetization-process-of-the-heisenberg-model-on-triangular-and-square-lattices"]], "Phase diagram of the hardcore boson model on a trianglar lattice": [[28, "phase-diagram-of-the-hardcore-boson-model-on-a-trianglar-lattice"]], "Definition of lattices, models, and operators using the standard mode": [[29, "definition-of-lattices-models-and-operators-using-the-standard-mode"]], "Definition of unit cell": [[29, "definition-of-unit-cell"]], "Definition of model (Hamiltonian)": [[29, "definition-of-model-hamiltonian"]], "Bond Hamiltonian": [[29, "bond-hamiltonian"]], "Site Hamiltonian": [[29, "site-hamiltonian"]], "Definition of operators": [[29, "definition-of-operators"]], "Example: Antiferromagnetic Heisenberg model in staggered field": [[29, "example-antiferromagnetic-heisenberg-model-in-staggered-field"]], "Tutorial": [[30, "tutorial"]]}, "indexentries": {}}) \ No newline at end of file diff --git a/manual/develop/en/html/tutorial/03_finite_temperature.html b/manual/develop/en/html/tutorial/03_finite_temperature.html index 3a07a892..e8236b2c 100644 --- a/manual/develop/en/html/tutorial/03_finite_temperature.html +++ b/manual/develop/en/html/tutorial/03_finite_temperature.html @@ -133,11 +133,12 @@

4.3. Finite Temperature Calculations for gnuplot -persist plot_mz.plt -

will display plots for energy, heat capacity, and magnetizations (\(m_x\) and \(m_z\)). The resulting plots are illustrated in Fig. 4.4. For comparison, results obtained using Quantum Monte Carlo calculations are also shown (using ALPS/looper).

-
-../_images/tutorial_08_finitetemperature.png +

will display plots for energy, heat capacity, and magnetizations (\(m_x\) and \(m_z\)). The resulting plots are illustrated in Fig. 4.4. For comparison, results obtained using Quantum Monte Carlo calculations are also shown (using DSQSS/dla).

+
+../_images/tutorial_03_finitetemperature.png
-

Fig. 4.4 Graphs for the finite temperature calculations of the Ising model: (a) energy, (b) heat capacity, (c) \(m_x\), and (d) \(m_z\). The vertical axis represents the physical quantity, and the horizontal axis denotes temperature.

+

Fig. 4.4 Graphs for the finite temperature calculations of the Ising model: (a) energy, (b) heat capacity, (c) transverse magnetization, and (d) longitudinal magnetization. The vertical axis represents the physical quantity, and the horizontal axis denotes temperature. +Curves are results by TeNeS and squares are results by DSQSS/dla (longitudinal magnetization is zero from symmetry).

diff --git a/manual/develop/ja/html/_images/tutorial_03_finitetemperature.png b/manual/develop/ja/html/_images/tutorial_03_finitetemperature.png new file mode 100644 index 00000000..f5a94fe4 Binary files /dev/null and b/manual/develop/ja/html/_images/tutorial_03_finitetemperature.png differ diff --git a/manual/develop/ja/html/_images/tutorial_08_finitetemperature.png b/manual/develop/ja/html/_images/tutorial_08_finitetemperature.png deleted file mode 100644 index fbfc32bc..00000000 Binary files a/manual/develop/ja/html/_images/tutorial_08_finitetemperature.png and /dev/null differ diff --git a/manual/develop/ja/html/_sources/tutorial/03_finite_temperature.rst.txt b/manual/develop/ja/html/_sources/tutorial/03_finite_temperature.rst.txt index 512b0356..8bc69aaf 100644 --- a/manual/develop/ja/html/_sources/tutorial/03_finite_temperature.rst.txt +++ b/manual/develop/ja/html/_sources/tutorial/03_finite_temperature.rst.txt @@ -83,11 +83,12 @@ gnuplot -persist plot_mx.plt gnuplot -persist plot_mz.plt -その結果を :numref:`fig_tutorial8_finitetemperature` に示します。 -比較のため、量子モンテカルロ法を用いて計算した結果も一緒に表示しています ( ``ALPS/looper`` を使用)。 +その結果を :numref:`fig_tutorial3_finitetemperature` に示します。 +比較のため、量子モンテカルロ法を用いて計算した結果も一緒に表示しています ( ``DSQSS/dla`` を使用)。 -.. figure:: ../../img/tutorial_08_finitetemperature.* - :name: fig_tutorial8_finitetemperature +.. figure:: ../../img/tutorial_03_finitetemperature.* + :name: fig_tutorial3_finitetemperature :width: 600px - イジング模型の有限温度計算の図: (a) エネルギー、(b) 比熱、(c) :math:`m_x` 、(d) :math:`m_z`. 縦軸は物理量、横軸は温度を表す。 + イジング模型の有限温度計算の図: (a) エネルギー、(b) 比熱、(c) 横磁化、(d) 縦磁化. 縦軸は物理量、横軸は温度を表す。 + 実線はTeNeSによる計算で、四角はDSQSS/dla によるQMC計算（縦磁化は対称性により0）。 diff --git a/manual/develop/ja/html/_static/tutorial_03_finitetemperature.pdf b/manual/develop/ja/html/_static/tutorial_03_finitetemperature.pdf new file mode 100644 index 00000000..633063ca Binary files /dev/null and b/manual/develop/ja/html/_static/tutorial_03_finitetemperature.pdf differ diff --git a/manual/develop/ja/html/_static/tutorial_03_finitetemperature.png b/manual/develop/ja/html/_static/tutorial_03_finitetemperature.png new file mode 100644 index 00000000..f5a94fe4 Binary files /dev/null and b/manual/develop/ja/html/_static/tutorial_03_finitetemperature.png differ diff --git a/manual/develop/ja/html/objects.inv b/manual/develop/ja/html/objects.inv index d79183e2..c5b13611 100644 Binary files a/manual/develop/ja/html/objects.inv and b/manual/develop/ja/html/objects.inv differ diff --git a/manual/develop/ja/html/searchindex.js b/manual/develop/ja/html/searchindex.js index 8ec173b7..28f15eb2 100644 --- a/manual/develop/ja/html/searchindex.js +++ b/manual/develop/ja/html/searchindex.js @@ -1 +1 @@ -Search.setIndex({"docnames": ["about/index", "about/info", "acknowledge/index", "algorithm/algorithms", "algorithm/index", "contact/index", "faq", "file_specification/correlation_length_section", "file_specification/correlation_section", "file_specification/expert_format", "file_specification/index", "file_specification/input_summary", "file_specification/observable_section", "file_specification/output_format", "file_specification/parameter_section", "file_specification/simple_format", "file_specification/standard_format", "file_specification/tensor_section", "how_to_use/expert_usage", "how_to_use/index", "how_to_use/simple_usage", "how_to_use/standard_usage", "index", "install", "tutorial/01_transverse_field_ising", "tutorial/02_time_evolution", "tutorial/03_finite_temperature", "tutorial/04_magnetization", "tutorial/05_hardcore_boson_triangular", "tutorial/06_std_model", "tutorial/index"], "filenames": ["about/index.rst", "about/info.rst", "acknowledge/index.rst", "algorithm/algorithms.rst", "algorithm/index.rst", "contact/index.rst", "faq.rst", "file_specification/correlation_length_section.rst", "file_specification/correlation_section.rst", "file_specification/expert_format.rst", "file_specification/index.rst", "file_specification/input_summary.rst", "file_specification/observable_section.rst", "file_specification/output_format.rst", "file_specification/parameter_section.rst", "file_specification/simple_format.rst", "file_specification/standard_format.rst", "file_specification/tensor_section.rst", "how_to_use/expert_usage.rst", "how_to_use/index.rst", "how_to_use/simple_usage.rst", "how_to_use/standard_usage.rst", "index.rst", "install.rst", "tutorial/01_transverse_field_ising.rst", "tutorial/02_time_evolution.rst", "tutorial/03_finite_temperature.rst", "tutorial/04_magnetization.rst", "tutorial/05_hardcore_boson_triangular.rst", "tutorial/06_std_model.rst", "tutorial/index.rst"], "titles": ["1. TeNeS \u3068\u306f\uff1f", "1.1. \u6982\u8981", "8. \u8b1d\u8f9e", "6. \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0", "<no title>", "9. \u304a\u554f\u3044\u5408\u308f\u305b", "7. FAQ", "<no title>", "\u4f8b", "5.4. tenes \u306e\u5165\u529b\u30d5\u30a1\u30a4\u30eb", "5. \u30d5\u30a1\u30a4\u30eb\u30d5\u30a9\u30fc\u30de\u30c3\u30c8", "5.1. TeNeS \u306e\u5165\u529b\u30d5\u30a1\u30a4\u30eb\u306e\u7c21\u6613\u307e\u3068\u3081", "observable.onesite", "5.5. \u51fa\u529b\u30d5\u30a1\u30a4\u30eb", "parameter.general", "5.2. tenes_simple \u306e\u5165\u529b\u30d5\u30a1\u30a4\u30eb", "5.3. tenes_std \u306e\u5165\u529b\u30d5\u30a1\u30a4\u30eb", "tensor.unitcell \u30b5\u30d6\u30bb\u30af\u30b7\u30e7\u30f3", "3.3. tenes \u306e\u4f7f\u7528\u65b9\u6cd5", "3. \u4f7f\u7528\u65b9\u6cd5", "3.1. tenes_simple \u306e\u4f7f\u7528\u65b9\u6cd5", "3.2. tenes_std \u306e\u4f7f\u7528\u65b9\u6cd5", "Welcome to TeNeS's documentation!", "2. \u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u65b9\u6cd5", "4.1. \u6a2a\u78c1\u5834\u30a4\u30b8\u30f3\u30b0\u6a21\u578b", "4.2. \u6a2a\u78c1\u5834\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u306e\u5b9f\u6642\u9593\u767a\u5c55", "4.3. \u6a2a\u78c1\u5834\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u306e\u6709\u9650\u6e29\u5ea6\u8a08\u7b97", "4.4. \u4e09\u89d2\u683c\u5b50\u30fb\u6b63\u65b9\u683c\u5b50\u30cf\u30a4\u30bc\u30f3\u30d9\u30eb\u30af\u6a21\u578b\u306e\u78c1\u5316\u904e\u7a0b", "4.5. \u4e09\u89d2\u683c\u5b50\u4e0a\u306e\u30cf\u30fc\u30c9\u30b3\u30a2\u30dc\u30be\u30f3\u6a21\u578b\u306e\u76f8\u56f3", "4.6. \u30b9\u30bf\u30f3\u30c0\u30fc\u30c9\u30e2\u30fc\u30c9\u306b\u3088\u308b\u683c\u5b50\u30fb\u6a21\u578b\u30fb\u6f14\u7b97\u5b50\u306e\u5b9a\u7fa9", "4. \u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb"], "terms": {"\u6982\u8981": [0, 19, 22], "\u958b\u767a": [0, 2, 22], "\u30d0\u30fc\u30b8\u30e7\u30f3": [0, 5, 18, 20, 21, 22], "\u5c65\u6b74": [0, 22], "\u30e9\u30a4\u30bb\u30f3\u30b9": [0, 22], "\u8ad6\u6587": [0, 22], "\u30b3\u30d4\u30fc\u30e9\u30a4\u30c8": [0, 22], "tenes": [1, 2, 3, 5, 6, 10, 14, 17, 19, 23, 24, 25, 26, 27, 28, 29], "te": 1, "nsor": 1, "ne": 1, "twork": 1, "olver": 1, "\u30c6\u30f3\u30bd\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af": [1, 4, 22, 25], "\u57fa\u3065\u304f": 1, "\u591a\u4f53": [1, 3], "\u91cf\u5b50": [1, 3, 6, 25, 26, 27], "\u72b6\u614b": [1, 4, 6, 9, 10, 12, 14, 15, 16, 17, 22, 25, 26, 27, 28, 29], "\u8a08\u7b97": [1, 3, 6, 7, 8, 9, 10, 11, 14, 15, 16, 19, 21, 22, 24, 25, 27, 28, 29, 30], "\u305f\u3081": [1, 3, 5, 6, 9, 12, 14, 15, 16, 19, 25, 26, 27, 28, 29], "\u30aa\u30fc\u30d7\u30f3\u30bd\u30fc\u30b9": 1, "\u30d7\u30ed\u30b0\u30e9\u30e0\u30d1\u30c3\u30b1\u30fc\u30b8": 1, "\u3067\u3059": [1, 3, 6, 7, 8, 9, 12, 13, 15, 16, 17, 18, 20, 21, 23, 24, 25, 26, 27, 28, 29], "\u4e8c\u6b21": [1, 3, 15], "\u5143\u683c": 1, "\u5b50\u4e0a": 1, "\u5b9a\u7fa9": [1, 3, 8, 9, 12, 15, 16, 19, 20, 21, 22, 24, 25, 26, 27, 28, 30], "\u30b9\u30d4\u30f3": [1, 3, 6, 9, 12, 16, 20, 21, 24, 25, 26, 27, 29], "\u6a21\u578b": [1, 3, 9, 11, 12, 15, 16, 19, 20, 21, 22, 30], "\u306a\u3069": [1, 3, 5, 6, 9, 12, 14, 15, 16, 19, 20, 21, 23, 24, 25, 26, 27, 28], "\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3": [1, 3, 9, 11, 12, 16, 21, 24, 25, 26, 27, 28, 30], "\u306b\u3064\u3044\u3066": [1, 3, 6, 9, 12, 14, 15, 16, 19, 21, 23, 24, 25, 26, 29], "\u78c1\u5316": [1, 3, 22, 25, 26, 30], "\u76f8\u95a2": [1, 8, 9, 11, 13, 15, 16, 28, 29], "\u95a2\u6570": [1, 3, 8, 9, 11, 13, 15, 16, 23, 25, 27, 28], "\u7269\u7406": [1, 3, 6, 9, 12, 14, 15, 16, 25, 26, 29], "\u307e\u3059": [1, 2, 3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29], "\u57fa\u5e95": [1, 3, 6, 9, 10, 12, 14, 15, 16, 25, 26, 27, 28], "\u6709\u9650": [1, 4, 9, 10, 14, 15, 16, 22, 28, 30], "\u6e29\u5ea6": [1, 4, 9, 10, 14, 15, 16, 22, 30], "\u6642\u9593": [1, 3, 6, 9, 11, 13, 14, 15, 16, 24, 25, 27, 28], "\u767a\u5c55": [1, 3, 9, 10, 11, 14, 15, 16, 25, 26], "\u53ef\u80fd": [1, 3, 21, 23, 24, 29], "\u3042\u3089\u304b\u3058\u3081": [1, 19, 24, 25, 26, 27, 28], "\u683c\u5b50": [1, 3, 8, 9, 11, 12, 16, 19, 20, 21, 22, 24, 25, 26, 28, 30], "\u306b\u5bfe\u3057": [1, 3, 19, 24, 25, 26], "\u30e6\u30fc\u30b6\u30fc": [1, 18, 23], "\u7c21\u5358": [1, 3, 6, 11, 19, 27], "\u5165\u529b": [1, 3, 5, 10, 13, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29], "\u30d5\u30a1\u30a4\u30eb": [1, 3, 5, 10, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29], "\u4f5c\u6210": [1, 7, 9, 15, 16, 19, 23], "\u3059\u308b": [1, 3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29], "\u30c4\u30fc\u30eb": [1, 11, 19, 20, 21, 23], "\u3042\u308a": [1, 3, 6, 7, 9, 12, 15, 16, 18, 19, 23, 25, 28, 29], "\u6c17\u8efd": 1, "\u4f53\u9a13": 1, "\u3067\u304d": [1, 3, 6, 9, 12, 14, 15, 16, 17, 19, 20, 21, 23, 24, 25, 26, 28, 29], "openmp": 1, "/mpi": 1, "\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9": 1, "\u4e26\u5217": [1, 9, 14, 15, 16, 24], "\u5bfe\u5fdc": [1, 3, 9, 15, 19], "\u304a\u308a": [1, 3, 11, 23, 24, 25, 26, 27, 28, 29], "\u5927\u898f": 1, "\u6a21\u8a08": 1, "\u7b97\u6a5f": 1, "\u306b\u3088\u308b": [1, 3, 7, 9, 15, 16, 22, 30], "\u4ee5\u4e0b": [1, 3, 5, 7, 9, 13, 14, 15, 16, 18, 19, 20, 21, 23, 25, 26, 27, 28, 29], "\u30e1\u30f3\u30d0\u30fc": 1, "\u5927\u4e45\u4fdd": 1, "\u6771\u4eac\u5927\u5b66\u5927": 1, "\u5b66\u9662": 1, "\u7406\u5b66": 1, "\u7814\u7a76": [1, 3, 5, 28], "\u68ee\u7530": 1, "\u609f\u53f2": 1, "\u6176\u5fdc": 1, "\u5927\u5b66": 1, "\u5927\u5b66\u9662": 1, "\u7406\u5de5": 1, "\u5b66\u7814": 1, "\u7a76\u79d1": 1, "\u672c\u5c71": 1, "\u88d5\u4e00": 1, "\u6771\u4eac": 1, "\u7269\u6027": [1, 3], "\u7814\u7a76\u6240": 1, "\u5409\u898b": 1, "\u4e00\u6176": 1, "\u52a0\u85e4": 1, "\u5cb3\u751f": 1, "\u5ddd\u5cf6": 1, "\u76f4\u8f1d": 1, "ver": 1, "\u30ea\u30ea\u30fc\u30b9": 1, "beta": [1, 3, 9, 13, 14, 15, 16], "\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2": [1, 2], "\u304a\u3088\u3073": [1, 3, 5, 9, 11, 13, 14, 15, 16, 23, 24, 25, 26, 27, 28], "\u30bd\u30fc\u30b9\u30b3\u30fc\u30c9": [1, 23], "\u4e00\u5f0f": 1, "gnu": [1, 23], "general": [1, 9, 14, 15, 16, 24, 27], "public": 1, "license": 1, "version": 1, "gpl": 1, "\u6e96\u3058": 1, "\u914d\u5e03": 1, "\u7528\u3044": [1, 4, 7, 8, 9, 12, 14, 15, 16, 21, 22, 23, 24, 25, 26, 27, 28, 29], "\u7d50\u679c": [1, 3, 6, 9, 12, 14, 15, 16, 24, 25, 26, 27, 28], "\u51fa\u7248": 1, "\u5834\u5408": [1, 3, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 28, 29], "\u5f15\u7528": 1, "\u305f\u3060\u3051\u308b": 1, "\u5e78\u3044": [1, 3], "motoyama": 1, "tsuyoshi": 1, "okubo": 1, "kazuyoshi": 1, "yoshimi": 1, "satoshi": 1, "morita": [1, 9, 14, 15, 16], "takeo": 1, "kato": 1, "and": [1, 3, 9, 13, 14, 15, 16, 25], "naoki": 1, "kawashima": [1, 9, 14, 15, 16], "tensor": [1, 3, 10, 11, 13, 14, 15, 20, 21, 24, 25, 27, 29], "network": [1, 3], "solver": 1, "for": [1, 3, 9, 14, 15, 16, 24, 27], "quantum": [1, 3, 25], "lattice": [1, 3, 6, 10, 11, 20, 21, 24, 25, 26, 27, 28, 29], "systems": [1, 3], "\",": [1, 27], "comput": 1, "phys": [1, 3, 9, 14, 15, 16, 25, 28], "commun": 1, "the": [1, 3, 9, 13, 14, 15, 16, 21, 25, 26, 28], "university": 1, "of": [1, 3, 13, 20, 21, 24, 25, 26], "tokyo": 1, "all": 1, "rights": 1, "reserved": 1, "\u4e00\u90e8": [1, 23, 27], "\u5e74\u5ea6": [1, 2], "\u9ad8\u5ea6": [1, 2], "\u30d7\u30ed\u30b8\u30a7\u30af\u30c8": [1, 2], "\u652f\u63f4": [1, 2], "\u53d7\u3051": [1, 2], "\u305d\u306e": [1, 3, 5, 6, 7, 9, 11, 12, 15, 16, 25, 26, 28, 29], "\u8457\u4f5c": 1, "\u6240\u6301": 1, "\u6587\u90e8": 2, "\u79d1\u5b66\u7701": 2, "\u30dd\u30b9\u30c8": 2, "\u300c\u4eac": 2, "\u840c\u82bd": 2, "\u8ab2\u984c": 2, "\u57fa\u790e": 2, "\u79d1\u5b66": 2, "\u30d5\u30ed\u30f3\u30c6\u30a3\u30a2": 2, "\u6975\u9650": 2, "\u6311\u6226": 2, "\u53ca\u3073": 2, "\u91cd\u70b9": 2, "\u6b21\u4e16\u4ee3": 2, "\u7523\u696d": 2, "\u652f\u3048\u308b": 2, "\u65b0\u6a5f\u80fd": 2, "\u30c7\u30d0\u30a4\u30b9": 2, "\u9ad8\u6027": 2, "\u80fd\u6750": 2, "\u5275\u6210": 2, "\u4e00\u74b0": 2, "\u3068\u3057\u3066": [2, 3, 6, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 24, 25, 26, 27, 29], "\u5b9f\u65bd": 2, "\u307e\u3057": [2, 3, 29], "\u307e\u305f": [2, 3, 8, 9, 13, 15, 16, 17, 25, 26, 28], "\u6771\u4eac\u5927\u5b66\u7269": 2, "\u6027\u7814": 2, "\u7a76\u6240": 2, "\u3053\u306e": [2, 3, 9, 11, 12, 13, 14, 15, 16, 17, 25, 26, 27, 28, 29], "\u501f\u308a": 2, "\u611f\u8b1d": 2, "states": 3, "tns": [3, 8, 9, 16], "))": [3, 24, 27], "\u3068\u306f": 3, "\u5c0f\u3055": 3, "\u30c6\u30f3\u30bd\u30eb": [3, 8, 9, 11, 14, 15, 16, 17, 23, 24, 25, 29], "\u7e4b\u304c\u308a": 3, "\u5909\u5206": 3, "\u6ce2\u52d5": [3, 15, 25, 27], "[tns": 3, "\u4f8b\u3048": [3, 8, 9, 11, 12, 15, 16, 24, 25, 26, 27], "\u76f4\u7a4d": [3, 9, 12, 16, 17, 29], "\\psi": [3, 9, 13, 16, 17], "\\rangle": [3, 8, 9, 12, 13, 16, 17, 27, 28], "sum": [3, 9, 15, 16, 17, 24, 25, 26, 27, 28, 29], "_{": [3, 9, 15, 16, 17, 24, 25, 26, 27, 28, 29], "_i": [3, 9, 12, 13, 15, 16, 17, 24, 25, 26, 27, 28, 29], "uparrow": [3, 9, 12, 16, 17], ",\\": [3, 29], "downarrow": [3, 9, 12, 16, 17], "psi": [3, 9, 13, 16, 17, 29], "dots": [3, 8, 9, 16], "_n": 3, "\u3068\u8868\u305b": 3, "\u5c55\u958b": 3, "\u4fc2\u6570": [3, 9, 12, 16, 17, 24, 25, 26, 29], "\u30cd\u30c3\u30c8\u30ef\u30fc\u30af": 3, "= \\": [3, 9, 14, 15, 16, 29], "mathrm": 3, "{ttr": 3, "}\\": [3, 9, 12, 13, 15, 16, 21, 27, 28, 29], "left": [3, 8, 9, 12, 13, 15, 16, 17], "[t": 3, "^{": [3, 13, 15, 24, 25, 26, 27, 29], ")}": [3, 9, 15, 16, 17], "]\\": 3, "cdots": 3, "(n": [3, 15], "right": [3, 8, 9, 12, 13, 15, 16, 21], "],": [3, 8, 9, 15, 16, 17], "\u3068\u66f8\u304f": 3, "\u3053\u3068": [3, 5, 6, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29], "\u3053\u3053": [3, 6, 9, 12, 15, 16, 24, 25, 26, 27, 28], "\\mathrm": [3, 13], "}[": 3, "\u8868\u3057": [3, 15, 25, 27, 28, 29], "(i": 3, "\u884c\u5217": [3, 7, 9, 12, 13, 15, 16, 29], "\u7a4d\u72b6": [3, 15], "matrix": [3, 24], "product": 3, "state": [3, 9, 13, 14, 15, 16, 20, 21], "mps": 3, "\u547c\u3070": 3, "\u308c\u308b": [3, 6, 9, 12, 14, 15, 16], "[mps": 3, "\u4e0e\u3048": [3, 9, 16, 17, 21], "\u3089\u308c\u308b": [3, 6, 9, 14, 15, 16, 28], "\u306a\u3063": [3, 6, 13, 25, 26, 28], "\u306f\u3053\u306e": 3, "\u901a\u5e38": 3, "\u306a\u308a": [3, 6, 9, 12, 13, 16, 17, 24, 25, 27, 28, 29], "}^": [3, 9, 13, 16, 17, 27, 28], "{\\": [3, 29], "{mps": 3, "}}": [3, 15, 28, 29], "\\neq": 3, "\u5f62\u72b6": [3, 6], "\u305d\u308c\u305e\u308c": [3, 9, 11, 12, 15, 16, 19, 29], "times": [3, 9, 12, 16, 24, 27, 28], "\u3042\u308b": [3, 5, 9, 12, 14, 15, 16, 17, 25, 27, 28, 29], "\u4eee\u5b9a": 3, "\u3088\u3046": [3, 6, 9, 12, 16, 17, 18, 19, 23, 24, 25, 27, 28, 29], "\u8fd1\u4f3c": 3, "\u7528\u3044\u308b": [3, 7, 9, 12, 14, 15, 16, 24, 25, 28], "\u7cbe\u5ea6": [3, 6, 27, 28], "\u306b\u3088\u3063": [3, 9, 15, 16, 17, 28, 29], "\u5236\u9650": [3, 9, 14, 15, 16, 28], "\u30dc\u30f3\u30c9": [3, 6, 9, 12, 13, 14, 15, 16, 17, 27, 28, 29], "\u6b21\u5143": [3, 6, 7, 9, 12, 13, 14, 15, 16, 17, 27, 28, 29], "\u30c0\u30a4\u30a2\u30b0\u30e9\u30e0": 3, "\u8868\u8a18": 3, "\u63cf\u304f": 3, "\u540c\u69d8": [3, 9, 12, 13, 15, 16, 25, 26, 27, 29], "\u3057\u3066": [3, 5, 23], "\u7121\u9650": 3, "\u8868\u308f\u3059": 3, "\u9577\u3044": 3, "\u8003\u3048\u308b": [3, 29], "\u7279\u306b": 3, "\u9577\u3055": 3, "\u4e26\u9032": 3, "\u5bfe\u79f0": 3, "\u6301\u3063": 3, "\u3044\u308b": [3, 5, 6, 8, 9, 13, 15, 16, 20, 23, 27, 29], "\u5c11\u6570": 3, "\u72ec\u7acb": [3, 9, 16, 17, 29], "\u7e70\u308a\u8fd4\u3059": 3, "infinite": 3, "imps": 3, "\u4f5c\u308b": [3, 15], "\u30b5\u30a4\u30c8": [3, 8, 9, 12, 13, 15, 16, 17, 20, 24, 27, 28, 29], "\u540c\u3058\u8272": 3, "\u540c\u3058": [3, 20, 21, 27, 28, 29], "\u8981\u7d20": [3, 9, 12, 14, 15, 16, 17, 29], "\u6301\u3064": [3, 9], "\u5e83\u304c\u3063": 3, "itns": [3, 24], "\u53d6\u308a\u6271\u3044": 3, "\u9ad8\u6b21": 3, "\u81ea\u7136": 3, "\u62e1\u5f35": 3, "\u3082\u3063": 3, "\u6b63\u65b9": [3, 8, 9, 12, 16, 20, 21, 24, 25, 26, 27, 28, 29], "\u30c0\u30a4\u30e4\u30b0\u30e9\u30e0": 3, "\u63cf\u3051": 3, "\u3002tenes": 3, "\u5143\u91cf\u5b50": 3, "\u306a\u304a": [3, 13, 15, 23, 24, 25, 28, 29], "\u3060\u3051": [3, 6, 9, 14, 15, 16, 26, 27, 28], "\u306a\u304f": [3, 6, 9, 13, 14, 15, 16, 25, 28], "\u9069\u5207": [3, 24], "\u30de\u30c3\u30d4\u30f3\u30b0": 3, "\u306b\u3088\u308a": [3, 25, 26, 27, 28], "\u30cf\u30cb\u30ab\u30e0": 3, "\u4e09\u89d2": [3, 15, 20, 27, 28], "\u69d8\u3005": 3, "\u5143\u683c\u5b50": 3, "\u9069\u7528": 3, "\u3089\u308c": [3, 8, 9, 12, 14, 15, 16, 17, 21, 23, 26, 27, 28], "\u671f\u5f85": [3, 13, 24, 25, 28, 29], "\\langle": [3, 8, 9, 12, 13, 16, 27, 28], "|o": 3, "|\\": [3, 9, 13, 16, 17, 28], "/\\": [3, 13], "langle": [3, 13, 24, 25, 26, 27, 28], "\u4e00\u822c": 3, "\u3068\u3044\u3046": [3, 6, 9, 12, 16, 25, 26], "\u4e8c\u3064": 3, "\u5fc5\u8981": [3, 6, 7, 9, 11, 12, 15, 16, 18, 19, 22, 25, 27, 28, 29], "\u306b\u5bfe\u5fdc": [3, 29], "\u3057\u3070\u3057\u3070": 3, "\u30c0\u30d6\u30eb\u30ec\u30a4\u30e4\u30fc": 3, "double": 3, "layered": 3, "\u30c0\u30d6\u30eb\u30ec\u30a4\u30e4\u30fc\u30c6\u30f3\u30bd\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af": 3, "\u975e\u5e38": [3, 28], "\u5927\u304d": [3, 28], "\u30b3\u30b9\u30c8": [3, 6, 28], "\u3002mps": 3, "\u5c40\u6240": [3, 15, 16, 29], "\u69cb\u6210": [3, 13], "\u8ee2\u9001": [3, 7, 9, 13, 15, 16], "\u52b9\u7387": [3, 6], "\u3002\u3057\u304b\u3057": 3, "tps": 3, "\u53b3\u5bc6": [3, 6], "\u5c0f\u3055\u3044": [3, 6, 28], "\u30af\u30e9\u30b9\u30bf\u30fc": 3, "\u534a\u5f84": 3, "\u30b7\u30ea\u30f3\u30c0\u30fc": 3, "\u9664\u3044": 3, "\u307b\u307c": [3, 6, 27, 28], "\u4e0d\u53ef\u80fd": 3, "\u89d2\u8ee2": [3, 9, 14, 15, 16], "\u9001\u884c": [3, 9, 14, 15, 16], "\u5217\u7e70\u308a\u8fbc\u307f": 3, "\u7fa4\u6cd5": 3, "\uff08corner": 3, "transfer": [3, 24], "renormalization": 3, "group": [3, 9, 12, 16, 21, 29], "ctmrg": [3, 24], "[ctmrg": 3, "\u30a8\u30c3\u30b8\u30c6\u30f3\u30bd\u30eb": 3, "\u65b9\u6cd5": [3, 6, 22, 29], "\u63a1\u7528": [3, 6], "\u4f7f\u3063": [3, 13, 28], "\u5358\u7d14": 3, "\u5217\u8868": 3, "\u30c6\u30f3\u30bd\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u30c0\u30a4\u30a2\u30b0\u30e9\u30e0": 3, "\u3068\u8868\u3055": 3, "\u592a\u7dda": 3, "\\chi": [3, 9, 14, 15, 16], "\u5438\u53ce": [3, 20], "\u3044\u304f": [3, 6, 25], "\u305d\u308c\u3089": 3, "\u30a2\u30c3\u30d7\u30c7\u30fc\u30c8": 3, "\u53ce\u675f": [3, 7, 9, 14, 15, 16, 27], "\u307e\u3067": [3, 9, 24, 27], "\u7e70\u308a\u8fd4\u3057": 3, "move": 3, "\u624b\u7d9a\u304d": 3, "\u73fe\u308c\u308b": [3, 28], "\u30d7\u30ed\u30b8\u30a7\u30af\u30bf\u30fc": 3, "\u3044\u304f\u3064\u304b": [3, 6, 11, 25, 26, 28], "\u81ea\u7531\u5ea6": 3, "\u6e1b\u3089": [3, 27], "\u50cd\u304d": 3, "(\\": [3, 8, 9, 12, 14, 15, 16, 28], "chi": [3, 9, 14, 15, 16], "\u30b9\u30b1\u30fc\u30eb": 3, "\u3053\u3053\u3067": [3, 9, 15, 16, 17, 25, 26, 27, 29], "\u6ce8\u610f": [3, 9, 14, 15, 16, 24, 25, 26], "\u304f\u3060": [3, 5, 9, 13, 14, 15, 16, 18, 20, 21, 23, 24, 25, 26], "\u3055\u3044": [3, 5, 9, 13, 14, 15, 16, 18, 20, 21, 23, 24, 25, 26], "propto": [3, 29], "(d": [3, 15], "\u306e\u3088\u3046": [3, 9, 12, 16, 17, 28], "\u6bd4\u4f8b": 3, "\u5897\u3084": [3, 6], "\u6761\u4ef6": [3, 9, 16, 17], "})": [3, 8, 9, 14, 15, 16, 28], "\u30e1\u30e2\u30ea": 3, "\u8ff0\u3079": 3, "\u5f97\u308b": 3, "\u758e\u884c": 3, "\u7279\u7570": [3, 9, 14, 15, 16], "\u5024\u5206": 3, "\uff08svd": 3, "\u4ee3\u308f\u308a": [3, 6], "\u5bc6\u884c": [3, 7, 9, 15, 16], "svd": [3, 9, 14, 15, 16], "\u3068\u306a\u308a": [3, 9, 12, 15, 16], "\u3044\u3063": 3, "\u305f\u3093": 3, "\u5f97\u308c": 3, "|s": 3, "^z": [3, 8, 9, 12, 15, 16, 17, 24, 25, 26, 27, 29], "\u8868\u308f": 3, "\u6700\u8fd1": [3, 15, 24, 29], "\u63a5\u76f8": [3, 24], "_is": [3, 9, 12, 16], "}|": 3, "\u3002\u307e\u305f": [3, 6, 27], "\u756a\u76ee": 3, "\u4efb\u610f": [3, 19], "\u6f14\u7b97\u5b50": [3, 8, 9, 11, 12, 13, 14, 15, 16, 24, 25, 26, 28, 30], "\u3067\u304d\u308b": [3, 21], "\u304c\u308f\u304b\u308a": [3, 25, 27, 28, 29], "\u30c0\u30a4\u30b0\u30e9\u30e0": 3, "\u5927\u304d\u304f": [3, 24, 25, 28], "\u306a\u308b": [3, 6, 9, 12, 13, 15, 16, 17, 24, 25, 26, 29], "\u3068\u305d\u306e": 3, "\u83ab\u5927": 3, "\u6700\u5c0f": [3, 6], "\u30a8\u30cd\u30eb\u30ae\u30fc": [3, 6, 9, 12, 16, 24, 26, 27, 29], "frac": [3, 9, 12, 15, 16, 27], "mathcal": [3, 9, 12, 14, 15, 16, 21, 29], "{h": [3, 9, 12, 14, 15, 16, 21, 29], "}{": [3, 9, 12, 15, 16, 27], "},": [3, 8, 9, 16], "\u4e0e\u3048\u308b": [3, 15], "\\mathcal": [3, 9, 12, 15, 16, 29], "\u5bfe\u8c61": 3, "\u865a\u6642\u9593": [3, 9, 14, 15, 16, 27], "\uff08the": 3, "imaginary": [3, 20, 21, 24], "evolution": [3, 10, 11, 14, 15, 16, 17], "ite": 3, ")\uff09": 3, "variational": 3, "optimization": 3, "\u624b\u6cd5": [3, 9, 14, 15, 16], "\u3046\u3061": [3, 15, 28], "\u524d\u8005": [3, 6], "\u7bc4\u56f2": [3, 8, 9, 12, 16], "\u865a\u6642": [3, 21], "{itps": 3, "rangle": [3, 9, 13, 16, 17, 24, 25, 26, 27, 28], "simeq": 3, "-t": [3, 15, 28], "\u8003\u3048": [3, 29], "\u521d\u671f": [3, 6, 7, 9, 14, 15, 16, 17, 25, 27, 29], "\u3082\u3057": 3, "\u5341\u5206": [3, 27], "\u5927\u304d\u3051\u308c": 3, "\u5de6\u8fba": 3, "\u826f\u3044": [3, 6, 9, 12, 16], "\u77ed\u8ddd": 3, "\u4e8c\u4f53": 3, "\u76f8\u4e92": [3, 9, 12, 15, 16, 28], "\u4f5c\u7528": [3, 9, 12, 15, 16, 28, 29], "\\{(": 3, ",j": [3, 16, 29], ")\\": [3, 9, 14, 15, 16], "}}h": 3, "ij": [3, 9, 12, 15, 16, 21, 28, 29], "\u8868\u3055": [3, 9, 12, 15, 16], "\u523b\u307f": [3, 9, 14, 15, 16, 24, 27], "\\tau": [3, 9, 14, 15, 16, 21, 27], "\u9593\u767a": [3, 9, 14, 15, 16, 21, 25], "\u5c55\u6f14": [3, 9, 14, 15, 16, 21], "\u7b97\u5b50": [3, 9, 13, 14, 15, 16, 21], "suzuki": 3, "-trotter": 3, "\u5206\u89e3": 3, "-\\": [3, 13, 28], "tau": [3, 9, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "prod": 3, ").": 3, "\u4e00\u6b21": 3, "\u3088\u308a": [3, 6, 27, 28], "\u3002suzuki": 3, ")^": [3, 15], "{n": [3, 15, 28], "),": [3, 8, 9, 15, 16], "\u66f8\u304d\u4e0b\u3059": 3, "= t": 3, "\u3067\u306e": 3, "\u30b9\u30c6\u30c3\u30d7": [3, 9, 14, 15, 16, 27], "\u53f3\u8fba": 3, "\\prod": 3, "\u90e8\u5206": 3, "\u96c6\u5408": [3, 9, 12, 16, 29], "\u304a\u4e92\u3044": 3, "\u4ea4\u63db": [3, 15], "\u3068\u3057": [3, 9, 12, 15, 16, 17, 24, 25, 26, 27], "\u4e92\u4f5c": [3, 28], "\u65b0\u3057\u3044": 3, "in": [3, 11, 21, 24, 25, 27, 29], "{subset": 3, "}_": [3, 8, 9, 12, 13, 15, 16, 21, 24, 25, 26, 27, 29], "}}e": 3, "\u3068\u3053\u306e": 3, "\u3092\u304b\u3051\u308b": 3, "\u5897\u5927": 3, "\u3057\u307e\u3046": [3, 6], "\u304c\u3063": 3, "\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3": 3, "\u5b89\u5b9a": 3, "\u7d99\u7d9a": 3, "\u4e00\u5b9a\u5024": 3, "\u6bce\u56de": 3, "\u6253\u3061\u5207\u308b": 3, "truncate": 3, "\u7d20\u6734": 3, "\u6253\u3061\u5207\u308a": 3, "\u5316\u554f": 3, "\\min": 3, "vert": 3, "\u89e3\u304f": 3, "\u884c\u3048": 3, "\u554f\u984c": [3, 5, 6, 13, 25], "\u975e\u7dda": 3, "\u5f62\u554f": 3, "\u81a8\u5927": 3, "\u3057\u307e\u3044": [3, 28], "\u305d\u3053": 3, "\u4e00\u3064": [3, 6, 9, 14, 15, 16], "\u305d\u308c": [3, 6, 23, 27, 28], "\u63a2\u3059": 3, "\u6bd4\u8f03": [3, 6, 26], "\u6570\u500b": 3, "\u5909\u66f4": [3, 5, 11, 25, 27, 28], "\u4e00\u6b21\u5143": 3, "\u4e8c\u4e57": 3, "\u30ce\u30eb\u30e0": [3, 13], "\\left": [3, 9, 12, 13, 16, 21], "\u4f7f\u3046": [3, 9, 12, 14, 15, 16, 23, 29], "[ite": 3, "\u65b0\u3057\u304f": 3, "\u7834\u3063": 3, "\u5834\u6240": 3, "\u30b3\u30d4\u30fc": [3, 11, 13, 15, 16, 29], "full": [3, 6, 9, 13, 14, 15, 16, 24], "update": [3, 6, 9, 13, 14, 15, 16, 24, 27], "\u5927\u90e8": 3, "\u5fdc\u3058": 3, "simple": [3, 6, 9, 13, 14, 15, 16, 20, 24, 25, 26, 27], "\u5316\u624b": [3, 7, 9, 15, 16], "\u3002simple": 3, "\u91cd\u3044": 3, "\u907f\u3051\u308b": 3, "\u6ce2\u52d5\u95a2\u6570": 3, "\u5168\u4f53": [3, 9, 16, 17, 29], "[simpleupdate": 3, "\\lambda": [3, 9, 14, 15, 16], "\u975e\u8ca0": 3, "\u5bfe\u89d2": [3, 6, 7, 9, 12, 15, 16], "\u3053\u308c": [3, 27, 28, 29], "\u7121\u8996": 3, "\u74b0\u5883": [3, 9, 14, 15, 16, 22, 24], "\u5e73\u5747": [3, 9, 14, 15, 16, 27], "\u5177\u4f53": [3, 9, 12, 16], "\u4e00\u4f53": [3, 9, 12, 16], "\u30e9\u30f3\u30af": 3, "\u898b\u505a\u3059": 3, "\u3068\u8868\u3059": 3, "\u9014\u4e2d": [3, 6], "\u5e73\u5747\u5834": [3, 9, 14, 15, 16], "\u5229\u7528": [3, 6, 11, 13, 19, 23, 27, 28, 29], "qr": 3, "\u884c\u3046": [3, 6, 23, 25, 26, 27, 28], "[qr": 3, "\u3082\u305a\u3063\u3068": 3, "\u8efd\u304f": [3, 27], "\u305f\u3060\u3057": [3, 6], "\u4f9d\u5b58": [3, 13, 15, 23, 24, 26, 27, 28], "\u5f37\u304f": [3, 25], "\u6700\u7d42": [3, 9, 14, 15, 16, 24, 29], "\u5927\u304d\u3055": [3, 7, 9, 12, 15, 16, 17, 24, 25, 26, 27, 28], "\u904e\u5270": 3, "\u8a55\u4fa1": 3, "\u77e5\u3089": [3, 28], "\u672a\u77e5": 3, "\u614e\u91cd": 3, "\u691c\u8a3c": 3, "\u6642\u523b": [3, 13], "\u306b\u304a\u3051\u308b": [3, 9, 14, 15, 16, 17, 25], "(t": [3, 9, 14, 15, 16], "it": [3, 9, 14, 15, 16], "\u9055\u3044": 3, "\u6307\u6570": 3, "-it": 3, "\u304b\u3060\u3051": 3, "\u306e\u3067": [3, 9, 12, 16, 26], "\u3067\u3082": [3, 6, 9, 14, 15, 16, 27], "\u5168\u304f": 3, "\u30a8\u30f3\u30bf\u30f3\u30b0\u30eb\u30e1\u30f3\u30c8": [3, 25], "\u9032\u3080": [3, 25], "\u306b\u3064\u308c": [3, 24, 25], "\u5411\u304b\u3046": 3, "\u904e\u7a0b": [3, 7, 9, 15, 16, 22, 30], "\u6975\u7aef": [3, 29], "\u8a18\u8ff0": [3, 9, 12, 14, 15, 16, 17, 27, 28, 29], "\u7834\u7dbb": 3, "\u4f4e\u3044": [3, 6], "\u5178\u578b": [3, 6], "\u56fa\u6709": [3, 7, 9, 13, 15, 16], "\uff09\u3001": 3, "\u3068\u3068\u3082": 3, "\u4fdd\u3064": 3, "\u9577\u6642\u9593": 3, "\u306a\u308c": 3, "\u307b\u3069": [3, 27, 28], "\u307e\u305b": [3, 6, 7, 9, 13, 14, 15, 16, 18, 20, 21, 28], "\u3082\u3061\u308d\u3093": 3, "\u5206\u8a08": 3, "\u73fe\u5b9f": [3, 28], "\u8cc7\u6e90": 3, "\u3088\u304f": [3, 6], "\u77ed\u6642\u9593": 3, "\u9650\u5b9a": 3, "\u30e2\u30c7\u30eb": [3, 24, 25, 26], "\u7a0b\u5ea6": [3, 24, 26, 27], "\u9650\u754c": 3, "\u591a\u3044": [3, 27], "\u3082\u3046": [3, 9, 16, 17], "\u518d\u73fe": 3, "\u305f\u3044": [3, 6, 9, 15, 16, 17, 19, 23], "\u73fe\u8c61": 3, "\u7279\u5fb4": [3, 28], "\u884c\u3063": [3, 6, 27], "\u5230\u9054": 3, "\u3044\u308c": 3, "\u6b63\u3057\u3044": [3, 6], "\u7d4c\u8def": 3, "\u304b\u3089": [3, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 19, 21, 23, 24, 27, 28, 29], "\u591a\u5c11": 3, "\u305a\u308c": [3, 15, 29], "\u5927\u304d\u306a": [3, 15], "\u751f\u3058": [3, 5, 27], "\u4e00\u65b9": [3, 24, 28], "\u3082\u306e": [3, 6, 8, 9, 12, 15, 16, 27], "\u8208\u5473": 3, "\u601d\u308f": 3, "\\delta": 3, "\u5c0f\u3055\u304f": [3, 24], "\u72b6\u6cc1": [3, 24], "\u30bb\u30af\u30b7\u30e7\u30f3": [3, 7, 8, 10, 11, 21, 26, 27, 28], "\u7de8\u96c6": [3, 18, 21], "\u7d14\u7c8b": 3, "\u6df7\u5408": 3, "\\rho": [3, 9, 14, 15, 16], "{e": 3, "}{\\": 3, "{tr": 3, "\\beta": [3, 13], "\u9006\u6e29": [3, 9, 13, 14, 15, 16, 26], "=\\": 3, "rho": [3, 9, 14, 15, 16], ")_": 3, "',": 3, "'}": 3, "'\\": 3, "\u4e00\u822c\u5316": 3, "\u7a4d\u6f14": 3, "\uff08matrix": 3, "operator": 3, "(mpo": 3, "{mpo": 3, "']": 3, "\u3067\u8868\u3059": 3, "\u66f8\u304f": [3, 29], "impo": 3, "\u8868\u3059": [3, 8, 9, 12, 16, 25, 26, 29], "\u4e8c\u6b21\u5143": 3, "iipo": 3, "[tpo": 3, "itpo": 3, "= e": 3, "}/": [3, 15, 24, 27], "\u5bc6\u5ea6": [3, 28], "\u5358\u4f4d": [3, 24], "\u6027\u8cea": 3, "\"\u7dda": 3, "\u4e26\u3076": 3, "\u306b\u5bfe\u3059\u308b": [3, 9, 14, 15, 16, 20, 29], "\u307e\u307e": [3, 11, 15], "\uff08tenes": 3, "\u73fe\u6642\u70b9": 3, "\u306e\u307f": [3, 8, 9, 14, 15, 16, 29], "\u30b5\u30dd\u30fc\u30c8": 3, "\uff09\u3002": [3, 9, 23, 29], "{itpo": 3, "\u3001\uff08": [3, 28], "\u3084\u3059": 3, "\u304a\u3051\u308b": [3, 9, 16, 17, 28, 29], "\u4e00\u756a": [3, 6, 15], "\u5024\u8a08": 3, "_\\": [3, 8, 9, 15, 16, 17, 28], "\u4e0a\u4e0b": 3, "\u3064\u306a\u3050": [3, 9, 12, 16], "\u76f8\u5f53": 3, "\u3064\u306a\u3052": 3, "\u5206\u6bcd": 3, "\u73fe\u308c": [3, 6, 27], "\u5143\u6b63": 3, "\u65b9\u683c\u5b50": 3, "\u69cb\u9020": [3, 27, 28], "\u6bd4\u3079": 3, "\u539f\u56e0": [3, 13], "\u9ed2\u4e38": 3, "\u793a\u3057": [3, 9, 11, 12, 15, 16, 25, 26, 29], "\u306e\u307e\u307e\u3067": 3, "\u7570\u306a\u308a": [3, 9, 13, 27], "\u5897\u3084\u305b": 3, "\u5927\u5e45": 3, "\u4e00\u65e6": 3, "\u3067\u304d\u308c": 3, "\u542b\u3093": 3, "\u6700\u5f8c": [3, 9, 12, 13, 15, 16, 19, 24, 28], "\u6b20\u70b9": 3, "\u89e6\u308c": 3, "\u304a\u304d": [3, 9, 12, 16, 25], "\u30a8\u30eb\u30df\u30fc\u30c8": 3, "\u534a\u6b63": 3, "\u5b9a\u5024": 3, "\u4fdd\u8a3c": [3, 6], "\u306a\u3044": [3, 6, 7, 8, 9, 12, 15, 16, 18, 21, 23, 25, 27, 28, 29], "\u4f4e\u304f": 3, "\u305f\u308a": 3, "\u3068\u3044\u3063": 3, "\u975e\u7269": 3, "\u7406\u7684": 3, "\u632f\u308b": [3, 26], "\u821e\u3044": [3, 26], "\u6539\u5584": 3, "\u56de\u907f": 3, "\u56de\u5fa9": 3, "\u4e0a\u3052\u308b": 3, "\uff08purification": 3, "\u63d0\u6848": 3, "[purification": 3, "\u6271\u3048\u308b": 3, "\u76f4\u63a5": [3, 18, 19, 24, 25, 26], "\u53c2\u8003": [3, 25, 27, 28], "\u6587\u732e": [3, 25, 28], "or": [3, 9, 12, 13, 14, 15, 16, 17], "\u00fas": 3, "practical": 3, "introduction": 3, "to": [3, 21, 23, 24], "networks": 3, "projected": 3, "entangled": 3, "pair": 3, "annals": 3, "physics": 3, "link": [3, 25, 28], "complex": [3, 24], "nature": 3, "review": 3, "\u897f\u91ce": 3, "\u53cb\u5e74": 3, "\u5927\u4e45": 3, "\u4fdd\u6bc5": 3, "\u5f62\u5f0f": [3, 9, 11, 12, 15, 16], "\u9032\u5c55": 3, "\u5fdc\u7528": 3, "\u65e5\u672c\u7269\u7406\u5b66": 3, "\u4f1a\u8a8c": 3, "\u60c5\u5831": [3, 5, 7, 8, 9, 11, 13, 15, 16, 17, 18, 20, 24, 27], "\u5727\u7e2e": 3, "\u30d5\u30e9\u30b9\u30c8\u30ec\u30fc\u30c8": 3, "\u78c1\u6027": [3, 15, 30], "\u30fb\u96fb\u5b50\u7248": 3, "schollwc": 3, "\u00f6k": 3, "density": [3, 24, 27], "-matrix": 3, "age": 3, "nishino": 3, "okunishi": 3, "corner": [3, 24], "method": 3, "soc": 3, "jpn": 3, "; r": 3, "vidal": 3, "simulation": 3, "two": [3, 9], "-dimensional": 3, "on": 3, "an": 3, "revisited": 3, "contraction": 3, "rev": [3, 9, 14, 15, 16, 25, 28], "corboz": 3, "et": 3, "al": 3, "competing": 3, "-j": [3, 23, 29], "model": [3, 10, 11, 20, 24, 25, 26, 27, 28], "uniform": 3, "-wave": 3, "versus": 3, "stripe": 3, "lett": [3, 25, 28], "jordan": 3, "classical": 3, "-size": 3, "spatial": 3, "dimensions": [3, 9, 21], "jiang": 3, "accurate": 3, "determination": 3, "models": 3, "wang": 3, "monte": 3, "carlo": 3, "with": [3, 24, 27], "kshetrimayum": 3, "rizzi": 3, "eisert": 3, "annealing": 3, "algorithm": 3, "thermal": 3, "czarnik": 3, "dziarmaga": 3, "time": [3, 9, 14, 15, 16, 20, 21, 24, 25], "efficient": 3, "from": [3, 24, 27], "first": [3, 21], "principles": 3, "\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0": [4, 22], "itps": [4, 22, 28], "\u7e2e\u7d04": [4, 22], "\u6700\u9069": [4, 9, 14, 15, 16, 22], "\u5b9f\u6642": [4, 9, 14, 15, 16, 22, 30], "\u9593\u767a\u5c55": [4, 22, 30], "\u8868\u73fe": [4, 9, 12, 15, 16, 17, 22, 25, 29], "\u306b\u95a2\u3059\u308b": [5, 7, 8, 9, 12, 14, 15, 16], "\u554f\u3044\u5408\u308f\u305b": 5, "\u3053\u3061\u3089": 5, "\u306b\u304a\u5bc4\u305b\u304f": 5, "\u3060\u3055\u3044": [5, 15, 19, 23, 24], "\u8cea\u554f": [5, 6], "\u30fb\u30d0\u30b0": 5, "\u5831\u544a": 5, "\u30d0\u30b0": 5, "\u95a2\u9023": 5, "github": [5, 23], "issues": 5, "\u53d7\u3051\u4ed8\u3051": 5, "\u65e9\u671f": 5, "\u89e3\u6c7a": 5, "\u30ac\u30a4\u30c9\u30e9\u30a4\u30f3": 5, "\u5f93\u3063": [5, 23], "\u4f7f\u7528": [5, 9, 22, 23, 25, 26], "\u30aa\u30da\u30ec\u30fc\u30c6\u30a3\u30f3\u30b0\u30b7\u30b9\u30c6\u30e0": 5, "\u30b3\u30f3\u30d1\u30a4\u30e9": 5, "\u540d\u524d": [5, 7, 8, 9, 12, 13, 14, 15, 16, 17, 20, 21, 29], "\u8a18\u8f09": [5, 19], "\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb": [5, 22, 24], "cmake": [5, 23], "make": [5, 23], "\u5b9f\u884c": [5, 9, 13, 14, 15, 16, 19, 23, 24, 25, 26, 27, 28], "\u5165\u51fa": 5, "cmakecache": 5, ".txt": 5, "\u4e00\u7dd2": [5, 6, 26], "\u51fa\u529b": [5, 10, 11, 18, 20, 21, 22, 24, 25, 26, 27], "\u30c8\u30d4\u30c3\u30af": 5, "\u516c\u958b": 5, "\u76f8\u8ac7": 5, "\u3057\u3065\u3089\u3044": 5, "\u554f\u3044\u5408\u308f\u305b\u308b": 5, "\u9023\u7d61": 5, "\u30b3\u30f3\u30bf\u30af\u30c8": 5, "-mail": 5, "-dev": [5, 23], "__": 5, "at": [5, 9, 14, 15, 16], "issp": 5, ".u": 5, "-tokyo": 5, ".ac": 5, ".jp": 5, "(_": 5, "\u3042\u305f\u308a": [6, 13, 24], "\u5bc4\u305b": 6, "\u56de\u7b54": 6, "\u7d39\u4ecb": [6, 24, 25, 26, 27, 28], "q1": 6, "\u56de\u6570": [6, 7, 9, 14, 15, 16], "\u3068\u308c": 6, "\u3070\u3044\u3044": 6, "a1": 6, "\u4e0a\u304c\u308a": 6, "\u304b\u304b\u308b": [6, 9, 12, 16], "\u3002full": 6, "\u6027\u80fd": 6, "\u517c\u306d\u5408\u3044": 6, "\u306b\u3088\u3063\u3066": [6, 7, 9, 15, 16, 23], "\u6c7a\u3081\u308b": [6, 15], "\u3088\u3044": 6, "\u3067\u3057\u3087": 6, "\u69d8\u5b50": [6, 25, 27], "\u898b\u308b": [6, 25, 26, 27, 29], "\u306f\u3058\u3081": [6, 9, 16, 17], "\u307f\u308b": [6, 27, 29], "\u884c\u3044": [6, 9, 11, 14, 15, 16, 23, 25], "\u8fd1\u3065\u3044": 6, "\u8907\u96d1": 6, "\u6db2\u4f53": 6, "\u8fd1\u3065\u3051": 6, "q2": 6, "a2": 6, "\u5f90\u3005": [6, 24], "\u8fd1\u3065\u304f": 6, "\u306f\u305a": [6, 27], "\u591a\u3051\u308c": 6, "\u60aa\u304f": [6, 23], "\u3046\u307e\u304f\u3044\u3063": 6, "\u304b\u3069\u3046": [6, 7, 9, 14, 15, 16, 23], "\u5909\u3048": [6, 27], "\u30d7\u30ed\u30c3\u30c8": [6, 25], "\u3068\u308f\u304b\u308a": 6, "\u3002update": 6, "\u3068\u3053\u308d": [6, 27], "\u65b9\u91dd": 6, "\u5909\u308f\u3089": 6, "\u9650\u308a": 6, "q3": 6, "a3": 6, "\u5897\u3084\u3059": [6, 27, 28], "\u4e0a\u304c\u308b": 6, "\u9577\u304f": 6, "\u6a5f\u74b0": 6, "\u6c42\u3081": [6, 27], "\u8981\u6c42": 6, "\u30d0\u30e9\u30f3\u30b9": 6, "\u307f\u3066": 6, "\u5909\u5316": [6, 24, 27], "\u305b\u308b": [6, 27], "\u3068\u304d": [6, 7, 9, 15, 16, 17, 24, 27], ".virtual": 6, "_dim": [6, 9, 15, 16, 17, 20, 21, 24, 25, 26, 27, 29], "parameter": [6, 10, 11, 20, 21, 24, 25, 26, 27, 29], ".ctm": [6, 20, 21, 24, 25, 26, 27, 29], ".dimension": 6, "\u9023\u52d5": 6, "\u52d5\u304b\u3059": 6, "\u91cd\u8981": 6, "\u5f8c\u8005": 6, "\u4ee5\u4e0a": [6, 9, 12, 15, 16, 17], "\u53d6\u308a": [6, 18, 20, 21], "q4": 6, "\u6b63\u3057": 6, "\u691c\u8a0e": 6, "\u3069\u3046": [6, 11], "\u3059\u308c": 6, "\u78ba\u5b9f": 6, "\u96e3\u3057\u3044": [6, 26], "\u4e71\u6570": [6, 9, 14, 15, 16, 17], "\u8907\u6570": [6, 9, 12, 16, 17, 21], "\u7528\u610f": [6, 19, 25, 26], "\u78ba\u8a8d": [6, 23, 25, 28], "\u30c1\u30a7\u30c3\u30af": 6, "\u304b\u304b\u308a": [6, 28], "\u5916\u5834": 6, "\u304b\u3051": [6, 27], "\u5019\u88dc": 6, "\u914d\u7f6e": 6, "\u6709\u52b9": 6, "\u30e6\u30cb\u30c3\u30c8\u30bb\u30eb": [6, 8, 9, 15, 16, 17, 27, 28, 30], "\u30b5\u30a4\u30ba": [6, 7, 9, 12, 15, 16], "\u4ed6\u624b": 6, "\u3082\u304a\u52e7\u3081": 6, "\u3002(": 6, "\u4f7f\u3048": [6, 28], "\u3002)": 6, "\u76f8\u95a2\u9577": [7, 9, 11, 13, 15, 16], "\\xi": [7, 9, 13, 15, 16], "\u6307\u5b9a": [7, 8, 9, 12, 14, 15, 16, 17, 20, 21, 27, 28, 29], "\u8aac\u660e": [7, 8, 9, 11, 12, 14, 15, 16, 17, 19, 29], "\u30c7\u30d5\u30a9\u30eb\u30c8": [7, 9, 14, 15, 16, 17, 20, 21, 23], "measure": [7, 9, 13, 14, 15, 16, 26], "\u6e2c\u308b": [7, 8, 9, 15, 16], "\u771f\u507d\u5024": [7, 9, 14, 15, 16], "false": [7, 9, 13, 14, 15, 16, 24, 26], "num": [7, 9, 14, 15, 16, 20, 21, 23, 24, 25, 26, 27, 29], "_eigvals": [7, 9, 15, 16], "\u6574\u6570": [7, 8, 9, 12, 14, 15, 16, 17, 29], "maxdim": [7, 9, 15, 16], "_dense": [7, 9, 15, 16], "_eigensolver": [7, 9, 15, 16], "\u5bc6\u884c\u5217": [7, 9, 15, 16], "\u6700\u5927": [7, 8, 9, 14, 15, 16], "arnoldi": [7, 9, 15, 16], "_maxdim": [7, 9, 15, 16], "\u751f\u6210": [7, 9, 11, 14, 15, 16, 19, 20, 21], "hessenberg": [7, 9, 15, 16], "_restartdim": [7, 9, 15, 16], "\u30ea\u30b9\u30bf\u30fc\u30c8": [7, 9, 15, 16], "\u30d9\u30af\u30c8\u30eb": [7, 9, 15, 16], "\u672c\u6570": [7, 9, 15, 16], "_maxiterations": [7, 9, 15, 16], "\u30a4\u30c6\u30ec\u30fc\u30b7\u30e7\u30f3": [7, 9, 15, 16], "_rtol": [7, 9, 15, 16], "\u76ee\u6307\u3059": [7, 9, 15, 16], "\u76f8\u5bfe": [7, 9, 13, 15, 16], "\u6b8b\u5dee": [7, 9, 15, 16], "\u5b9f\u6570": [7, 9, 12, 14, 15, 16, 17], "1e": [7, 9, 13, 14, 15, 16], "\u5217\u5bfe": [7, 9, 15, 16], "\u89d2\u5316": [7, 9, 15, 16], "?geev": [7, 9, 15, 16], "\u30eb\u30fc\u30c1\u30f3": [7, 9, 15, 16], "\u305d\u3046": [7, 9, 12, 15, 16], "implicit": [7, 9, 15, 16], "restart": [7, 9, 15, 16], "ira": [7, 9, 15, 16], "\u65b0\u305f": [7, 9, 11, 15, 16], "arnodi": [7, 9, 15, 16], "\u3084\u308a": [7, 9, 15, 16], "\u76f4\u3057": [7, 9, 15, 16], ")\u3002": [7, 9, 15, 16, 17, 19, 24, 25, 26, 27, 29], "\u591a\u304f": [7, 9, 15, 16, 18], "boldsymbol": [8, 9, 16, 28], "{r": [8, 9, 16], ")b": [8, 9, 16], "+\\": [8, 9, 16], "\u7701\u7565": [8, 9, 12, 15, 16], "\u308c\u307e\u305b": [8, 9, 15, 16], "\u5ea7\u6a19": [8, 9, 12, 13, 15, 16, 20, 29], "\u6e2c\u3089": [8, 9, 16], "\u3002\u3059": [8, 9, 16], "\u306a\u308f\u3061": [8, 9, 16], "\u53f3\u96a3": [8, 9, 16, 29], "\\boldsymbol": [8, 9, 16, 28], "\u771f\u4e0a": [8, 9, 16], "\u4e2d\u5fc3": [8, 9, 15, 16], "\u3059\u3079": [8, 9, 16, 17], "\u5e73\u884c": [8, 9, 16], "\u65b9\u5411": [8, 9, 13, 15, 16, 17, 27, 28, 29], "\u5411\u304d": [8, 9, 13, 16], "\u52d5\u304d": [8, 9, 16], "text": [8, 9, 15, 16, 28], "{max": [8, 9, 15, 16], "_max": [8, 9, 13, 14, 15, 16, 24, 25, 26, 27, 29], "\u8ddd\u96e2": [8, 9, 16], "operators": [8, 9, 13, 16, 21, 24], "\u756a\u53f7": [8, 9, 12, 13, 14, 15, 16, 17, 20, 21, 29], "\u30ea\u30b9\u30c8": [8, 9, 12, 14, 15, 16, 17], "observable": [8, 10, 11, 13, 21, 24, 25, 26, 29], ".onesite": [8, 21, 29], "^x": [8, 9, 15, 16, 17, 24, 25, 26], "[correlation": [8, 9, 16], "]]": [8, 9, 12, 16, 21, 29], "(r": [8, 9, 15, 16, 28], "le": [8, 9, 12, 16], "\u6e2c\u5b9a": [8, 9, 11, 14, 15, 16], "\u30d5\u30a1\u30a4\u30eb\u30d5\u30a9\u30fc\u30de\u30c3\u30c8": [9, 15, 16, 19, 22], "toml": [9, 11, 15, 16, 21, 23, 24, 27, 28], "5\u3064": [9, 16], "\u6301\u3061": [9, 12, 14, 15, 16, 17], "\u66f4\u65b0": [9, 14, 15, 16], "\u3042\u3089\u308f": [9, 14, 15, 16], "\u7a2e\u3005": [9, 14, 15, 16], "\u30d1\u30e9\u30e1\u30fc\u30bf": [9, 11, 13, 14, 15, 16, 21, 24, 27, 28], "ctm": [9, 13, 14, 15, 16], "random": [9, 14, 15, 16, 27], "\u5168\u822c": [9, 14, 15, 16], "\u8a2d\u5b9a": [9, 12, 14, 15, 16, 24, 27, 28], "mode": [9, 13, 14, 15, 16, 25, 26], "\u30e2\u30fc\u30c9": [9, 10, 14, 15, 16], "\u6587\u5b57\u5217": [9, 12, 14, 15, 16, 29], "\"ground": [9, 14, 15, 16], "is": [9, 13, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "_real": [9, 13, 14, 15, 16, 20, 21, 24, 26, 27, 29], "\u3059\u3079\u3066": [9, 12, 14, 15, 16, 17, 29], "iszero": [9, 13, 14, 15, 16], "_tol": [9, 13, 14, 15, 16], "\u8aad\u307f\u8fbc\u307f": [9, 14, 15, 16, 25], "\u306b\u304a\u3044": [9, 14, 15, 16], "\u30bc\u30ed": [9, 12, 14, 15, 16, 17, 29], "\u307f\u306a\u3059": [9, 14, 15, 16], "\u7d76\u5bfe": [9, 13, 14, 15, 16, 28], "\u30ab\u30c3\u30c8\u30aa\u30d5": [9, 14, 15, 16], "\u304a\u3044": [9, 14, 15, 16, 18], "true": [9, 13, 14, 15, 16, 20, 21, 24, 25, 27, 29], "_interval": [9, 14, 15, 16, 26], "\u5b9f\u6642\u9593": [9, 10, 14, 15, 16, 25, 26], "\u983b\u5ea6": [9, 14, 15, 16], "output": [9, 13, 14, 15, 16, 24, 25, 26, 27, 29], "\u7269\u7406\u91cf": [9, 14, 15, 16], "\u66f8\u304d\u8fbc\u3080": [9, 14, 15, 16], "\u30c7\u30a3\u30ec\u30af\u30c8\u30ea": [9, 13, 14, 15, 16, 23, 24, 25, 26, 27, 28, 29], "\"output": [9, 14, 15, 16, 24, 27], "_save": [9, 13, 14, 15, 16, 25, 27, 29], "\u5316\u5f8c": [9, 14, 15, 16], "_load": [9, 13, 14, 15, 16, 25, 27, 29], "\u521d\u671f\u30c6\u30f3\u30bd\u30eb": [9, 14, 15, 16, 17], "\u8aad\u307f\u8fbc\u3080": [9, 14, 15, 16], "_std": [9, 10, 11, 14, 15, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29], "exp": [9, 14, 15, 16, 28], "(-": [9, 14, 15, 16, 17, 21], "\"time": [9, 14, 15, 16], "\"finite": [9, 14, 15, 16], "temperature": [9, 14, 15, 16, 26], "\u306b\u3059\u308b": [9, 14, 15, 16, 25, 26], "\u8907\u7d20": [9, 14, 15, 16], "\u30a8\u30e9\u30fc": [9, 12, 14, 15, 16, 17, 21, 23], "\u7d42\u4e86": [9, 12, 14, 15, 16, 17, 21, 23, 24, 25, 27, 28], "\u7a2e\u6f14": [9, 13, 14, 15, 16], "\u5b9f\u90e8": [9, 12, 13, 14, 15, 16, 29], "\u865a\u90e8": [9, 12, 13, 14, 15, 16, 29], "\u307f\u306a\u3057": [9, 14, 15, 16], "\u91cf\u8a08": [9, 14, 15, 16], "\u4fdd\u5b58": [9, 13, 14, 15, 16, 25, 26, 27, 29], "\u30b9\u30ad\u30c3\u30d7": [9, 14, 15, 16], ".dat": [9, 14, 15, 16, 20, 24, 25, 26, 27, 29], "\u7a7a\u6587": [9, 14, 15, 16], "\u5b57\u5217": [9, 14, 15, 16], "\u30ab\u30ec\u30f3\u30c8\u30c7\u30a3\u30ec\u30af\u30c8\u30ea": [9, 14, 15, 16], "(\u865a": [9, 14, 15, 16], "_step": [9, 13, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "lambda": [9, 13, 14, 15, 16], "_cutoff": [9, 13, 14, 15, 16], "\u5207\u308a": [9, 14, 15, 16], "\u95be\u5024": [9, 14, 15, 16], "gauge": [9, 14, 15, 16], "_fix": [9, 13, 14, 15, 16], "\u30b2\u30fc\u30b8": [9, 14, 15, 16], "\u56fa\u5b9a": [9, 14, 15, 16, 23], "_maxiter": [9, 13, 14, 15, 16], "\u64cd\u4f5c": [9, 14, 15, 16], "\u30eb\u30fc\u30d7": [9, 14, 15, 16], "_convergence": [9, 13, 14, 15, 16], "_epsilon": [9, 13, 14, 15, 16], "\u5224\u5b9a": [9, 14, 15, 16], "\u7d4c\u904e": [9, 14, 15, 16], "\u30fb\u9006\u6e29\u5ea6": [9, 14, 15, 16], "\u6c42\u3081\u308b": [9, 12, 14, 15, 16], "finite": [9, 14, 15, 16, 26], "calculation": [9, 14, 15, 16], "note": [9, 14, 15, 16], "that": [9, 14, 15, 16], "inverse": [9, 14, 15, 16, 26], "increase": [9, 14, 15, 16], "step": [9, 14, 15, 16, 20, 21], "because": [9, 14, 15, 16], "= u": [9, 14, 15, 16], "bar": [9, 14, 15, 16], "{u": [9, 14, 15, 16], "}(": [9, 14, 15, 16], "\u306a\u306e": [9, 14, 15, 16, 24, 25], "\u3054\u3068": [9, 12, 14, 15, 16, 24, 25, 29], "\u5897\u52a0": [9, 14, 15, 16, 27], "\u30b0\u30eb\u30fc\u30d7": [9, 14, 15, 16], "\u523b\u307f\u5e45": [9, 14, 15, 16, 25, 26, 27], "\u5909\u3048\u308b": [9, 14, 15, 16], "env": [9, 14, 15, 16], "cutoff": [9, 14, 15, 16], "_precision": [9, 13, 14, 15, 16], "\u64ec\u4f3c": [9, 14, 15, 16], "\u9006\u884c": [9, 14, 15, 16], "convergence": [9, 14, 15, 16], "truncation": [9, 14, 15, 16], "\u884c\u3046\u969b": [9, 14, 15, 16], "iteration": [9, 14, 15, 16, 24, 25, 26, 27, 29], "fastfullupdate": [9, 14, 15, 16], "fast": [9, 14, 15, 16], "dimension": [9, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "projector": [9, 14, 15, 16], "_corner": [9, 13, 14, 15, 16], "use": [9, 13, 14, 15, 16, 20, 24], "_rsvd": [9, 13, 14, 15, 16], "\u4e71\u629e": [9, 14, 15, 16], "\u7f6e\u304d": [9, 14, 15, 16], "\u63db\u3048\u308b": [9, 14, 15, 16], "rsvd": [9, 13, 14, 15, 16], "_oversampling": [9, 13, 14, 15, 16], "_factor": [9, 13, 14, 15, 16], "\u4e71\u629esvd": [9, 14, 15, 16], "\u6bd4\u7387": [9, 14, 15, 16], "meanfield": [9, 13, 14, 15, 16, 24, 25], "_env": [9, 13, 14, 15, 16, 24, 25], "\u5834\u74b0": [9, 14, 15, 16], "\u4e71\u62d3svd": [9, 14, 15, 16], "\u7e70\u308a\u8fbc\u307f": [9, 14, 15, 16], "igarashi": [9, 14, 15, 16], ".-": [9, 14, 15, 16], "zhao": [9, 14, 15, 16], "\u53c2\u7167": [9, 13, 14, 15, 16, 18, 19, 20, 21, 23], "\u7591\u4f3c": [9, 14, 15, 16], "seed": [9, 13, 14, 15, 16], "\u30b7\u30fc\u30c9": [9, 14, 15, 16], "mpi": [9, 14, 15, 16, 24, 27], "\u30d7\u30ed\u30bb\u30b9": [9, 14, 15, 16, 23, 24], "\u8db3\u3057": [9, 14, 15, 16], "\u5b9f\u969b": [9, 11, 13, 14, 15, 16, 25, 27, 28], "[parameter": [9, 14, 15, 16, 21, 24, 25, 26, 27, 29], "no": [9, 14, 15, 16], "hamiltonian": [9, 10, 11, 12, 13, 17, 21, 24, 29], "lx": [9, 16, 17], "\u304b\u3051\u308b": [9, 15, 16, 17, 29], "ly": [9, 16, 17], "\u3082\u3064": [9, 16, 17, 28], "\u9577\u65b9": [9, 16, 17], "unitcell": [9, 16, 17, 20, 21, 29], "_sub": [9, 16, 17, 21, 29], "skew": [9, 13, 16, 17, 21, 29], "\u5883\u754c": [9, 15, 16, 17, 29], "\u30b7\u30d5\u30c8": [9, 16, 17], "2\u3064": [9, 12, 15, 16, 17, 28, 29], "\u6e21\u3057": [9, 16, 17], "\u7247\u65b9": [9, 16, 17], "3\u3064": [9, 12, 15, 16, 17, 27, 29], "\u3068\u304c": [9, 16, 17], "\u7b49\u3057\u304f": [9, 16, 17], "\u9806\u756a": [9, 12, 16, 17, 25], "\u4ed8\u3051": [9, 16, 17], "\u4e26\u3073": [9, 13, 15, 16, 17], "1\u3064": [9, 12, 16, 17, 29], "\u5206\u52d5": [9, 16, 17], "\u30ba\u30ec": [9, 16, 17], "\u7f6b\u7dda": [9, 16, 17], "\u533a\u5207\u308a": [9, 12, 16, 17], "\u30b5\u30a4\u30c8\u30c6\u30f3\u30bd\u30eb": [9, 16, 17], "ijkl": [9, 16, 17], "\\alpha": [9, 13, 15, 16, 17], "{(n": [9, 16, 17], "virtual": [9, 16, 17, 20, 21, 24, 25, 26, 27, 29], "bond": [9, 13, 16, 17, 20, 21, 24, 25, 26], "\u30a4\u30f3\u30c7\u30c3\u30af\u30b9": [9, 12, 16, 17], "physical": [9, 16, 17, 21, 29], "\u610f\u5473": [9, 12, 16, 17, 29], "index": [9, 16, 17, 21, 29], "initial": [9, 15, 16, 17, 20, 21, 24, 25, 27, 29], "_state": [9, 16, 17, 21, 29], "\u521d\u671f\u72b6\u614b": [9, 15, 16, 17, 29], "noise": [9, 15, 16, 17, 21, 29], "\u3086\u3089\u304e": [9, 15, 16, 17, 29], "\u6e21\u3059": [9, 12, 16, 17], "\u540c\u6642": [9, 12, 16, 17, 21], "\u500b\u5225": [9, 16, 17], ")\u3001": [9, 16, 17], "(+": [9, 16, 17], "otimes": [9, 16, 17, 29], "\u521d\u671f\u5316": [9, 16, 17], "alpha": [9, 13, 15, 16, 17, 27], "\u5b9f\u5c55": [9, 16, 17], "\u958b\u4fc2": [9, 16, 17], "\u81ea\u52d5": [9, 15, 16, 17, 23, 29], "\u898f\u683c": [9, 16, 17], "\u81ea\u4f53": [9, 16, 17], "\u30dc\u30f3\u30c9\u30a4\u30f3\u30c7\u30c3\u30af\u30b9": [9, 16, 17], "= a": [9, 16, 17], "-noise": [9, 16, 17], "\u4e00\u69d8": [9, 16, 17], "\u4e92\u3044": [9, 15, 16, 17], "\u305f\u3068\u3048": [9, 16, 17, 23, 25, 29], "\u5411\u3044": [9, 15, 16, 17, 29], "\u521d\u671f\u5024": [9, 16, 17], "(|": [9, 16, 17], "\\right": [9, 15, 16, 17], ")/": [9, 16, 17], "sqrt": [9, 15, 16, 17], "\u307f\u304b\u3089": [9, 16, 17], "\u914d\u5217": [9, 16, 17, 29], "\u671f\u5316": [9, 16, 17], "\u91cf\u6e2c": [9, 12, 15, 16], "\u8af8\u3005": [9, 12, 16], "onesite": [9, 12, 16, 21, 24, 29], "twosite": [9, 12, 16, 24, 29], "multisite": [9, 12, 16], "\u7a2e\u985e": [9, 12, 15, 16, 25, 26, 28], "\u3072\u3068\u3064": [9, 12, 16, 21], "\u793a\u3059": [9, 12, 15, 16, 25, 28, 29], "name": [9, 12, 13, 16, 21, 27, 29], "\u8b58\u5225": [9, 12, 13, 16, 29], "sites": [9, 12, 16, 21, 29], "dim": [9, 12, 16, 21, 29], "elements": [9, 12, 16, 21, 24, 29], "coeff": [9, 12, 16], "_im": [9, 12, 16], "\u6587\u5b57": [9, 12, 16], "\u7a7a\u767d": [9, 12, 16], "\u533a\u5207": [9, 12, 16], "\u6d6e\u52d5": [9, 12, 16], "\u5c0f\u6570": [9, 12, 16], "\u70b9\u6570": [9, 12, 16], "\u6700\u521d": [9, 12, 13, 16, 24, 25, 27, 29], "\u3042\u3068": [9, 12, 16, 25, 27], "sz": [9, 12, 13, 16, 21, 24, 25, 26, 27, 29], "begin": [9, 12, 16, 29], "{array": [9, 12, 16], "cc": [9, 12, 16], "end": [9, 12, 16, 24, 25, 26, 28, 29], "\u307e\u305a": [9, 12, 16, 28], "\u7570\u306a\u308b": [9, 12, 16], "\u8868\u793a": [9, 12, 16, 18, 20, 21, 24, 26], "\u59cb\u307e\u308a": [9, 12, 16], "\u4e26\u3079\u308c": [9, 12, 16], "\"\"": [9, 12, 16, 21, 29], "[observable": [9, 12, 16, 21, 29], "\u3075\u305f\u3064": [9, 12, 16], "bonds": [9, 12, 16, 21, 29], "ops": [9, 12, 16, 21, 29], "twosites": [9, 12, 16], "1\u884c": [9, 12, 16, 29], "\u59cb\u70b9": [9, 12, 16], "source": [9, 12, 13, 16, 29], "site": [9, 12, 13, 16, 21, 24, 29], "\u304b\u3089\u307f": [9, 12, 13, 16], "\u7d42\u70b9": [9, 12, 16], "target": [9, 12, 13, 16, 29], "dx": [9, 12, 13, 16], "dy": [9, 12, 13, 16], "\u3068\u3082\u306b": [9, 12, 16], "\u53ce\u307e\u308b": [9, 12, 16], "\u3059\u306a\u308f\u3061": [9, 12, 16, 29], "\u53d6\u308a\u3046\u308b": [9, 12, 16, 29], "4\u3064": [9, 12, 15, 16], "\u3064\u304e": [9, 12, 16], "_j": [9, 12, 15, 16, 28, 29], "lsub": [9, 12, 13, 16], "=[": [9, 12, 16], "\u30cf\u30a4\u30bc\u30f3\u30d9\u30eb\u30b0": [9, 12, 16, 20, 21, 30], "\u30dc\u30f3\u30c9\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3": [9, 12, 15, 16, 20], "= s": [9, 12, 16], "[s": [9, 12, 16], "^+": [9, 12, 16], "^-": [9, 12, 16], "2\u4f53": [9, 12, 16], "\\uparrow": [9, 12, 16, 27], "\\downarrow": [9, 12, 16, 27], "\u91cd\u306d\u5408\u308f\u305b": [9, 12, 16], "\u4e26\u3093": [9, 12, 15, 16], "\u4f4d\u7f6e": [9, 12, 16], "\u4e26\u3073\u9806": [9, 12, 16], "\u4ed8\u3051\u308b": [9, 12, 16], "| \\": [9, 12, 16], "\u975e\u5bfe": [9, 12, 16], "\u89d2\u9805": [9, 12, 16], "\u30cf\u30a4\u30bc\u30f3\u30d9\u30eb\u30b0\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3": [9, 12, 16], "\u307f\u3063\u3064": [9, 12, 16], "multisites": [9, 12, 16], "\u7d44\u307f\u5408\u308f\u305b": [9, 12, 16, 29], "\u3053\u308a": [9, 12, 16], "\u4e26\u3079": [9, 12, 15, 16], "_site": [9, 12, 13, 16], "dx2": [9, 12, 16], "...": [9, 12, 13, 16], "dxn": [9, 12, 16], "dyn": [9, 12, 16], "\u5f62\u5185": [9, 12, 16], "_js": [9, 12, 16], "_k": [9, 12, 16, 29], "\u96a3\u63a5": [9, 27, 28], "\u30d5\u30a3\u30fc\u30eb\u30c9": 9, "-)": 9, "_leg": 9, "\u307f\u306a\u3055": 9, "_steps": 9, "\u523b\u307f\u5e45\u3084": 9, "-x": 9, "\u6642\u8a08": 9, "\u56de\u308a": 9, ":-": 9, ":+": 9, "_initial": 9, "_final": 9, "[evolution": 9, "one": [9, 21], "\u7c21\u6613": [10, 22], "\u307e\u3068\u3081": [10, 22], "_simple": [10, 11, 19, 21, 22, 23, 24, 25, 26, 27, 28], "correlation": [10, 11], "_length": [10, 11], "\u5171\u901a": [10, 15], "\u66f8\u304b": [11, 23], "\u5206\u304b": 11, "\u81ea\u5206": [11, 19, 29], "\u8aad\u307f\u53d6\u308a": 11, "\u3055\u3089\u306b": [11, 21], "\u306f\u305d\u306e": 11, "\u6b21\u8868": 11, "\u6271\u3046": 11, "copy": 11, "out": 11, "\"in": 11, "\"out": 11, "\"copy": 11, "\u30b5\u30d6\u30bb\u30af\u30b7\u30e7\u30f3": [12, 14, 15], "\u7a2e\u8a08": 13, "\u7b97\u7d50": 13, "\u4f7f\u308f": [13, 15], "\u65e5\u6642": 13, "_num": 13, "_tau": 13, "_inverse": 13, "_lambda": 13, "_gauge": 13, "_projector": 13, "_iteration": 13, "_fastfullupdate": 13, "_dimension": [13, 25], "ground": 13, "lcor": 13, "_dir": [13, 27], "save": [13, 24, 25], "_tensor": [13, 25], "outdir": 13, "start": [13, 24], "_datetime": 13, "environmnent": [13, 24], "\u5404\u6f14": 13, "\u3060\u3063": 13, "\u304b\u308f\u308a": 13, "energy": [13, 24, 25, 26, 27], "sx": [13, 24, 25, 26], "sy": [13, 25, 26], "szsz": [13, 21, 24, 25, 26, 29], "sxsx": [13, 24, 25, 26], "sysy": [13, 24, 25, 26], "\\hat": 13, "{a": 13, "hat": 13, "\u5404\u884c": 13, "\u671f\u5f85\u5024": 13, "{re": 13, "{im": 13, "\u88dc\u52a9": 13, "\u91cf\u3068\u3057\u3066": 13, "\u6b8b\u3063": 13, "\u306a\u306b": 13, "\u8d77\u304d": 13, "\u5927\u62b5": 13, "\u5c0f\u3055\u3059\u304e\u308b": 13, "meaning": [13, 25, 26], "each": [13, 25, 26], "column": [13, 25, 26], "following": [13, 25, 26], "op": [13, 29], "_group": [13, 29], "_index": [13, 29], "real": [13, 20, 21, 24, 25, 26, 29], "imag": [13, 21, 25, 26, 29], "names": 13, "are": [13, 25, 26], "norm": 13, "skipped": [13, 29], "..": [13, 21, 23, 26, 29], "\u5909\u4f4d": [13, 29], "\u5165\u308a": 13, "\u5217\u76ee": [13, 20, 25, 26, 29], "\u57fa\u6e96": 13, "\u4ee5\u5916": [13, 16, 23], "\u76ee\u4ee5\u964d": 13, "(x": 13, "equiv": 13, "+x": 13, "+y": 13, "\u5de6\u6f14": 13, "\u53f3\u6f14": 13, "}c": 13, "_op": 13, "_dx": 13, "_dy": 13, "\u5bfe\u6570": 13, "log": 13, "\u898b\u7a4d": 13, "\u3082\u308c\u308b": 13, "\u304b\u3082": 13, "\u3057\u308c": 13, "\u8a73\u7d30": [13, 15, 18, 19, 20, 21, 24], "prx": 13, "direction": 13, "dir": 13, "coorinates": 13, "length": [13, 24], "xi": 13, "-:": 13, "eigenvalues": 13, "|t": 13, "/t": 13, "where": 13, "-th": 13, "largest": 13, "eigenvalue": 13, "id": [13, 25, 26], "ids": [13, 25, 26], "\u5148\u982d": 13, "\u306e\u304b\u308f\u308a": 13, "ft": [13, 25, 26], "\u30b9\u30bf\u30f3\u30c0\u30fc\u30c9\u30e2\u30fc\u30c9": [15, 22, 30], "\u6e08\u307f": [15, 20], "type": [15, 20, 21, 23, 24, 25, 26, 27, 28, 29], "\u3082\u3057\u304f": 15, "\")": [15, 24, 27], "\u5909\u308f\u308a": 15, "[\\": 15, ",y": 15, "^\\": [15, 28], "vec": 15, "{s": [15, 24, 25, 26, 27], "\\cdot": 15, "\\vec": 15, "- \\": 15, "(s": 15, "\u4e00\u4f53\u9805": 15, "\u901a\u308a": [15, 18, 20, 21], "\u534a\u6574": 15, "hx": [15, 24, 25, 26], "\u78c1\u5834": [15, 27, 30], "hy": 15, "^y": 15, "hz": [15, 27], "\u30aa\u30f3\u30b5\u30a4\u30c8\u30b9\u30d4\u30f3": 15, "\u7570\u65b9": 15, "\u3082\u305f\u305b\u308b": 15, "\u6700\u8fd1\u63a5": [15, 20, 29], "\u30fb\u7b2c": 15, "\u6b21\u8fd1\u63a5": 15, "''": 15, "\u4e09\u6b21": 15, "\u8fd1\u63a5": 15, "\u30c0\u30d6\u30eb\u30af\u30a9\u30fc\u30c6\u30fc\u30b7\u30e7\u30f3\u30de\u30fc\u30af": 15, "\u56f2\u3093": 15, "\u3067\u304f": 15, "\u4e00\u5ea6": 15, "xyz": 15, "\u306e\u3046\u3061": 15, "\u4e00\u6587\u5b57": 15, "\u8ffd\u52a0": [15, 23, 25, 26], "\u30a4\u30b8\u30f3\u30b0": [15, 22, 30], "\u4e00\u6210\u5206": 15, "\u3082\u305f\u305b": 15, "\u3001(": [15, 26], ".is": 15, "\u306a\u3089\u3070": 15, "+ d": 15, "=x": 15, "\u306f\u3072\u3068\u3064": 15, "\u4f38\u3073\u308b": 15, "\u5bc4\u4e0e": 15, "": 15, "\u30d5\u30a9\u30fc\u30de\u30c3\u30c8": [15, 19], "\u3054\u89a7\u304f": 15, "\u305d\u306e\u307e\u307e": [16, 29], "\u30b5\u30a4\u30c8\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3": [16, 20], "\u6349\u3048": 16, "\u500b\u3005": 16, "\u3084\u308a\u304b\u305f": 16, "\u5224\u65ad": 16, "\u542b\u3080": 16, "\u542b\u3080\u304b": 16, "\u6c7a\u307e\u308a": 16, "\u3042\u308b\u3044": [16, 23], "\u30e1\u30a4\u30f3\u30d7\u30ed\u30b0\u30e9\u30e0": [18, 19], "input": [18, 21, 24, 27, 29], ".toml": [18, 20, 21, 24, 25, 26, 27, 28, 29], "\u5f15\u6570": [18, 20, 21], "\u30b3\u30de\u30f3\u30c9\u30e9\u30a4\u30f3\u30aa\u30d7\u30b7\u30e7\u30f3": [18, 20, 21], "-help": [18, 20, 21], "\u30d8\u30eb\u30d7\u30e1\u30c3\u30bb\u30fc\u30b8": [18, 20, 21], "-version": [18, 20, 21], "-quiet": 18, "\u6a19\u6e96": 18, "\u66f8\u304d\u51fa\u3055": 18, "\u6f14\u7b97": [19, 23], "\u3057\u3084\u3059\u3044": 19, "\u6240\u5b9a": 19, "\u5f93\u3044": 19, "\u5404\u7a2e": 19, "\u3092\u3054\u89a7\u304f": [19, 24], "\u30d5\u30ed\u30fc": 19, "-output": [20, 21], "=filename": [20, 21], "filename": [20, 21], "std": [20, 21, 24, 27, 28, 29], "-coordinatefile": 20, "=coordfile": 20, "coordfile": 20, "coordinates": 20, "\u30c7\u30ab\u30eb\u30c8": 20, "\u542b\u307f": 20, "-use": 20, "-site": 20, "-hamiltonian": 20, "\u30bc\u30fc\u30de\u30f3": 20, "\u306a\u304b\u3063": [20, 23], "\u73fe\u5728": [20, 29], "\u5de3\u683c\u5b50": 20, "\u304b\u3054\u3081": 20, "[lattice": [20, 27], "square": [20, 21, 24, 25, 26, 27, 29], "size": [20, 21], "antiferro": 20, "spin": [20, 24, 25, 26, 27], "heisenberg": 20, "interaction": 20, ".general": [20, 21, 24, 25, 26, 27, 29], ".simple": [20, 21, 24, 25, 26, 27, 29], "_update": [20, 21, 24, 25, 26, 27, 29], "number": [20, 21, 24], "steps": [20, 21, 24], ".full": [20, 21, 24, 25, 26, 27, 29], "\u9593\u523b": 21, "\\exp": 21, "\u5c0e\u51fa": 21, ".]": [21, 24], "\u5f8c\u308d": 21, "\u5185\u5bb9": [21, 27, 28, 29], "\u8ffd\u8a18": [21, 28], "\u306a\u3048": 21, "limit": [21, 24], "tensors": [21, 24], "as": [21, 24, 27], "-valued": 21, "ones": 21, "boundary": 21, "condition": [21, 24], ".unitcell": [21, 29], "[[": [21, 29], "# (": 21, "information": 21, "second": 21, "coord": 21, "other": 21, "third": 21, "nonzero": 21, "final": 21, "fourth": 21, "fifth": 21, "part": 21, "sixth": 21, "observables": [21, 24, 29], "be": 21, "acted": 21, ".twosite": [21, 29], "\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9": 22, "\u30e9\u30a4\u30d6\u30e9\u30ea": 22, "\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb": [22, 25, 26], "\u6a2a\u78c1\u5834": [22, 30], "\u4e09\u89d2\u683c\u5b50": [22, 30], "\u30fb\u6b63\u65b9": [22, 30], "\u30cf\u30a4\u30bc\u30f3\u30d9\u30eb\u30af": [22, 28, 30], "\u4e09\u89d2\u683c\u5b50\u4e0a": [22, 30], "\u30cf\u30fc\u30c9\u30b3\u30a2\u30dc\u30be\u30f3": [22, 30], "\u76f8\u56f3": [22, 30], "\u30fb\u6a21\u578b": [22, 30], "\u30fb\u6f14\u7b97\u5b50": [22, 30], "faq": 22, "\u8b1d\u8f9e": 22, "\u304a\u554f\u3044": 22, "\u5408\u308f": 22, "\u7d22\u5f15": 22, "\u30e2\u30b8\u30e5\u30fc\u30eb": 22, "\u691c\u7d22": 22, "\u30da\u30fc\u30b8": 22, "page": 23, "\u3002git": 23, "\u30b3\u30de\u30f3\u30c9": [23, 26], "\u6253\u3064": 23, "\u958b\u59cb": [23, 24], "git": 23, "clone": 23, "https": 23, ":/": 23, ".com": 23, "/issp": 23, "-center": 23, "/tenes": 23, "\u30b3\u30f3\u30d1\u30a4\u30eb": 23, "++": 23, "compiler": 23, ">=": 23, "blas": 23, "lapack": 23, "cpptoml": 23, "\u81ea\u8eab": 23, "debian": 23, "/linux": 23, "\u3084\u305d\u306e": 23, "\u6d3e\u751f": 23, "\u30c7\u30a3\u30b9\u30c8\u30ea\u30d3\u30e5\u30fc\u30b7\u30e7\u30f3": 23, "\u304a\u4f7f\u3044": 23, "root": 23, "\u6a29\u9650": 23, "\u304a\u6301\u3061": 23, "sudo": 23, "apt": 23, "install": 23, "openmpi": 23, "-bin": 23, "libopenmpi": 23, "libscalapack": 23, "-mpi": 23, "open": [23, 24, 27], "\u5b9f\u88c5": 23, "\u306a\u3089\u3073": 23, "\u30db\u30fc\u30e0\u30da\u30fc\u30b8": 23, "\u30d1\u30c3\u30b1\u30fc\u30b8": 23, "numpy": [23, 24, 27], "scipy": 23, "\u306e\u3061": [23, 24], "\u624b\u9806": 23, "centos": 23, "\u3068\u3059\u308b": [23, 29], "mkdir": 23, "build": 23, "cd": 23, "dcmake": 23, "_install": 23, "_prefix": 23, "=<": 23, "path": [23, 24], "/": 23, "bin": 23, "-denable": 23, "_mpi": 23, "=off": 23, "macos": 23, "\u30b7\u30b9\u30c6\u30e0": 23, "\u76f8\u6027": 23, "\u63a8\u5968": 23, "\u691c\u51fa": 23, "_cxx": 23, "_compiler": 23, "your": 23, "\u898b\u3064\u3051": 23, "lib": 23, "/libscalapack": 23, ".so": 23, "dscalapack": 23, "_root": 23, "\u4e8b\u524d": 23, "/mptensor": 23, ".a": 23, "dmptensor": 23, "\u30d1\u30b9": [23, 24, 25, 26, 27, 28], "\u901a\u3063": 23, "\u8d77\u52d5": [23, 25, 27, 28], "\u3046\u307e\u304f": 23, "\u884c\u304b": 23, "/bin": 23, "/env": 23, "\u3067\u304d\u305a": 23, "\u51fa\u308b": 23, "dtenes": 23, "_python": 23, "_executable": 23, "interpreter": 23, "\u6a2a\u78c1": [24, 25, 26], "\\begin": [24, 25, 26, 27, 28, 29], "{aligned": [24, 25, 26, 27, 28], "- h": [24, 25, 26, 27], "\u30d1\u30a6\u30ea": [24, 25, 26], "\u5909\u6570": 24, "\u8abf\u6574": 24, "not": 24, "slice": 24, "environment": 24, "contract": 24, "maximum": 24, "iterations": 24, "unit": 24, "cell": 24, "bulk": 24, "ferro": [24, 25], "jz": [24, 25, 26], "jx": [24, 25, 26], "jy": [24, 25, 26], "\u3002\uff09": 24, "processes": 24, "threads": 24, "process": [24, 27], "done": 24, "calculating": 24, "updating": 24, "_obs": [24, 28, 29], "densities": 24, "elapsed": 24, "per": [24, 29], "wall": 24, "sec": 24, "\u5b9f\u865a": 24, "\u30d5\u30a7\u30fc\u30ba": 24, "parameters": 24, "\u304c\u305d\u308c\u305e\u308c": 24, "\u5404\u51fa": 24, "1. TeNeS \u3068\u306f\uff1f", "1.1. \u6982\u8981", "8. \u8b1d\u8f9e", "6. \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0", "<no title>", "9. \u304a\u554f\u3044\u5408\u308f\u305b", "7. FAQ", "<no title>", "\u4f8b", "5.4. tenes \u306e\u5165\u529b\u30d5\u30a1\u30a4\u30eb", "5. \u30d5\u30a1\u30a4\u30eb\u30d5\u30a9\u30fc\u30de\u30c3\u30c8", "5.1. TeNeS \u306e\u5165\u529b\u30d5\u30a1\u30a4\u30eb\u306e\u7c21\u6613\u307e\u3068\u3081", "observable.onesite", "5.5. \u51fa\u529b\u30d5\u30a1\u30a4\u30eb", "parameter.general", "5.2. tenes_simple \u306e\u5165\u529b\u30d5\u30a1\u30a4\u30eb", "5.3. tenes_std \u306e\u5165\u529b\u30d5\u30a1\u30a4\u30eb", "tensor.unitcell \u30b5\u30d6\u30bb\u30af\u30b7\u30e7\u30f3", "3.3. tenes \u306e\u4f7f\u7528\u65b9\u6cd5", "3. \u4f7f\u7528\u65b9\u6cd5", "3.1. tenes_simple \u306e\u4f7f\u7528\u65b9\u6cd5", "3.2. tenes_std \u306e\u4f7f\u7528\u65b9\u6cd5", "Welcome to TeNeS's documentation!", "2. \u30a4\u30f3\u30b9\u30c8\u30fc\u30eb\u65b9\u6cd5", "4.1. \u6a2a\u78c1\u5834\u30a4\u30b8\u30f3\u30b0\u6a21\u578b", "4.2. \u6a2a\u78c1\u5834\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u306e\u5b9f\u6642\u9593\u767a\u5c55", "4.3. \u6a2a\u78c1\u5834\u30a4\u30b8\u30f3\u30b0\u6a21\u578b\u306e\u6709\u9650\u6e29\u5ea6\u8a08\u7b97", "4.4. \u4e09\u89d2\u683c\u5b50\u30fb\u6b63\u65b9\u683c\u5b50\u30cf\u30a4\u30bc\u30f3\u30d9\u30eb\u30af\u6a21\u578b\u306e\u78c1\u5316\u904e\u7a0b", "4.5. \u4e09\u89d2\u683c\u5b50\u4e0a\u306e\u30cf\u30fc\u30c9\u30b3\u30a2\u30dc\u30be\u30f3\u6a21\u578b\u306e\u76f8\u56f3", "4.6. \u30b9\u30bf\u30f3\u30c0\u30fc\u30c9\u30e2\u30fc\u30c9\u306b\u3088\u308b\u683c\u5b50\u30fb\u6a21\u578b\u30fb\u6f14\u7b97\u5b50\u306e\u5b9a\u7fa9", "4. \u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb"], "terms": {"\u6982\u8981": [0, 19, 22], "\u958b\u767a": [0, 2, 22], "\u30d0\u30fc\u30b8\u30e7\u30f3": [0, 5, 18, 20, 21, 22], "\u5c65\u6b74": [0, 22], "\u30e9\u30a4\u30bb\u30f3\u30b9": [0, 22], "\u8ad6\u6587": [0, 22], "\u30b3\u30d4\u30fc\u30e9\u30a4\u30c8": [0, 22], "tenes": [1, 2, 3, 5, 6, 10, 14, 17, 19, 23, 24, 25, 26, 27, 28, 29], "te": 1, "nsor": 1, "ne": 1, "twork": 1, "olver": 1, "\u30c6\u30f3\u30bd\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af": [1, 4, 22, 25], "\u57fa\u3065\u304f": 1, "\u591a\u4f53": [1, 3], "\u91cf\u5b50": [1, 3, 6, 25, 26, 27], "\u72b6\u614b": [1, 4, 6, 9, 10, 12, 14, 15, 16, 17, 22, 25, 26, 27, 28, 29], "\u8a08\u7b97": [1, 3, 6, 7, 8, 9, 10, 11, 14, 15, 16, 19, 21, 22, 24, 25, 27, 28, 29, 30], "\u305f\u3081": [1, 3, 5, 6, 9, 12, 14, 15, 16, 19, 25, 26, 27, 28, 29], "\u30aa\u30fc\u30d7\u30f3\u30bd\u30fc\u30b9": 1, "\u30d7\u30ed\u30b0\u30e9\u30e0\u30d1\u30c3\u30b1\u30fc\u30b8": 1, "\u3067\u3059": [1, 3, 6, 7, 8, 9, 12, 13, 15, 16, 17, 18, 20, 21, 23, 24, 25, 26, 27, 28, 29], "\u4e8c\u6b21": [1, 3, 15], "\u5143\u683c": 1, "\u5b50\u4e0a": 1, "\u5b9a\u7fa9": [1, 3, 8, 9, 12, 15, 16, 19, 20, 21, 22, 24, 25, 26, 27, 28, 30], "\u30b9\u30d4\u30f3": [1, 3, 6, 9, 12, 16, 20, 21, 24, 25, 26, 27, 29], "\u6a21\u578b": [1, 3, 9, 11, 12, 15, 16, 19, 20, 21, 22, 30], "\u306a\u3069": [1, 3, 5, 6, 9, 12, 14, 15, 16, 19, 20, 21, 23, 24, 25, 26, 27, 28], "\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3": [1, 3, 9, 11, 12, 16, 21, 24, 25, 26, 27, 28, 30], "\u306b\u3064\u3044\u3066": [1, 3, 6, 9, 12, 14, 15, 16, 19, 21, 23, 24, 25, 26, 29], "\u78c1\u5316": [1, 3, 22, 25, 26, 30], "\u76f8\u95a2": [1, 8, 9, 11, 13, 15, 16, 28, 29], "\u95a2\u6570": [1, 3, 8, 9, 11, 13, 15, 16, 23, 25, 27, 28], "\u7269\u7406": [1, 3, 6, 9, 12, 14, 15, 16, 25, 26, 29], "\u307e\u3059": [1, 2, 3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29], "\u57fa\u5e95": [1, 3, 6, 9, 10, 12, 14, 15, 16, 25, 26, 27, 28], "\u6709\u9650": [1, 4, 9, 10, 14, 15, 16, 22, 28, 30], "\u6e29\u5ea6": [1, 4, 9, 10, 14, 15, 16, 22, 30], "\u6642\u9593": [1, 3, 6, 9, 11, 13, 14, 15, 16, 24, 25, 27, 28], "\u767a\u5c55": [1, 3, 9, 10, 11, 14, 15, 16, 25, 26], "\u53ef\u80fd": [1, 3, 21, 23, 24, 29], "\u3042\u3089\u304b\u3058\u3081": [1, 19, 24, 25, 26, 27, 28], "\u683c\u5b50": [1, 3, 8, 9, 11, 12, 16, 19, 20, 21, 22, 24, 25, 26, 28, 30], "\u306b\u5bfe\u3057": [1, 3, 19, 24, 25, 26], "\u30e6\u30fc\u30b6\u30fc": [1, 18, 23], "\u7c21\u5358": [1, 3, 6, 11, 19, 27], "\u5165\u529b": [1, 3, 5, 10, 13, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29], "\u30d5\u30a1\u30a4\u30eb": [1, 3, 5, 10, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29], "\u4f5c\u6210": [1, 7, 9, 15, 16, 19, 23], "\u3059\u308b": [1, 3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29], "\u30c4\u30fc\u30eb": [1, 11, 19, 20, 21, 23], "\u3042\u308a": [1, 3, 6, 7, 9, 12, 15, 16, 18, 19, 23, 25, 28, 29], "\u6c17\u8efd": 1, "\u4f53\u9a13": 1, "\u3067\u304d": [1, 3, 6, 9, 12, 14, 15, 16, 17, 19, 20, 21, 23, 24, 25, 26, 28, 29], "openmp": 1, "/mpi": 1, "\u30cf\u30a4\u30d6\u30ea\u30c3\u30c9": 1, "\u4e26\u5217": [1, 9, 14, 15, 16, 24], "\u5bfe\u5fdc": [1, 3, 9, 15, 19], "\u304a\u308a": [1, 3, 11, 23, 24, 25, 26, 27, 28, 29], "\u5927\u898f": 1, "\u6a21\u8a08": 1, "\u7b97\u6a5f": 1, "\u306b\u3088\u308b": [1, 3, 7, 9, 15, 16, 22, 26, 30], "\u4ee5\u4e0b": [1, 3, 5, 7, 9, 13, 14, 15, 16, 18, 19, 20, 21, 23, 25, 26, 27, 28, 29], "\u30e1\u30f3\u30d0\u30fc": 1, "\u5927\u4e45\u4fdd": 1, "\u6771\u4eac\u5927\u5b66\u5927": 1, "\u5b66\u9662": 1, "\u7406\u5b66": 1, "\u7814\u7a76": [1, 3, 5, 28], "\u68ee\u7530": 1, "\u609f\u53f2": 1, "\u6176\u5fdc": 1, "\u5927\u5b66": 1, "\u5927\u5b66\u9662": 1, "\u7406\u5de5": 1, "\u5b66\u7814": 1, "\u7a76\u79d1": 1, "\u672c\u5c71": 1, "\u88d5\u4e00": 1, "\u6771\u4eac": 1, "\u7269\u6027": [1, 3], "\u7814\u7a76\u6240": 1, "\u5409\u898b": 1, "\u4e00\u6176": 1, "\u52a0\u85e4": 1, "\u5cb3\u751f": 1, "\u5ddd\u5cf6": 1, "\u76f4\u8f1d": 1, "ver": 1, "\u30ea\u30ea\u30fc\u30b9": 1, "beta": [1, 3, 9, 13, 14, 15, 16], "\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2": [1, 2], "\u304a\u3088\u3073": [1, 3, 5, 9, 11, 13, 14, 15, 16, 23, 24, 25, 26, 27, 28], "\u30bd\u30fc\u30b9\u30b3\u30fc\u30c9": [1, 23], "\u4e00\u5f0f": 1, "gnu": [1, 23], "general": [1, 9, 14, 15, 16, 24, 27], "public": 1, "license": 1, "version": 1, "gpl": 1, "\u6e96\u3058": 1, "\u914d\u5e03": 1, "\u7528\u3044": [1, 4, 7, 8, 9, 12, 14, 15, 16, 21, 22, 23, 24, 25, 26, 27, 28, 29], "\u7d50\u679c": [1, 3, 6, 9, 12, 14, 15, 16, 24, 25, 26, 27, 28], "\u51fa\u7248": 1, "\u5834\u5408": [1, 3, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 28, 29], "\u5f15\u7528": 1, "\u305f\u3060\u3051\u308b": 1, "\u5e78\u3044": [1, 3], "motoyama": 1, "tsuyoshi": 1, "okubo": 1, "kazuyoshi": 1, "yoshimi": 1, "satoshi": 1, "morita": [1, 9, 14, 15, 16], "takeo": 1, "kato": 1, "and": [1, 3, 9, 13, 14, 15, 16, 25], "naoki": 1, "kawashima": [1, 9, 14, 15, 16], "tensor": [1, 3, 10, 11, 13, 14, 15, 20, 21, 24, 25, 27, 29], "network": [1, 3], "solver": 1, "for": [1, 3, 9, 14, 15, 16, 24, 27], "quantum": [1, 3, 25], "lattice": [1, 3, 6, 10, 11, 20, 21, 24, 25, 26, 27, 28, 29], "systems": [1, 3], "\",": [1, 27], "comput": 1, "phys": [1, 3, 9, 14, 15, 16, 25, 28], "commun": 1, "the": [1, 3, 9, 13, 14, 15, 16, 21, 25, 26, 28], "university": 1, "of": [1, 3, 13, 20, 21, 24, 25, 26], "tokyo": 1, "all": 1, "rights": 1, "reserved": 1, "\u4e00\u90e8": [1, 23, 27], "\u5e74\u5ea6": [1, 2], "\u9ad8\u5ea6": [1, 2], "\u30d7\u30ed\u30b8\u30a7\u30af\u30c8": [1, 2], "\u652f\u63f4": [1, 2], "\u53d7\u3051": [1, 2], "\u305d\u306e": [1, 3, 5, 6, 7, 9, 11, 12, 15, 16, 25, 26, 28, 29], "\u8457\u4f5c": 1, "\u6240\u6301": 1, "\u6587\u90e8": 2, "\u79d1\u5b66\u7701": 2, "\u30dd\u30b9\u30c8": 2, "\u300c\u4eac": 2, "\u840c\u82bd": 2, "\u8ab2\u984c": 2, "\u57fa\u790e": 2, "\u79d1\u5b66": 2, "\u30d5\u30ed\u30f3\u30c6\u30a3\u30a2": 2, "\u6975\u9650": 2, "\u6311\u6226": 2, "\u53ca\u3073": 2, "\u91cd\u70b9": 2, "\u6b21\u4e16\u4ee3": 2, "\u7523\u696d": 2, "\u652f\u3048\u308b": 2, "\u65b0\u6a5f\u80fd": 2, "\u30c7\u30d0\u30a4\u30b9": 2, "\u9ad8\u6027": 2, "\u80fd\u6750": 2, "\u5275\u6210": 2, "\u4e00\u74b0": 2, "\u3068\u3057\u3066": [2, 3, 6, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, 24, 25, 26, 27, 29], "\u5b9f\u65bd": 2, "\u307e\u3057": [2, 3, 29], "\u307e\u305f": [2, 3, 8, 9, 13, 15, 16, 17, 25, 26, 28], "\u6771\u4eac\u5927\u5b66\u7269": 2, "\u6027\u7814": 2, "\u7a76\u6240": 2, "\u3053\u306e": [2, 3, 9, 11, 12, 13, 14, 15, 16, 17, 25, 26, 27, 28, 29], "\u501f\u308a": 2, "\u611f\u8b1d": 2, "states": 3, "tns": [3, 8, 9, 16], "))": [3, 24, 27], "\u3068\u306f": 3, "\u5c0f\u3055": 3, "\u30c6\u30f3\u30bd\u30eb": [3, 8, 9, 11, 14, 15, 16, 17, 23, 24, 25, 29], "\u7e4b\u304c\u308a": 3, "\u5909\u5206": 3, "\u6ce2\u52d5": [3, 15, 25, 27], "[tns": 3, "\u4f8b\u3048": [3, 8, 9, 11, 12, 15, 16, 24, 25, 26, 27], "\u76f4\u7a4d": [3, 9, 12, 16, 17, 29], "\\psi": [3, 9, 13, 16, 17], "\\rangle": [3, 8, 9, 12, 13, 16, 17, 27, 28], "sum": [3, 9, 15, 16, 17, 24, 25, 26, 27, 28, 29], "_{": [3, 9, 15, 16, 17, 24, 25, 26, 27, 28, 29], "_i": [3, 9, 12, 13, 15, 16, 17, 24, 25, 26, 27, 28, 29], "uparrow": [3, 9, 12, 16, 17], ",\\": [3, 29], "downarrow": [3, 9, 12, 16, 17], "psi": [3, 9, 13, 16, 17, 29], "dots": [3, 8, 9, 16], "_n": 3, "\u3068\u8868\u305b": 3, "\u5c55\u958b": 3, "\u4fc2\u6570": [3, 9, 12, 16, 17, 24, 25, 26, 29], "\u30cd\u30c3\u30c8\u30ef\u30fc\u30af": 3, "= \\": [3, 9, 14, 15, 16, 29], "mathrm": 3, "{ttr": 3, "}\\": [3, 9, 12, 13, 15, 16, 21, 27, 28, 29], "left": [3, 8, 9, 12, 13, 15, 16, 17], "[t": 3, "^{": [3, 13, 15, 24, 25, 26, 27, 29], ")}": [3, 9, 15, 16, 17], "]\\": 3, "cdots": 3, "(n": [3, 15], "right": [3, 8, 9, 12, 13, 15, 16, 21], "],": [3, 8, 9, 15, 16, 17], "\u3068\u66f8\u304f": 3, "\u3053\u3068": [3, 5, 6, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29], "\u3053\u3053": [3, 6, 9, 12, 15, 16, 24, 25, 26, 27, 28], "\\mathrm": [3, 13], "}[": 3, "\u8868\u3057": [3, 15, 25, 27, 28, 29], "(i": 3, "\u884c\u5217": [3, 7, 9, 12, 13, 15, 16, 29], "\u7a4d\u72b6": [3, 15], "matrix": [3, 24], "product": 3, "state": [3, 9, 13, 14, 15, 16, 20, 21], "mps": 3, "\u547c\u3070": 3, "\u308c\u308b": [3, 6, 9, 12, 14, 15, 16], "[mps": 3, "\u4e0e\u3048": [3, 9, 16, 17, 21], "\u3089\u308c\u308b": [3, 6, 9, 14, 15, 16, 28], "\u306a\u3063": [3, 6, 13, 25, 26, 28], "\u306f\u3053\u306e": 3, "\u901a\u5e38": 3, "\u306a\u308a": [3, 6, 9, 12, 13, 16, 17, 24, 25, 27, 28, 29], "}^": [3, 9, 13, 16, 17, 27, 28], "{\\": [3, 29], "{mps": 3, "}}": [3, 15, 28, 29], "\\neq": 3, "\u5f62\u72b6": [3, 6], "\u305d\u308c\u305e\u308c": [3, 9, 11, 12, 15, 16, 19, 29], "times": [3, 9, 12, 16, 24, 27, 28], "\u3042\u308b": [3, 5, 9, 12, 14, 15, 16, 17, 25, 27, 28, 29], "\u4eee\u5b9a": 3, "\u3088\u3046": [3, 6, 9, 12, 16, 17, 18, 19, 23, 24, 25, 27, 28, 29], "\u8fd1\u4f3c": 3, "\u7528\u3044\u308b": [3, 7, 9, 12, 14, 15, 16, 24, 25, 28], "\u7cbe\u5ea6": [3, 6, 27, 28], "\u306b\u3088\u3063": [3, 9, 15, 16, 17, 28, 29], "\u5236\u9650": [3, 9, 14, 15, 16, 28], "\u30dc\u30f3\u30c9": [3, 6, 9, 12, 13, 14, 15, 16, 17, 27, 28, 29], "\u6b21\u5143": [3, 6, 7, 9, 12, 13, 14, 15, 16, 17, 27, 28, 29], "\u30c0\u30a4\u30a2\u30b0\u30e9\u30e0": 3, "\u8868\u8a18": 3, "\u63cf\u304f": 3, "\u540c\u69d8": [3, 9, 12, 13, 15, 16, 25, 26, 27, 29], "\u3057\u3066": [3, 5, 23], "\u7121\u9650": 3, "\u8868\u308f\u3059": 3, "\u9577\u3044": 3, "\u8003\u3048\u308b": [3, 29], "\u7279\u306b": 3, "\u9577\u3055": 3, "\u4e26\u9032": 3, "\u5bfe\u79f0": [3, 26], "\u6301\u3063": 3, "\u3044\u308b": [3, 5, 6, 8, 9, 13, 15, 16, 20, 23, 27, 29], "\u5c11\u6570": 3, "\u72ec\u7acb": [3, 9, 16, 17, 29], "\u7e70\u308a\u8fd4\u3059": 3, "infinite": 3, "imps": 3, "\u4f5c\u308b": [3, 15], "\u30b5\u30a4\u30c8": [3, 8, 9, 12, 13, 15, 16, 17, 20, 24, 27, 28, 29], "\u540c\u3058\u8272": 3, "\u540c\u3058": [3, 20, 21, 27, 28, 29], "\u8981\u7d20": [3, 9, 12, 14, 15, 16, 17, 29], "\u6301\u3064": [3, 9], "\u5e83\u304c\u3063": 3, "itns": [3, 24], "\u53d6\u308a\u6271\u3044": 3, "\u9ad8\u6b21": 3, "\u81ea\u7136": 3, "\u62e1\u5f35": 3, "\u3082\u3063": 3, "\u6b63\u65b9": [3, 8, 9, 12, 16, 20, 21, 24, 25, 26, 27, 28, 29], "\u30c0\u30a4\u30e4\u30b0\u30e9\u30e0": 3, "\u63cf\u3051": 3, "\u3002tenes": 3, "\u5143\u91cf\u5b50": 3, "\u306a\u304a": [3, 13, 15, 23, 24, 25, 28, 29], "\u3060\u3051": [3, 6, 9, 14, 15, 16, 26, 27, 28], "\u306a\u304f": [3, 6, 9, 13, 14, 15, 16, 25, 28], "\u9069\u5207": [3, 24], "\u30de\u30c3\u30d4\u30f3\u30b0": 3, "\u306b\u3088\u308a": [3, 25, 26, 27, 28], "\u30cf\u30cb\u30ab\u30e0": 3, "\u4e09\u89d2": [3, 15, 20, 27, 28], "\u69d8\u3005": 3, "\u5143\u683c\u5b50": 3, "\u9069\u7528": 3, "\u3089\u308c": [3, 8, 9, 12, 14, 15, 16, 17, 21, 23, 26, 27, 28], "\u671f\u5f85": [3, 13, 24, 25, 28, 29], "\\langle": [3, 8, 9, 12, 13, 16, 27, 28], "|o": 3, "|\\": [3, 9, 13, 16, 17, 28], "/\\": [3, 13], "langle": [3, 13, 24, 25, 26, 27, 28], "\u4e00\u822c": 3, "\u3068\u3044\u3046": [3, 6, 9, 12, 16, 25, 26], "\u4e8c\u3064": 3, "\u5fc5\u8981": [3, 6, 7, 9, 11, 12, 15, 16, 18, 19, 22, 25, 27, 28, 29], "\u306b\u5bfe\u5fdc": [3, 29], "\u3057\u3070\u3057\u3070": 3, "\u30c0\u30d6\u30eb\u30ec\u30a4\u30e4\u30fc": 3, "double": 3, "layered": 3, "\u30c0\u30d6\u30eb\u30ec\u30a4\u30e4\u30fc\u30c6\u30f3\u30bd\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af": 3, "\u975e\u5e38": [3, 28], "\u5927\u304d": [3, 28], "\u30b3\u30b9\u30c8": [3, 6, 28], "\u3002mps": 3, "\u5c40\u6240": [3, 15, 16, 29], "\u69cb\u6210": [3, 13], "\u8ee2\u9001": [3, 7, 9, 13, 15, 16], "\u52b9\u7387": [3, 6], "\u3002\u3057\u304b\u3057": 3, "tps": 3, "\u53b3\u5bc6": [3, 6], "\u5c0f\u3055\u3044": [3, 6, 28], "\u30af\u30e9\u30b9\u30bf\u30fc": 3, "\u534a\u5f84": 3, "\u30b7\u30ea\u30f3\u30c0\u30fc": 3, "\u9664\u3044": 3, "\u307b\u307c": [3, 6, 27, 28], "\u4e0d\u53ef\u80fd": 3, "\u89d2\u8ee2": [3, 9, 14, 15, 16], "\u9001\u884c": [3, 9, 14, 15, 16], "\u5217\u7e70\u308a\u8fbc\u307f": 3, "\u7fa4\u6cd5": 3, "\uff08corner": 3, "transfer": [3, 24], "renormalization": 3, "group": [3, 9, 12, 16, 21, 29], "ctmrg": [3, 24], "[ctmrg": 3, "\u30a8\u30c3\u30b8\u30c6\u30f3\u30bd\u30eb": 3, "\u65b9\u6cd5": [3, 6, 22, 29], "\u63a1\u7528": [3, 6], "\u4f7f\u3063": [3, 13, 28], "\u5358\u7d14": 3, "\u5217\u8868": 3, "\u30c6\u30f3\u30bd\u30eb\u30cd\u30c3\u30c8\u30ef\u30fc\u30af\u30c0\u30a4\u30a2\u30b0\u30e9\u30e0": 3, "\u3068\u8868\u3055": 3, "\u592a\u7dda": 3, "\\chi": [3, 9, 14, 15, 16], "\u5438\u53ce": [3, 20], "\u3044\u304f": [3, 6, 25], "\u305d\u308c\u3089": 3, "\u30a2\u30c3\u30d7\u30c7\u30fc\u30c8": 3, "\u53ce\u675f": [3, 7, 9, 14, 15, 16, 27], "\u307e\u3067": [3, 9, 24, 27], "\u7e70\u308a\u8fd4\u3057": 3, "move": 3, "\u624b\u7d9a\u304d": 3, "\u73fe\u308c\u308b": [3, 28], "\u30d7\u30ed\u30b8\u30a7\u30af\u30bf\u30fc": 3, "\u3044\u304f\u3064\u304b": [3, 6, 11, 25, 26, 28], "\u81ea\u7531\u5ea6": 3, "\u6e1b\u3089": [3, 27], "\u50cd\u304d": 3, "(\\": [3, 8, 9, 12, 14, 15, 16, 28], "chi": [3, 9, 14, 15, 16], "\u30b9\u30b1\u30fc\u30eb": 3, "\u3053\u3053\u3067": [3, 9, 15, 16, 17, 25, 26, 27, 29], "\u6ce8\u610f": [3, 9, 14, 15, 16, 24, 25, 26], "\u304f\u3060": [3, 5, 9, 13, 14, 15, 16, 18, 20, 21, 23, 24, 25, 26], "\u3055\u3044": [3, 5, 9, 13, 14, 15, 16, 18, 20, 21, 23, 24, 25, 26], "propto": [3, 29], "(d": [3, 15], "\u306e\u3088\u3046": [3, 9, 12, 16, 17, 28], "\u6bd4\u4f8b": 3, "\u5897\u3084": [3, 6], "\u6761\u4ef6": [3, 9, 16, 17], "})": [3, 8, 9, 14, 15, 16, 28], "\u30e1\u30e2\u30ea": 3, "\u8ff0\u3079": 3, "\u5f97\u308b": 3, "\u758e\u884c": 3, "\u7279\u7570": [3, 9, 14, 15, 16], "\u5024\u5206": 3, "\uff08svd": 3, "\u4ee3\u308f\u308a": [3, 6], "\u5bc6\u884c": [3, 7, 9, 15, 16], "svd": [3, 9, 14, 15, 16], "\u3068\u306a\u308a": [3, 9, 12, 15, 16], "\u3044\u3063": 3, "\u305f\u3093": 3, "\u5f97\u308c": 3, "|s": 3, "^z": [3, 8, 9, 12, 15, 16, 17, 24, 25, 26, 27, 29], "\u8868\u308f": 3, "\u6700\u8fd1": [3, 15, 24, 29], "\u63a5\u76f8": [3, 24], "_is": [3, 9, 12, 16], "}|": 3, "\u3002\u307e\u305f": [3, 6, 27], "\u756a\u76ee": 3, "\u4efb\u610f": [3, 19], "\u6f14\u7b97\u5b50": [3, 8, 9, 11, 12, 13, 14, 15, 16, 24, 25, 26, 28, 30], "\u3067\u304d\u308b": [3, 21], "\u304c\u308f\u304b\u308a": [3, 25, 27, 28, 29], "\u30c0\u30a4\u30b0\u30e9\u30e0": 3, "\u5927\u304d\u304f": [3, 24, 25, 28], "\u306a\u308b": [3, 6, 9, 12, 13, 15, 16, 17, 24, 25, 26, 29], "\u3068\u305d\u306e": 3, "\u83ab\u5927": 3, "\u6700\u5c0f": [3, 6], "\u30a8\u30cd\u30eb\u30ae\u30fc": [3, 6, 9, 12, 16, 24, 26, 27, 29], "frac": [3, 9, 12, 15, 16, 27], "mathcal": [3, 9, 12, 14, 15, 16, 21, 29], "{h": [3, 9, 12, 14, 15, 16, 21, 29], "}{": [3, 9, 12, 15, 16, 27], "},": [3, 8, 9, 16], "\u4e0e\u3048\u308b": [3, 15], "\\mathcal": [3, 9, 12, 15, 16, 29], "\u5bfe\u8c61": 3, "\u865a\u6642\u9593": [3, 9, 14, 15, 16, 27], "\uff08the": 3, "imaginary": [3, 20, 21, 24], "evolution": [3, 10, 11, 14, 15, 16, 17], "ite": 3, ")\uff09": 3, "variational": 3, "optimization": 3, "\u624b\u6cd5": [3, 9, 14, 15, 16], "\u3046\u3061": [3, 15, 28], "\u524d\u8005": [3, 6], "\u7bc4\u56f2": [3, 8, 9, 12, 16], "\u865a\u6642": [3, 21], "{itps": 3, "rangle": [3, 9, 13, 16, 17, 24, 25, 26, 27, 28], "simeq": 3, "-t": [3, 15, 28], "\u8003\u3048": [3, 29], "\u521d\u671f": [3, 6, 7, 9, 14, 15, 16, 17, 25, 27, 29], "\u3082\u3057": 3, "\u5341\u5206": [3, 27], "\u5927\u304d\u3051\u308c": 3, "\u5de6\u8fba": 3, "\u826f\u3044": [3, 6, 9, 12, 16], "\u77ed\u8ddd": 3, "\u4e8c\u4f53": 3, "\u76f8\u4e92": [3, 9, 12, 15, 16, 28], "\u4f5c\u7528": [3, 9, 12, 15, 16, 28, 29], "\\{(": 3, ",j": [3, 16, 29], ")\\": [3, 9, 14, 15, 16], "}}h": 3, "ij": [3, 9, 12, 15, 16, 21, 28, 29], "\u8868\u3055": [3, 9, 12, 15, 16], "\u523b\u307f": [3, 9, 14, 15, 16, 24, 27], "\\tau": [3, 9, 14, 15, 16, 21, 27], "\u9593\u767a": [3, 9, 14, 15, 16, 21, 25], "\u5c55\u6f14": [3, 9, 14, 15, 16, 21], "\u7b97\u5b50": [3, 9, 13, 14, 15, 16, 21], "suzuki": 3, "-trotter": 3, "\u5206\u89e3": 3, "-\\": [3, 13, 28], "tau": [3, 9, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "prod": 3, ").": 3, "\u4e00\u6b21": 3, "\u3088\u308a": [3, 6, 27, 28], "\u3002suzuki": 3, ")^": [3, 15], "{n": [3, 15, 28], "),": [3, 8, 9, 15, 16], "\u66f8\u304d\u4e0b\u3059": 3, "= t": 3, "\u3067\u306e": 3, "\u30b9\u30c6\u30c3\u30d7": [3, 9, 14, 15, 16, 27], "\u53f3\u8fba": 3, "\\prod": 3, "\u90e8\u5206": 3, "\u96c6\u5408": [3, 9, 12, 16, 29], "\u304a\u4e92\u3044": 3, "\u4ea4\u63db": [3, 15], "\u3068\u3057": [3, 9, 12, 15, 16, 17, 24, 25, 26, 27], "\u4e92\u4f5c": [3, 28], "\u65b0\u3057\u3044": 3, "in": [3, 11, 21, 24, 25, 27, 29], "{subset": 3, "}_": [3, 8, 9, 12, 13, 15, 16, 21, 24, 25, 26, 27, 29], "}}e": 3, "\u3068\u3053\u306e": 3, "\u3092\u304b\u3051\u308b": 3, "\u5897\u5927": 3, "\u3057\u307e\u3046": [3, 6], "\u304c\u3063": 3, "\u30b7\u30df\u30e5\u30ec\u30fc\u30b7\u30e7\u30f3": 3, "\u5b89\u5b9a": 3, "\u7d99\u7d9a": 3, "\u4e00\u5b9a\u5024": 3, "\u6bce\u56de": 3, "\u6253\u3061\u5207\u308b": 3, "truncate": 3, "\u7d20\u6734": 3, "\u6253\u3061\u5207\u308a": 3, "\u5316\u554f": 3, "\\min": 3, "vert": 3, "\u89e3\u304f": 3, "\u884c\u3048": 3, "\u554f\u984c": [3, 5, 6, 13, 25], "\u975e\u7dda": 3, "\u5f62\u554f": 3, "\u81a8\u5927": 3, "\u3057\u307e\u3044": [3, 28], "\u305d\u3053": 3, "\u4e00\u3064": [3, 6, 9, 14, 15, 16], "\u305d\u308c": [3, 6, 23, 27, 28], "\u63a2\u3059": 3, "\u6bd4\u8f03": [3, 6, 26], "\u6570\u500b": 3, "\u5909\u66f4": [3, 5, 11, 25, 27, 28], "\u4e00\u6b21\u5143": 3, "\u4e8c\u4e57": 3, "\u30ce\u30eb\u30e0": [3, 13], "\\left": [3, 9, 12, 13, 16, 21], "\u4f7f\u3046": [3, 9, 12, 14, 15, 16, 23, 29], "[ite": 3, "\u65b0\u3057\u304f": 3, "\u7834\u3063": 3, "\u5834\u6240": 3, "\u30b3\u30d4\u30fc": [3, 11, 13, 15, 16, 29], "full": [3, 6, 9, 13, 14, 15, 16, 24], "update": [3, 6, 9, 13, 14, 15, 16, 24, 27], "\u5927\u90e8": 3, "\u5fdc\u3058": 3, "simple": [3, 6, 9, 13, 14, 15, 16, 20, 24, 25, 26, 27], "\u5316\u624b": [3, 7, 9, 15, 16], "\u3002simple": 3, "\u91cd\u3044": 3, "\u907f\u3051\u308b": 3, "\u6ce2\u52d5\u95a2\u6570": 3, "\u5168\u4f53": [3, 9, 16, 17, 29], "[simpleupdate": 3, "\\lambda": [3, 9, 14, 15, 16], "\u975e\u8ca0": 3, "\u5bfe\u89d2": [3, 6, 7, 9, 12, 15, 16], "\u3053\u308c": [3, 27, 28, 29], "\u7121\u8996": 3, "\u74b0\u5883": [3, 9, 14, 15, 16, 22, 24], "\u5e73\u5747": [3, 9, 14, 15, 16, 27], "\u5177\u4f53": [3, 9, 12, 16], "\u4e00\u4f53": [3, 9, 12, 16], "\u30e9\u30f3\u30af": 3, "\u898b\u505a\u3059": 3, "\u3068\u8868\u3059": 3, "\u9014\u4e2d": [3, 6], "\u5e73\u5747\u5834": [3, 9, 14, 15, 16], "\u5229\u7528": [3, 6, 11, 13, 19, 23, 27, 28, 29], "qr": 3, "\u884c\u3046": [3, 6, 23, 25, 26, 27, 28], "[qr": 3, "\u3082\u305a\u3063\u3068": 3, "\u8efd\u304f": [3, 27], "\u305f\u3060\u3057": [3, 6], "\u4f9d\u5b58": [3, 13, 15, 23, 24, 26, 27, 28], "\u5f37\u304f": [3, 25], "\u6700\u7d42": [3, 9, 14, 15, 16, 24, 29], "\u5927\u304d\u3055": [3, 7, 9, 12, 15, 16, 17, 24, 25, 26, 27, 28], "\u904e\u5270": 3, "\u8a55\u4fa1": 3, "\u77e5\u3089": [3, 28], "\u672a\u77e5": 3, "\u614e\u91cd": 3, "\u691c\u8a3c": 3, "\u6642\u523b": [3, 13], "\u306b\u304a\u3051\u308b": [3, 9, 14, 15, 16, 17, 25], "(t": [3, 9, 14, 15, 16], "it": [3, 9, 14, 15, 16], "\u9055\u3044": 3, "\u6307\u6570": 3, "-it": 3, "\u304b\u3060\u3051": 3, "\u306e\u3067": [3, 9, 12, 16, 26], "\u3067\u3082": [3, 6, 9, 14, 15, 16, 27], "\u5168\u304f": 3, "\u30a8\u30f3\u30bf\u30f3\u30b0\u30eb\u30e1\u30f3\u30c8": [3, 25], "\u9032\u3080": [3, 25], "\u306b\u3064\u308c": [3, 24, 25], "\u5411\u304b\u3046": 3, "\u904e\u7a0b": [3, 7, 9, 15, 16, 22, 30], "\u6975\u7aef": [3, 29], "\u8a18\u8ff0": [3, 9, 12, 14, 15, 16, 17, 27, 28, 29], "\u7834\u7dbb": 3, "\u4f4e\u3044": [3, 6], "\u5178\u578b": [3, 6], "\u56fa\u6709": [3, 7, 9, 13, 15, 16], "\uff09\u3001": 3, "\u3068\u3068\u3082": 3, "\u4fdd\u3064": 3, "\u9577\u6642\u9593": 3, "\u306a\u308c": 3, "\u307b\u3069": [3, 27, 28], "\u307e\u305b": [3, 6, 7, 9, 13, 14, 15, 16, 18, 20, 21, 28], "\u3082\u3061\u308d\u3093": 3, "\u5206\u8a08": 3, "\u73fe\u5b9f": [3, 28], "\u8cc7\u6e90": 3, "\u3088\u304f": [3, 6], "\u77ed\u6642\u9593": 3, "\u9650\u5b9a": 3, "\u30e2\u30c7\u30eb": [3, 24, 25, 26], "\u7a0b\u5ea6": [3, 24, 26, 27], "\u9650\u754c": 3, "\u591a\u3044": [3, 27], "\u3082\u3046": [3, 9, 16, 17], "\u518d\u73fe": 3, "\u305f\u3044": [3, 6, 9, 15, 16, 17, 19, 23], "\u73fe\u8c61": 3, "\u7279\u5fb4": [3, 28], "\u884c\u3063": [3, 6, 27], "\u5230\u9054": 3, "\u3044\u308c": 3, "\u6b63\u3057\u3044": [3, 6], "\u7d4c\u8def": 3, "\u304b\u3089": [3, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 19, 21, 23, 24, 27, 28, 29], "\u591a\u5c11": 3, "\u305a\u308c": [3, 15, 29], "\u5927\u304d\u306a": [3, 15], "\u751f\u3058": [3, 5, 27], "\u4e00\u65b9": [3, 24, 28], "\u3082\u306e": [3, 6, 8, 9, 12, 15, 16, 27], "\u8208\u5473": 3, "\u601d\u308f": 3, "\\delta": 3, "\u5c0f\u3055\u304f": [3, 24], "\u72b6\u6cc1": [3, 24], "\u30bb\u30af\u30b7\u30e7\u30f3": [3, 7, 8, 10, 11, 21, 26, 27, 28], "\u7de8\u96c6": [3, 18, 21], "\u7d14\u7c8b": 3, "\u6df7\u5408": 3, "\\rho": [3, 9, 14, 15, 16], "{e": 3, "}{\\": 3, "{tr": 3, "\\beta": [3, 13], "\u9006\u6e29": [3, 9, 13, 14, 15, 16, 26], "=\\": 3, "rho": [3, 9, 14, 15, 16], ")_": 3, "',": 3, "'}": 3, "'\\": 3, "\u4e00\u822c\u5316": 3, "\u7a4d\u6f14": 3, "\uff08matrix": 3, "operator": 3, "(mpo": 3, "{mpo": 3, "']": 3, "\u3067\u8868\u3059": 3, "\u66f8\u304f": [3, 29], "impo": 3, "\u8868\u3059": [3, 8, 9, 12, 16, 25, 26, 29], "\u4e8c\u6b21\u5143": 3, "iipo": 3, "[tpo": 3, "itpo": 3, "= e": 3, "}/": [3, 15, 24, 27], "\u5bc6\u5ea6": [3, 28], "\u5358\u4f4d": [3, 24], "\u6027\u8cea": 3, "\"\u7dda": 3, "\u4e26\u3076": 3, "\u306b\u5bfe\u3059\u308b": [3, 9, 14, 15, 16, 20, 29], "\u307e\u307e": [3, 11, 15], "\uff08tenes": 3, "\u73fe\u6642\u70b9": 3, "\u306e\u307f": [3, 8, 9, 14, 15, 16, 29], "\u30b5\u30dd\u30fc\u30c8": 3, "\uff09\u3002": [3, 9, 23, 29], "{itpo": 3, "\u3001\uff08": [3, 28], "\u3084\u3059": 3, "\u304a\u3051\u308b": [3, 9, 16, 17, 28, 29], "\u4e00\u756a": [3, 6, 15], "\u5024\u8a08": 3, "_\\": [3, 8, 9, 15, 16, 17, 28], "\u4e0a\u4e0b": 3, "\u3064\u306a\u3050": [3, 9, 12, 16], "\u76f8\u5f53": 3, "\u3064\u306a\u3052": 3, "\u5206\u6bcd": 3, "\u73fe\u308c": [3, 6, 27], "\u5143\u6b63": 3, "\u65b9\u683c\u5b50": 3, "\u69cb\u9020": [3, 27, 28], "\u6bd4\u3079": 3, "\u539f\u56e0": [3, 13], "\u9ed2\u4e38": 3, "\u793a\u3057": [3, 9, 11, 12, 15, 16, 25, 26, 29], "\u306e\u307e\u307e\u3067": 3, "\u7570\u306a\u308a": [3, 9, 13, 27], "\u5897\u3084\u305b": 3, "\u5927\u5e45": 3, "\u4e00\u65e6": 3, "\u3067\u304d\u308c": 3, "\u542b\u3093": 3, "\u6700\u5f8c": [3, 9, 12, 13, 15, 16, 19, 24, 28], "\u6b20\u70b9": 3, "\u89e6\u308c": 3, "\u304a\u304d": [3, 9, 12, 16, 25], "\u30a8\u30eb\u30df\u30fc\u30c8": 3, "\u534a\u6b63": 3, "\u5b9a\u5024": 3, "\u4fdd\u8a3c": [3, 6], "\u306a\u3044": [3, 6, 7, 8, 9, 12, 15, 16, 18, 21, 23, 25, 27, 28, 29], "\u4f4e\u304f": 3, "\u305f\u308a": 3, "\u3068\u3044\u3063": 3, "\u975e\u7269": 3, "\u7406\u7684": 3, "\u632f\u308b": [3, 26], "\u821e\u3044": [3, 26], "\u6539\u5584": 3, "\u56de\u907f": 3, "\u56de\u5fa9": 3, "\u4e0a\u3052\u308b": 3, "\uff08purification": 3, "\u63d0\u6848": 3, "[purification": 3, "\u6271\u3048\u308b": 3, "\u76f4\u63a5": [3, 18, 19, 24, 25, 26], "\u53c2\u8003": [3, 25, 27, 28], "\u6587\u732e": [3, 25, 28], "or": [3, 9, 12, 13, 14, 15, 16, 17], "\u00fas": 3, "practical": 3, "introduction": 3, "to": [3, 21, 23, 24], "networks": 3, "projected": 3, "entangled": 3, "pair": 3, "annals": 3, "physics": 3, "link": [3, 25, 28], "complex": [3, 24], "nature": 3, "review": 3, "\u897f\u91ce": 3, "\u53cb\u5e74": 3, "\u5927\u4e45": 3, "\u4fdd\u6bc5": 3, "\u5f62\u5f0f": [3, 9, 11, 12, 15, 16], "\u9032\u5c55": 3, "\u5fdc\u7528": 3, "\u65e5\u672c\u7269\u7406\u5b66": 3, "\u4f1a\u8a8c": 3, "\u60c5\u5831": [3, 5, 7, 8, 9, 11, 13, 15, 16, 17, 18, 20, 24, 27], "\u5727\u7e2e": 3, "\u30d5\u30e9\u30b9\u30c8\u30ec\u30fc\u30c8": 3, "\u78c1\u6027": [3, 15, 30], "\u30fb\u96fb\u5b50\u7248": 3, "schollwc": 3, "\u00f6k": 3, "density": [3, 24, 27], "-matrix": 3, "age": 3, "nishino": 3, "okunishi": 3, "corner": [3, 24], "method": 3, "soc": 3, "jpn": 3, "; r": 3, "vidal": 3, "simulation": 3, "two": [3, 9], "-dimensional": 3, "on": 3, "an": 3, "revisited": 3, "contraction": 3, "rev": [3, 9, 14, 15, 16, 25, 28], "corboz": 3, "et": 3, "al": 3, "competing": 3, "-j": [3, 23, 29], "model": [3, 10, 11, 20, 24, 25, 26, 27, 28], "uniform": 3, "-wave": 3, "versus": 3, "stripe": 3, "lett": [3, 25, 28], "jordan": 3, "classical": 3, "-size": 3, "spatial": 3, "dimensions": [3, 9, 21], "jiang": 3, "accurate": 3, "determination": 3, "models": 3, "wang": 3, "monte": 3, "carlo": 3, "with": [3, 24, 27], "kshetrimayum": 3, "rizzi": 3, "eisert": 3, "annealing": 3, "algorithm": 3, "thermal": 3, "czarnik": 3, "dziarmaga": 3, "time": [3, 9, 14, 15, 16, 20, 21, 24, 25], "efficient": 3, "from": [3, 24, 27], "first": [3, 21], "principles": 3, "\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0": [4, 22], "itps": [4, 22, 28], "\u7e2e\u7d04": [4, 22], "\u6700\u9069": [4, 9, 14, 15, 16, 22], "\u5b9f\u6642": [4, 9, 14, 15, 16, 22, 30], "\u9593\u767a\u5c55": [4, 22, 30], "\u8868\u73fe": [4, 9, 12, 15, 16, 17, 22, 25, 29], "\u306b\u95a2\u3059\u308b": [5, 7, 8, 9, 12, 14, 15, 16], "\u554f\u3044\u5408\u308f\u305b": 5, "\u3053\u3061\u3089": 5, "\u306b\u304a\u5bc4\u305b\u304f": 5, "\u3060\u3055\u3044": [5, 15, 19, 23, 24], "\u8cea\u554f": [5, 6], "\u30fb\u30d0\u30b0": 5, "\u5831\u544a": 5, "\u30d0\u30b0": 5, "\u95a2\u9023": 5, "github": [5, 23], "issues": 5, "\u53d7\u3051\u4ed8\u3051": 5, "\u65e9\u671f": 5, "\u89e3\u6c7a": 5, "\u30ac\u30a4\u30c9\u30e9\u30a4\u30f3": 5, "\u5f93\u3063": [5, 23], "\u4f7f\u7528": [5, 9, 22, 23, 25, 26], "\u30aa\u30da\u30ec\u30fc\u30c6\u30a3\u30f3\u30b0\u30b7\u30b9\u30c6\u30e0": 5, "\u30b3\u30f3\u30d1\u30a4\u30e9": 5, "\u540d\u524d": [5, 7, 8, 9, 12, 13, 14, 15, 16, 17, 20, 21, 29], "\u8a18\u8f09": [5, 19], "\u30a4\u30f3\u30b9\u30c8\u30fc\u30eb": [5, 22, 24], "cmake": [5, 23], "make": [5, 23], "\u5b9f\u884c": [5, 9, 13, 14, 15, 16, 19, 23, 24, 25, 26, 27, 28], "\u5165\u51fa": 5, "cmakecache": 5, ".txt": 5, "\u4e00\u7dd2": [5, 6, 26], "\u51fa\u529b": [5, 10, 11, 18, 20, 21, 22, 24, 25, 26, 27], "\u30c8\u30d4\u30c3\u30af": 5, "\u516c\u958b": 5, "\u76f8\u8ac7": 5, "\u3057\u3065\u3089\u3044": 5, "\u554f\u3044\u5408\u308f\u305b\u308b": 5, "\u9023\u7d61": 5, "\u30b3\u30f3\u30bf\u30af\u30c8": 5, "-mail": 5, "-dev": [5, 23], "__": 5, "at": [5, 9, 14, 15, 16], "issp": 5, ".u": 5, "-tokyo": 5, ".ac": 5, ".jp": 5, "(_": 5, "\u3042\u305f\u308a": [6, 13, 24], "\u5bc4\u305b": 6, "\u56de\u7b54": 6, "\u7d39\u4ecb": [6, 24, 25, 26, 27, 28], "q1": 6, "\u56de\u6570": [6, 7, 9, 14, 15, 16], "\u3068\u308c": 6, "\u3070\u3044\u3044": 6, "a1": 6, "\u4e0a\u304c\u308a": 6, "\u304b\u304b\u308b": [6, 9, 12, 16], "\u3002full": 6, "\u6027\u80fd": 6, "\u517c\u306d\u5408\u3044": 6, "\u306b\u3088\u3063\u3066": [6, 7, 9, 15, 16, 23], "\u6c7a\u3081\u308b": [6, 15], "\u3088\u3044": 6, "\u3067\u3057\u3087": 6, "\u69d8\u5b50": [6, 25, 27], "\u898b\u308b": [6, 25, 26, 27, 29], "\u306f\u3058\u3081": [6, 9, 16, 17], "\u307f\u308b": [6, 27, 29], "\u884c\u3044": [6, 9, 11, 14, 15, 16, 23, 25], "\u8fd1\u3065\u3044": 6, "\u8907\u96d1": 6, "\u6db2\u4f53": 6, "\u8fd1\u3065\u3051": 6, "q2": 6, "a2": 6, "\u5f90\u3005": [6, 24], "\u8fd1\u3065\u304f": 6, "\u306f\u305a": [6, 27], "\u591a\u3051\u308c": 6, "\u60aa\u304f": [6, 23], "\u3046\u307e\u304f\u3044\u3063": 6, "\u304b\u3069\u3046": [6, 7, 9, 14, 15, 16, 23], "\u5909\u3048": [6, 27], "\u30d7\u30ed\u30c3\u30c8": [6, 25], "\u3068\u308f\u304b\u308a": 6, "\u3002update": 6, "\u3068\u3053\u308d": [6, 27], "\u65b9\u91dd": 6, "\u5909\u308f\u3089": 6, "\u9650\u308a": 6, "q3": 6, "a3": 6, "\u5897\u3084\u3059": [6, 27, 28], "\u4e0a\u304c\u308b": 6, "\u9577\u304f": 6, "\u6a5f\u74b0": 6, "\u6c42\u3081": [6, 27], "\u8981\u6c42": 6, "\u30d0\u30e9\u30f3\u30b9": 6, "\u307f\u3066": 6, "\u5909\u5316": [6, 24, 27], "\u305b\u308b": [6, 27], "\u3068\u304d": [6, 7, 9, 15, 16, 17, 24, 27], ".virtual": 6, "_dim": [6, 9, 15, 16, 17, 20, 21, 24, 25, 26, 27, 29], "parameter": [6, 10, 11, 20, 21, 24, 25, 26, 27, 29], ".ctm": [6, 20, 21, 24, 25, 26, 27, 29], ".dimension": 6, "\u9023\u52d5": 6, "\u52d5\u304b\u3059": 6, "\u91cd\u8981": 6, "\u5f8c\u8005": 6, "\u4ee5\u4e0a": [6, 9, 12, 15, 16, 17], "\u53d6\u308a": [6, 18, 20, 21], "q4": 6, "\u6b63\u3057": 6, "\u691c\u8a0e": 6, "\u3069\u3046": [6, 11], "\u3059\u308c": 6, "\u78ba\u5b9f": 6, "\u96e3\u3057\u3044": [6, 26], "\u4e71\u6570": [6, 9, 14, 15, 16, 17], "\u8907\u6570": [6, 9, 12, 16, 17, 21], "\u7528\u610f": [6, 19, 25, 26], "\u78ba\u8a8d": [6, 23, 25, 28], "\u30c1\u30a7\u30c3\u30af": 6, "\u304b\u304b\u308a": [6, 28], "\u5916\u5834": 6, "\u304b\u3051": [6, 27], "\u5019\u88dc": 6, "\u914d\u7f6e": 6, "\u6709\u52b9": 6, "\u30e6\u30cb\u30c3\u30c8\u30bb\u30eb": [6, 8, 9, 15, 16, 17, 27, 28, 30], "\u30b5\u30a4\u30ba": [6, 7, 9, 12, 15, 16], "\u4ed6\u624b": 6, "\u3082\u304a\u52e7\u3081": 6, "\u3002(": 6, "\u4f7f\u3048": [6, 28], "\u3002)": 6, "\u76f8\u95a2\u9577": [7, 9, 11, 13, 15, 16], "\\xi": [7, 9, 13, 15, 16], "\u6307\u5b9a": [7, 8, 9, 12, 14, 15, 16, 17, 20, 21, 27, 28, 29], "\u8aac\u660e": [7, 8, 9, 11, 12, 14, 15, 16, 17, 19, 29], "\u30c7\u30d5\u30a9\u30eb\u30c8": [7, 9, 14, 15, 16, 17, 20, 21, 23], "measure": [7, 9, 13, 14, 15, 16, 26], "\u6e2c\u308b": [7, 8, 9, 15, 16], "\u771f\u507d\u5024": [7, 9, 14, 15, 16], "false": [7, 9, 13, 14, 15, 16, 24, 26], "num": [7, 9, 14, 15, 16, 20, 21, 23, 24, 25, 26, 27, 29], "_eigvals": [7, 9, 15, 16], "\u6574\u6570": [7, 8, 9, 12, 14, 15, 16, 17, 29], "maxdim": [7, 9, 15, 16], "_dense": [7, 9, 15, 16], "_eigensolver": [7, 9, 15, 16], "\u5bc6\u884c\u5217": [7, 9, 15, 16], "\u6700\u5927": [7, 8, 9, 14, 15, 16], "arnoldi": [7, 9, 15, 16], "_maxdim": [7, 9, 15, 16], "\u751f\u6210": [7, 9, 11, 14, 15, 16, 19, 20, 21], "hessenberg": [7, 9, 15, 16], "_restartdim": [7, 9, 15, 16], "\u30ea\u30b9\u30bf\u30fc\u30c8": [7, 9, 15, 16], "\u30d9\u30af\u30c8\u30eb": [7, 9, 15, 16], "\u672c\u6570": [7, 9, 15, 16], "_maxiterations": [7, 9, 15, 16], "\u30a4\u30c6\u30ec\u30fc\u30b7\u30e7\u30f3": [7, 9, 15, 16], "_rtol": [7, 9, 15, 16], "\u76ee\u6307\u3059": [7, 9, 15, 16], "\u76f8\u5bfe": [7, 9, 13, 15, 16], "\u6b8b\u5dee": [7, 9, 15, 16], "\u5b9f\u6570": [7, 9, 12, 14, 15, 16, 17], "1e": [7, 9, 13, 14, 15, 16], "\u5217\u5bfe": [7, 9, 15, 16], "\u89d2\u5316": [7, 9, 15, 16], "?geev": [7, 9, 15, 16], "\u30eb\u30fc\u30c1\u30f3": [7, 9, 15, 16], "\u305d\u3046": [7, 9, 12, 15, 16], "implicit": [7, 9, 15, 16], "restart": [7, 9, 15, 16], "ira": [7, 9, 15, 16], "\u65b0\u305f": [7, 9, 11, 15, 16], "arnodi": [7, 9, 15, 16], "\u3084\u308a": [7, 9, 15, 16], "\u76f4\u3057": [7, 9, 15, 16], ")\u3002": [7, 9, 15, 16, 17, 19, 24, 25, 26, 27, 29], "\u591a\u304f": [7, 9, 15, 16, 18], "boldsymbol": [8, 9, 16, 28], "{r": [8, 9, 16], ")b": [8, 9, 16], "+\\": [8, 9, 16], "\u7701\u7565": [8, 9, 12, 15, 16], "\u308c\u307e\u305b": [8, 9, 15, 16], "\u5ea7\u6a19": [8, 9, 12, 13, 15, 16, 20, 29], "\u6e2c\u3089": [8, 9, 16], "\u3002\u3059": [8, 9, 16], "\u306a\u308f\u3061": [8, 9, 16], "\u53f3\u96a3": [8, 9, 16, 29], "\\boldsymbol": [8, 9, 16, 28], "\u771f\u4e0a": [8, 9, 16], "\u4e2d\u5fc3": [8, 9, 15, 16], "\u3059\u3079": [8, 9, 16, 17], "\u5e73\u884c": [8, 9, 16], "\u65b9\u5411": [8, 9, 13, 15, 16, 17, 27, 28, 29], "\u5411\u304d": [8, 9, 13, 16], "\u52d5\u304d": [8, 9, 16], "text": [8, 9, 15, 16, 28], "{max": [8, 9, 15, 16], "_max": [8, 9, 13, 14, 15, 16, 24, 25, 26, 27, 29], "\u8ddd\u96e2": [8, 9, 16], "operators": [8, 9, 13, 16, 21, 24], "\u756a\u53f7": [8, 9, 12, 13, 14, 15, 16, 17, 20, 21, 29], "\u30ea\u30b9\u30c8": [8, 9, 12, 14, 15, 16, 17], "observable": [8, 10, 11, 13, 21, 24, 25, 26, 29], ".onesite": [8, 21, 29], "^x": [8, 9, 15, 16, 17, 24, 25, 26], "[correlation": [8, 9, 16], "]]": [8, 9, 12, 16, 21, 29], "(r": [8, 9, 15, 16, 28], "le": [8, 9, 12, 16], "\u6e2c\u5b9a": [8, 9, 11, 14, 15, 16], "\u30d5\u30a1\u30a4\u30eb\u30d5\u30a9\u30fc\u30de\u30c3\u30c8": [9, 15, 16, 19, 22], "toml": [9, 11, 15, 16, 21, 23, 24, 27, 28], "5\u3064": [9, 16], "\u6301\u3061": [9, 12, 14, 15, 16, 17], "\u66f4\u65b0": [9, 14, 15, 16], "\u3042\u3089\u308f": [9, 14, 15, 16], "\u7a2e\u3005": [9, 14, 15, 16], "\u30d1\u30e9\u30e1\u30fc\u30bf": [9, 11, 13, 14, 15, 16, 21, 24, 27, 28], "ctm": [9, 13, 14, 15, 16], "random": [9, 14, 15, 16, 27], "\u5168\u822c": [9, 14, 15, 16], "\u8a2d\u5b9a": [9, 12, 14, 15, 16, 24, 27, 28], "mode": [9, 13, 14, 15, 16, 25, 26], "\u30e2\u30fc\u30c9": [9, 10, 14, 15, 16], "\u6587\u5b57\u5217": [9, 12, 14, 15, 16, 29], "\"ground": [9, 14, 15, 16], "is": [9, 13, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "_real": [9, 13, 14, 15, 16, 20, 21, 24, 26, 27, 29], "\u3059\u3079\u3066": [9, 12, 14, 15, 16, 17, 29], "iszero": [9, 13, 14, 15, 16], "_tol": [9, 13, 14, 15, 16], "\u8aad\u307f\u8fbc\u307f": [9, 14, 15, 16, 25], "\u306b\u304a\u3044": [9, 14, 15, 16], "\u30bc\u30ed": [9, 12, 14, 15, 16, 17, 29], "\u307f\u306a\u3059": [9, 14, 15, 16], "\u7d76\u5bfe": [9, 13, 14, 15, 16, 28], "\u30ab\u30c3\u30c8\u30aa\u30d5": [9, 14, 15, 16], "\u304a\u3044": [9, 14, 15, 16, 18], "true": [9, 13, 14, 15, 16, 20, 21, 24, 25, 27, 29], "_interval": [9, 14, 15, 16, 26], "\u5b9f\u6642\u9593": [9, 10, 14, 15, 16, 25, 26], "\u983b\u5ea6": [9, 14, 15, 16], "output": [9, 13, 14, 15, 16, 24, 25, 26, 27, 29], "\u7269\u7406\u91cf": [9, 14, 15, 16], "\u66f8\u304d\u8fbc\u3080": [9, 14, 15, 16], "\u30c7\u30a3\u30ec\u30af\u30c8\u30ea": [9, 13, 14, 15, 16, 23, 24, 25, 26, 27, 28, 29], "\"output": [9, 14, 15, 16, 24, 27], "_save": [9, 13, 14, 15, 16, 25, 27, 29], "\u5316\u5f8c": [9, 14, 15, 16], "_load": [9, 13, 14, 15, 16, 25, 27, 29], "\u521d\u671f\u30c6\u30f3\u30bd\u30eb": [9, 14, 15, 16, 17], "\u8aad\u307f\u8fbc\u3080": [9, 14, 15, 16], "_std": [9, 10, 11, 14, 15, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29], "exp": [9, 14, 15, 16, 28], "(-": [9, 14, 15, 16, 17, 21], "\"time": [9, 14, 15, 16], "\"finite": [9, 14, 15, 16], "temperature": [9, 14, 15, 16, 26], "\u306b\u3059\u308b": [9, 14, 15, 16, 25, 26], "\u8907\u7d20": [9, 14, 15, 16], "\u30a8\u30e9\u30fc": [9, 12, 14, 15, 16, 17, 21, 23], "\u7d42\u4e86": [9, 12, 14, 15, 16, 17, 21, 23, 24, 25, 27, 28], "\u7a2e\u6f14": [9, 13, 14, 15, 16], "\u5b9f\u90e8": [9, 12, 13, 14, 15, 16, 29], "\u865a\u90e8": [9, 12, 13, 14, 15, 16, 29], "\u307f\u306a\u3057": [9, 14, 15, 16], "\u91cf\u8a08": [9, 14, 15, 16], "\u4fdd\u5b58": [9, 13, 14, 15, 16, 25, 26, 27, 29], "\u30b9\u30ad\u30c3\u30d7": [9, 14, 15, 16], ".dat": [9, 14, 15, 16, 20, 24, 25, 26, 27, 29], "\u7a7a\u6587": [9, 14, 15, 16], "\u5b57\u5217": [9, 14, 15, 16], "\u30ab\u30ec\u30f3\u30c8\u30c7\u30a3\u30ec\u30af\u30c8\u30ea": [9, 14, 15, 16], "(\u865a": [9, 14, 15, 16], "_step": [9, 13, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "lambda": [9, 13, 14, 15, 16], "_cutoff": [9, 13, 14, 15, 16], "\u5207\u308a": [9, 14, 15, 16], "\u95be\u5024": [9, 14, 15, 16], "gauge": [9, 14, 15, 16], "_fix": [9, 13, 14, 15, 16], "\u30b2\u30fc\u30b8": [9, 14, 15, 16], "\u56fa\u5b9a": [9, 14, 15, 16, 23], "_maxiter": [9, 13, 14, 15, 16], "\u64cd\u4f5c": [9, 14, 15, 16], "\u30eb\u30fc\u30d7": [9, 14, 15, 16], "_convergence": [9, 13, 14, 15, 16], "_epsilon": [9, 13, 14, 15, 16], "\u5224\u5b9a": [9, 14, 15, 16], "\u7d4c\u904e": [9, 14, 15, 16], "\u30fb\u9006\u6e29\u5ea6": [9, 14, 15, 16], "\u6c42\u3081\u308b": [9, 12, 14, 15, 16], "finite": [9, 14, 15, 16, 26], "calculation": [9, 14, 15, 16], "note": [9, 14, 15, 16], "that": [9, 14, 15, 16], "inverse": [9, 14, 15, 16, 26], "increase": [9, 14, 15, 16], "step": [9, 14, 15, 16, 20, 21], "because": [9, 14, 15, 16], "= u": [9, 14, 15, 16], "bar": [9, 14, 15, 16], "{u": [9, 14, 15, 16], "}(": [9, 14, 15, 16], "\u306a\u306e": [9, 14, 15, 16, 24, 25], "\u3054\u3068": [9, 12, 14, 15, 16, 24, 25, 29], "\u5897\u52a0": [9, 14, 15, 16, 27], "\u30b0\u30eb\u30fc\u30d7": [9, 14, 15, 16], "\u523b\u307f\u5e45": [9, 14, 15, 16, 25, 26, 27], "\u5909\u3048\u308b": [9, 14, 15, 16], "env": [9, 14, 15, 16], "cutoff": [9, 14, 15, 16], "_precision": [9, 13, 14, 15, 16], "\u64ec\u4f3c": [9, 14, 15, 16], "\u9006\u884c": [9, 14, 15, 16], "convergence": [9, 14, 15, 16], "truncation": [9, 14, 15, 16], "\u884c\u3046\u969b": [9, 14, 15, 16], "iteration": [9, 14, 15, 16, 24, 25, 26, 27, 29], "fastfullupdate": [9, 14, 15, 16], "fast": [9, 14, 15, 16], "dimension": [9, 14, 15, 16, 20, 21, 24, 25, 26, 27, 29], "projector": [9, 14, 15, 16], "_corner": [9, 13, 14, 15, 16], "use": [9, 13, 14, 15, 16, 20, 24], "_rsvd": [9, 13, 14, 15, 16], "\u4e71\u629e": [9, 14, 15, 16], "\u7f6e\u304d": [9, 14, 15, 16], "\u63db\u3048\u308b": [9, 14, 15, 16], "rsvd": [9, 13, 14, 15, 16], "_oversampling": [9, 13, 14, 15, 16], "_factor": [9, 13, 14, 15, 16], "\u4e71\u629esvd": [9, 14, 15, 16], "\u6bd4\u7387": [9, 14, 15, 16], "meanfield": [9, 13, 14, 15, 16, 24, 25], "_env": [9, 13, 14, 15, 16, 24, 25], "\u5834\u74b0": [9, 14, 15, 16], "\u4e71\u62d3svd": [9, 14, 15, 16], "\u7e70\u308a\u8fbc\u307f": [9, 14, 15, 16], "igarashi": [9, 14, 15, 16], ".-": [9, 14, 15, 16], "zhao": [9, 14, 15, 16], "\u53c2\u7167": [9, 13, 14, 15, 16, 18, 19, 20, 21, 23], "\u7591\u4f3c": [9, 14, 15, 16], "seed": [9, 13, 14, 15, 16], "\u30b7\u30fc\u30c9": [9, 14, 15, 16], "mpi": [9, 14, 15, 16, 24, 27], "\u30d7\u30ed\u30bb\u30b9": [9, 14, 15, 16, 23, 24], "\u8db3\u3057": [9, 14, 15, 16], "\u5b9f\u969b": [9, 11, 13, 14, 15, 16, 25, 27, 28], "[parameter": [9, 14, 15, 16, 21, 24, 25, 26, 27, 29], "no": [9, 14, 15, 16], "hamiltonian": [9, 10, 11, 12, 13, 17, 21, 24, 29], "lx": [9, 16, 17], "\u304b\u3051\u308b": [9, 15, 16, 17, 29], "ly": [9, 16, 17], "\u3082\u3064": [9, 16, 17, 28], "\u9577\u65b9": [9, 16, 17], "unitcell": [9, 16, 17, 20, 21, 29], "_sub": [9, 16, 17, 21, 29], "skew": [9, 13, 16, 17, 21, 29], "\u5883\u754c": [9, 15, 16, 17, 29], "\u30b7\u30d5\u30c8": [9, 16, 17], "2\u3064": [9, 12, 15, 16, 17, 28, 29], "\u6e21\u3057": [9, 16, 17], "\u7247\u65b9": [9, 16, 17], "3\u3064": [9, 12, 15, 16, 17, 27, 29], "\u3068\u304c": [9, 16, 17], "\u7b49\u3057\u304f": [9, 16, 17], "\u9806\u756a": [9, 12, 16, 17, 25], "\u4ed8\u3051": [9, 16, 17], "\u4e26\u3073": [9, 13, 15, 16, 17], "1\u3064": [9, 12, 16, 17, 29], "\u5206\u52d5": [9, 16, 17], "\u30ba\u30ec": [9, 16, 17], "\u7f6b\u7dda": [9, 16, 17], "\u533a\u5207\u308a": [9, 12, 16, 17], "\u30b5\u30a4\u30c8\u30c6\u30f3\u30bd\u30eb": [9, 16, 17], "ijkl": [9, 16, 17], "\\alpha": [9, 13, 15, 16, 17], "{(n": [9, 16, 17], "virtual": [9, 16, 17, 20, 21, 24, 25, 26, 27, 29], "bond": [9, 13, 16, 17, 20, 21, 24, 25, 26], "\u30a4\u30f3\u30c7\u30c3\u30af\u30b9": [9, 12, 16, 17], "physical": [9, 16, 17, 21, 29], "\u610f\u5473": [9, 12, 16, 17, 29], "index": [9, 16, 17, 21, 29], "initial": [9, 15, 16, 17, 20, 21, 24, 25, 27, 29], "_state": [9, 16, 17, 21, 29], "\u521d\u671f\u72b6\u614b": [9, 15, 16, 17, 29], "noise": [9, 15, 16, 17, 21, 29], "\u3086\u3089\u304e": [9, 15, 16, 17, 29], "\u6e21\u3059": [9, 12, 16, 17], "\u540c\u6642": [9, 12, 16, 17, 21], "\u500b\u5225": [9, 16, 17], ")\u3001": [9, 16, 17], "(+": [9, 16, 17], "otimes": [9, 16, 17, 29], "\u521d\u671f\u5316": [9, 16, 17], "alpha": [9, 13, 15, 16, 17, 27], "\u5b9f\u5c55": [9, 16, 17], "\u958b\u4fc2": [9, 16, 17], "\u81ea\u52d5": [9, 15, 16, 17, 23, 29], "\u898f\u683c": [9, 16, 17], "\u81ea\u4f53": [9, 16, 17], "\u30dc\u30f3\u30c9\u30a4\u30f3\u30c7\u30c3\u30af\u30b9": [9, 16, 17], "= a": [9, 16, 17], "-noise": [9, 16, 17], "\u4e00\u69d8": [9, 16, 17], "\u4e92\u3044": [9, 15, 16, 17], "\u305f\u3068\u3048": [9, 16, 17, 23, 25, 29], "\u5411\u3044": [9, 15, 16, 17, 29], "\u521d\u671f\u5024": [9, 16, 17], "(|": [9, 16, 17], "\\right": [9, 15, 16, 17], ")/": [9, 16, 17], "sqrt": [9, 15, 16, 17], "\u307f\u304b\u3089": [9, 16, 17], "\u914d\u5217": [9, 16, 17, 29], "\u671f\u5316": [9, 16, 17], "\u91cf\u6e2c": [9, 12, 15, 16], "\u8af8\u3005": [9, 12, 16], "onesite": [9, 12, 16, 21, 24, 29], "twosite": [9, 12, 16, 24, 29], "multisite": [9, 12, 16], "\u7a2e\u985e": [9, 12, 15, 16, 25, 26, 28], "\u3072\u3068\u3064": [9, 12, 16, 21], "\u793a\u3059": [9, 12, 15, 16, 25, 28, 29], "name": [9, 12, 13, 16, 21, 27, 29], "\u8b58\u5225": [9, 12, 13, 16, 29], "sites": [9, 12, 16, 21, 29], "dim": [9, 12, 16, 21, 29], "elements": [9, 12, 16, 21, 24, 29], "coeff": [9, 12, 16], "_im": [9, 12, 16], "\u6587\u5b57": [9, 12, 16], "\u7a7a\u767d": [9, 12, 16], "\u533a\u5207": [9, 12, 16], "\u6d6e\u52d5": [9, 12, 16], "\u5c0f\u6570": [9, 12, 16], "\u70b9\u6570": [9, 12, 16], "\u6700\u521d": [9, 12, 13, 16, 24, 25, 27, 29], "\u3042\u3068": [9, 12, 16, 25, 27], "sz": [9, 12, 13, 16, 21, 24, 25, 26, 27, 29], "begin": [9, 12, 16, 29], "{array": [9, 12, 16], "cc": [9, 12, 16], "end": [9, 12, 16, 24, 25, 26, 28, 29], "\u307e\u305a": [9, 12, 16, 28], "\u7570\u306a\u308b": [9, 12, 16], "\u8868\u793a": [9, 12, 16, 18, 20, 21, 24, 26], "\u59cb\u307e\u308a": [9, 12, 16], "\u4e26\u3079\u308c": [9, 12, 16], "\"\"": [9, 12, 16, 21, 29], "[observable": [9, 12, 16, 21, 29], "\u3075\u305f\u3064": [9, 12, 16], "bonds": [9, 12, 16, 21, 29], "ops": [9, 12, 16, 21, 29], "twosites": [9, 12, 16], "1\u884c": [9, 12, 16, 29], "\u59cb\u70b9": [9, 12, 16], "source": [9, 12, 13, 16, 29], "site": [9, 12, 13, 16, 21, 24, 29], "\u304b\u3089\u307f": [9, 12, 13, 16], "\u7d42\u70b9": [9, 12, 16], "target": [9, 12, 13, 16, 29], "dx": [9, 12, 13, 16], "dy": [9, 12, 13, 16], "\u3068\u3082\u306b": [9, 12, 16], "\u53ce\u307e\u308b": [9, 12, 16], "\u3059\u306a\u308f\u3061": [9, 12, 16, 29], "\u53d6\u308a\u3046\u308b": [9, 12, 16, 29], "4\u3064": [9, 12, 15, 16], "\u3064\u304e": [9, 12, 16], "_j": [9, 12, 15, 16, 28, 29], "lsub": [9, 12, 13, 16], "=[": [9, 12, 16], "\u30cf\u30a4\u30bc\u30f3\u30d9\u30eb\u30b0": [9, 12, 16, 20, 21, 30], "\u30dc\u30f3\u30c9\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3": [9, 12, 15, 16, 20], "= s": [9, 12, 16], "[s": [9, 12, 16], "^+": [9, 12, 16], "^-": [9, 12, 16], "2\u4f53": [9, 12, 16], "\\uparrow": [9, 12, 16, 27], "\\downarrow": [9, 12, 16, 27], "\u91cd\u306d\u5408\u308f\u305b": [9, 12, 16], "\u4e26\u3093": [9, 12, 15, 16], "\u4f4d\u7f6e": [9, 12, 16], "\u4e26\u3073\u9806": [9, 12, 16], "\u4ed8\u3051\u308b": [9, 12, 16], "| \\": [9, 12, 16], "\u975e\u5bfe": [9, 12, 16], "\u89d2\u9805": [9, 12, 16], "\u30cf\u30a4\u30bc\u30f3\u30d9\u30eb\u30b0\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3": [9, 12, 16], "\u307f\u3063\u3064": [9, 12, 16], "multisites": [9, 12, 16], "\u7d44\u307f\u5408\u308f\u305b": [9, 12, 16, 29], "\u3053\u308a": [9, 12, 16], "\u4e26\u3079": [9, 12, 15, 16], "_site": [9, 12, 13, 16], "dx2": [9, 12, 16], "...": [9, 12, 13, 16], "dxn": [9, 12, 16], "dyn": [9, 12, 16], "\u5f62\u5185": [9, 12, 16], "_js": [9, 12, 16], "_k": [9, 12, 16, 29], "\u96a3\u63a5": [9, 27, 28], "\u30d5\u30a3\u30fc\u30eb\u30c9": 9, "-)": 9, "_leg": 9, "\u307f\u306a\u3055": 9, "_steps": 9, "\u523b\u307f\u5e45\u3084": 9, "-x": 9, "\u6642\u8a08": 9, "\u56de\u308a": 9, ":-": 9, ":+": 9, "_initial": 9, "_final": 9, "[evolution": 9, "one": [9, 21], "\u7c21\u6613": [10, 22], "\u307e\u3068\u3081": [10, 22], "_simple": [10, 11, 19, 21, 22, 23, 24, 25, 26, 27, 28], "correlation": [10, 11], "_length": [10, 11], "\u5171\u901a": [10, 15], "\u66f8\u304b": [11, 23], "\u5206\u304b": 11, "\u81ea\u5206": [11, 19, 29], "\u8aad\u307f\u53d6\u308a": 11, "\u3055\u3089\u306b": [11, 21], "\u306f\u305d\u306e": 11, "\u6b21\u8868": 11, "\u6271\u3046": 11, "copy": 11, "out": 11, "\"in": 11, "\"out": 11, "\"copy": 11, "\u30b5\u30d6\u30bb\u30af\u30b7\u30e7\u30f3": [12, 14, 15], "\u7a2e\u8a08": 13, "\u7b97\u7d50": 13, "\u4f7f\u308f": [13, 15], "\u65e5\u6642": 13, "_num": 13, "_tau": 13, "_inverse": 13, "_lambda": 13, "_gauge": 13, "_projector": 13, "_iteration": 13, "_fastfullupdate": 13, "_dimension": [13, 25], "ground": 13, "lcor": 13, "_dir": [13, 27], "save": [13, 24, 25], "_tensor": [13, 25], "outdir": 13, "start": [13, 24], "_datetime": 13, "environmnent": [13, 24], "\u5404\u6f14": 13, "\u3060\u3063": 13, "\u304b\u308f\u308a": 13, "energy": [13, 24, 25, 26, 27], "sx": [13, 24, 25, 26], "sy": [13, 25, 26], "szsz": [13, 21, 24, 25, 26, 29], "sxsx": [13, 24, 25, 26], "sysy": [13, 24, 25, 26], "\\hat": 13, "{a": 13, "hat": 13, "\u5404\u884c": 13, "\u671f\u5f85\u5024": 13, "{re": 13, "{im": 13, "\u88dc\u52a9": 13, "\u91cf\u3068\u3057\u3066": 13, "\u6b8b\u3063": 13, "\u306a\u306b": 13, "\u8d77\u304d": 13, "\u5927\u62b5": 13, "\u5c0f\u3055\u3059\u304e\u308b": 13, "meaning": [13, 25, 26], "each": [13, 25, 26], "column": [13, 25, 26], "following": [13, 25, 26], "op": [13, 29], "_group": [13, 29], "_index": [13, 29], "real": [13, 20, 21, 24, 25, 26, 29], "imag": [13, 21, 25, 26, 29], "names": 13, "are": [13, 25, 26], "norm": 13, "skipped": [13, 29], "..": [13, 21, 23, 26, 29], "\u5909\u4f4d": [13, 29], "\u5165\u308a": 13, "\u5217\u76ee": [13, 20, 25, 26, 29], "\u57fa\u6e96": 13, "\u4ee5\u5916": [13, 16, 23], "\u76ee\u4ee5\u964d": 13, "(x": 13, "equiv": 13, "+x": 13, "+y": 13, "\u5de6\u6f14": 13, "\u53f3\u6f14": 13, "}c": 13, "_op": 13, "_dx": 13, "_dy": 13, "\u5bfe\u6570": 13, "log": 13, "\u898b\u7a4d": 13, "\u3082\u308c\u308b": 13, "\u304b\u3082": 13, "\u3057\u308c": 13, "\u8a73\u7d30": [13, 15, 18, 19, 20, 21, 24], "prx": 13, "direction": 13, "dir": 13, "coorinates": 13, "length": [13, 24], "xi": 13, "-:": 13, "eigenvalues": 13, "|t": 13, "/t": 13, "where": 13, "-th": 13, "largest": 13, "eigenvalue": 13, "id": [13, 25, 26], "ids": [13, 25, 26], "\u5148\u982d": 13, "\u306e\u304b\u308f\u308a": 13, "ft": [13, 25, 26], "\u30b9\u30bf\u30f3\u30c0\u30fc\u30c9\u30e2\u30fc\u30c9": [15, 22, 30], "\u6e08\u307f": [15, 20], "type": [15, 20, 21, 23, 24, 25, 26, 27, 28, 29], "\u3082\u3057\u304f": 15, "\")": [15, 24, 27], "\u5909\u308f\u308a": 15, "[\\": 15, ",y": 15, "^\\": [15, 28], "vec": 15, "{s": [15, 24, 25, 26, 27], "\\cdot": 15, "\\vec": 15, "- \\": 15, "(s": 15, "\u4e00\u4f53\u9805": 15, "\u901a\u308a": [15, 18, 20, 21], "\u534a\u6574": 15, "hx": [15, 24, 25, 26], "\u78c1\u5834": [15, 27, 30], "hy": 15, "^y": 15, "hz": [15, 27], "\u30aa\u30f3\u30b5\u30a4\u30c8\u30b9\u30d4\u30f3": 15, "\u7570\u65b9": 15, "\u3082\u305f\u305b\u308b": 15, "\u6700\u8fd1\u63a5": [15, 20, 29], "\u30fb\u7b2c": 15, "\u6b21\u8fd1\u63a5": 15, "''": 15, "\u4e09\u6b21": 15, "\u8fd1\u63a5": 15, "\u30c0\u30d6\u30eb\u30af\u30a9\u30fc\u30c6\u30fc\u30b7\u30e7\u30f3\u30de\u30fc\u30af": 15, "\u56f2\u3093": 15, "\u3067\u304f": 15, "\u4e00\u5ea6": 15, "xyz": 15, "\u306e\u3046\u3061": 15, "\u4e00\u6587\u5b57": 15, "\u8ffd\u52a0": [15, 23, 25, 26], "\u30a4\u30b8\u30f3\u30b0": [15, 22, 30], "\u4e00\u6210\u5206": 15, "\u3082\u305f\u305b": 15, "\u3001(": [15, 26], ".is": 15, "\u306a\u3089\u3070": 15, "+ d": 15, "=x": 15, "\u306f\u3072\u3068\u3064": 15, "\u4f38\u3073\u308b": 15, "\u5bc4\u4e0e": 15, "": 15, "\u30d5\u30a9\u30fc\u30de\u30c3\u30c8": [15, 19], "\u3054\u89a7\u304f": 15, "\u305d\u306e\u307e\u307e": [16, 29], "\u30b5\u30a4\u30c8\u30cf\u30df\u30eb\u30c8\u30cb\u30a2\u30f3": [16, 20], "\u6349\u3048": 16, "\u500b\u3005": 16, "\u3084\u308a\u304b\u305f": 16, "\u5224\u65ad": 16, "\u542b\u3080": 16, "\u542b\u3080\u304b": 16, "\u6c7a\u307e\u308a": 16, "\u3042\u308b\u3044": [16, 23], "\u30e1\u30a4\u30f3\u30d7\u30ed\u30b0\u30e9\u30e0": [18, 19], "input": [18, 21, 24, 27, 29], ".toml": [18, 20, 21, 24, 25, 26, 27, 28, 29], "\u5f15\u6570": [18, 20, 21], "\u30b3\u30de\u30f3\u30c9\u30e9\u30a4\u30f3\u30aa\u30d7\u30b7\u30e7\u30f3": [18, 20, 21], "-help": [18, 20, 21], "\u30d8\u30eb\u30d7\u30e1\u30c3\u30bb\u30fc\u30b8": [18, 20, 21], "-version": [18, 20, 21], "-quiet": 18, "\u6a19\u6e96": 18, "\u66f8\u304d\u51fa\u3055": 18, "\u6f14\u7b97": [19, 23], "\u3057\u3084\u3059\u3044": 19, "\u6240\u5b9a": 19, "\u5f93\u3044": 19, "\u5404\u7a2e": 19, "\u3092\u3054\u89a7\u304f": [19, 24], "\u30d5\u30ed\u30fc": 19, "-output": [20, 21], "=filename": [20, 21], "filename": [20, 21], "std": [20, 21, 24, 27, 28, 29], "-coordinatefile": 20, "=coordfile": 20, "coordfile": 20, "coordinates": 20, "\u30c7\u30ab\u30eb\u30c8": 20, "\u542b\u307f": 20, "-use": 20, "-site": 20, "-hamiltonian": 20, "\u30bc\u30fc\u30de\u30f3": 20, "\u306a\u304b\u3063": [20, 23], "\u73fe\u5728": [20, 29], "\u5de3\u683c\u5b50": 20, "\u304b\u3054\u3081": 20, "[lattice": [20, 27], "square": [20, 21, 24, 25, 26, 27, 29], "size": [20, 21], "antiferro": 20, "spin": [20, 24, 25, 26, 27], "heisenberg": 20, "interaction": 20, ".general": [20, 21, 24, 25, 26, 27, 29], ".simple": [20, 21, 24, 25, 26, 27, 29], "_update": [20, 21, 24, 25, 26, 27, 29], "number": [20, 21, 24], "steps": [20, 21, 24], ".full": [20, 21, 24, 25, 26, 27, 29], "\u9593\u523b": 21, "\\exp": 21, "\u5c0e\u51fa": 21, ".]": [21, 24], "\u5f8c\u308d": 21, "\u5185\u5bb9": [21, 27, 28, 29], "\u8ffd\u8a18": [21, 28], "\u306a\u3048": 21, "limit": [21, 24], "tensors": [21, 24], "as": [21, 24, 27], "-valued": 21, "ones": 21, "boundary": 21, "condition": [21, 24], ".unitcell": [21, 29], "[[": [21, 29], "# (": 21, "information": 21, "second": 21, "coord": 21, "other": 21, "third": 21, "nonzero": 21, "final": 21, "fourth": 21, "fifth": 21, "part": 21, "sixth": 21, "observables": [21, 24, 29], "be": 21, "acted": 21, ".twosite": [21, 29], "\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9": 22, "\u30e9\u30a4\u30d6\u30e9\u30ea": 22, "\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb": [22, 25, 26], "\u6a2a\u78c1\u5834": [22, 30], "\u4e09\u89d2\u683c\u5b50": [22, 30], "\u30fb\u6b63\u65b9": [22, 30], "\u30cf\u30a4\u30bc\u30f3\u30d9\u30eb\u30af": [22, 28, 30], "\u4e09\u89d2\u683c\u5b50\u4e0a": [22, 30], "\u30cf\u30fc\u30c9\u30b3\u30a2\u30dc\u30be\u30f3": [22, 30], "\u76f8\u56f3": [22, 30], "\u30fb\u6a21\u578b": [22, 30], "\u30fb\u6f14\u7b97\u5b50": [22, 30], "faq": 22, "\u8b1d\u8f9e": 22, "\u304a\u554f\u3044": 22, "\u5408\u308f": 22, "\u7d22\u5f15": 22, "\u30e2\u30b8\u30e5\u30fc\u30eb": 22, "\u691c\u7d22": 22, "\u30da\u30fc\u30b8": 22, "page": 23, "\u3002git": 23, "\u30b3\u30de\u30f3\u30c9": [23, 26], "\u6253\u3064": 23, "\u958b\u59cb": [23, 24], "git": 23, "clone": 23, "https": 23, ":/": 23, ".com": 23, "/issp": 23, "-center": 23, "/tenes": 23, "\u30b3\u30f3\u30d1\u30a4\u30eb": 23, "++": 23, "compiler": 23, ">=": 23, "blas": 23, "lapack": 23, "cpptoml": 23, "\u81ea\u8eab": 23, "debian": 23, "/linux": 23, "\u3084\u305d\u306e": 23, "\u6d3e\u751f": 23, "\u30c7\u30a3\u30b9\u30c8\u30ea\u30d3\u30e5\u30fc\u30b7\u30e7\u30f3": 23, "\u304a\u4f7f\u3044": 23, "root": 23, "\u6a29\u9650": 23, "\u304a\u6301\u3061": 23, "sudo": 23, "apt": 23, "install": 23, "openmpi": 23, "-bin": 23, "libopenmpi": 23, "libscalapack": 23, "-mpi": 23, "open": [23, 24, 27], "\u5b9f\u88c5": 23, "\u306a\u3089\u3073": 23, "\u30db\u30fc\u30e0\u30da\u30fc\u30b8": 23, "\u30d1\u30c3\u30b1\u30fc\u30b8": 23, "numpy": [23, 24, 27], "scipy": 23, "\u306e\u3061": [23, 24], "\u624b\u9806": 23, "centos": 23, "\u3068\u3059\u308b": [23, 29], "mkdir": 23, "build": 23, "cd": 23, "dcmake": 23, "_install": 23, "_prefix": 23, "=<": 23, "path": [23, 24], "/": 23, "bin": 23, "-denable": 23, "_mpi": 23, "=off": 23, "macos": 23, "\u30b7\u30b9\u30c6\u30e0": 23, "\u76f8\u6027": 23, "\u63a8\u5968": 23, "\u691c\u51fa": 23, "_cxx": 23, "_compiler": 23, "your": 23, "\u898b\u3064\u3051": 23, "lib": 23, "/libscalapack": 23, ".so": 23, "dscalapack": 23, "_root": 23, "\u4e8b\u524d": 23, "/mptensor": 23, ".a": 23, "dmptensor": 23, "\u30d1\u30b9": [23, 24, 25, 26, 27, 28], "\u901a\u3063": 23, "\u8d77\u52d5": [23, 25, 27, 28], "\u3046\u307e\u304f": 23, "\u884c\u304b": 23, "/bin": 23, "/env": 23, "\u3067\u304d\u305a": 23, "\u51fa\u308b": 23, "dtenes": 23, "_python": 23, "_executable": 23, "interpreter": 23, "\u6a2a\u78c1": [24, 25, 26], "\\begin": [24, 25, 26, 27, 28, 29], "{aligned": [24, 25, 26, 27, 28], "- h": [24, 25, 26, 27], "\u30d1\u30a6\u30ea": [24, 25, 26], "\u5909\u6570": 24, "\u8abf\u6574": 24, "not": 24, "slice": 24, "environment": 24, "contract": 24, "maximum": 24, "iterations": 24, "unit": 24, "cell": 24, "bulk": 24, "ferro": [24, 25], "jz": [24, 25, 26], "jx": [24, 25, 26], "jy": [24, 25, 26], "\u3002\uff09": 24, "processes": 24, "threads": 24, "process": [24, 27], "done": 24, "calculating": 24, "updating": 24, "_obs": [24, 28, 29], "densities": 24, "elapsed": 24, "per": [24, 29], "wall": 24, "sec": 24, "\u5b9f\u865a": 24, "\u30d5\u30a7\u30fc\u30ba": 24, "parameters": 24, "\u304c\u305d\u308c\u305e\u308c": 24, "\u5404\u51fa": 24, "4.3. 横磁場イジング模型の有 gnuplot -persist plot_mz.plt -

その結果を 図 4.4 に示します。 -比較のため、量子モンテカルロ法を用いて計算した結果も一緒に表示しています ( ALPS/looper を使用)。

-
-../_images/tutorial_08_finitetemperature.png +

その結果を 図 4.4 に示します。 +比較のため、量子モンテカルロ法を用いて計算した結果も一緒に表示しています ( DSQSS/dla を使用)。

+
+../_images/tutorial_03_finitetemperature.png
-

図 4.4 イジング模型の有限温度計算の図: (a) エネルギー、(b) 比熱、(c) \(m_x\) 、(d) \(m_z\). 縦軸は物理量、横軸は温度を表す。

+

図 4.4 イジング模型の有限温度計算の図: (a) エネルギー、(b) 比熱、(c) 横磁化、(d) 縦磁化. 縦軸は物理量、横軸は温度を表す。 +実線はTeNeSによる計算で、四角はDSQSS/dla によるQMC計算（縦磁化は対称性により0）。