Source code for qtealeaves.observables.timecorrelator

# This code is part of qtealeaves.
#
# This code is licensed under the Apache License, Version 2.0. You may
# obtain a copy of this license in the LICENSE.txt file in the root directory
# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
#
# Any modifications or derivative works of this code must retain this
# copyright notice, and modified files need to carry a notice indicating
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"""
The time correlator measures the correlation ``<A_i(t=0) B_j(t)>`` during
a time evolution. The index `i` is fixed, while `j` is running over the
system size. It cannot be used for fermionic operators.
"""
from collections.abc import Iterator
from typing import Any, Self

import h5py
import numpy as np

from qtealeaves.tooling import QTeaLeavesError

from .tnobase import _TNObsBase

__all__ = ["TimeCorr"]

_AbstractTN = Any


[docs] class TimeCorr(_TNObsBase): """Correlation ``<A_i(t=0) B_j(t)>``. Currently no measurable ansatz. **Arguments** name : str Define a label under which we can finde the observable in the result dictionary. operator : list of two strings Identifiers/strings for the operators to be measured. The first operator is applied at `t=0`, the second at all `t` during measurements of the time evolution. site_idx : int Specify on which site the first operator should be measured on. """ _measurable_ansaetze = () def __init__(self, name: str, operators: list[str], site_idx: int) -> None: super().__init__(name) self.operators = [operators] self.site_inds = [site_idx]
[docs] @classmethod def empty(cls) -> Self: """ Documentation see :func:`_TNObsBase.empty`. """ obj = cls("", [], -1) obj.name = [] obj.operators = [] obj.site_inds = [] return obj
def __iadd__(self, other: Any) -> Self: """ Documentation see :func:`_TNObsBase.__iadd__`. """ if isinstance(other, TimeCorr): self.name += other.name self.operators += other.operators self.site_inds += other.site_inds else: raise QTeaLeavesError( f"__iadd__ not defined for types {type(self)} and {type(other)}." ) return self
[docs] def collect_operators(self) -> Iterator[tuple[str, str]]: """ Documentation see :func:`_TNObsBase.collect_operators`. """ for elem in self.operators: yield (elem[0], "l") yield (elem[1], "r")
[docs] def write_results( self, fh: h5py.File, state_ansatz: type[_AbstractTN], **kwargs: Any ) -> None: """ See :func:`_TNObsBase.write_results`. """ is_measured = self.check_measurable(state_ansatz) fg = fh.create_group(str(self), track_order=True) fg.attrs["is_measured"] = is_measured if is_measured: for name in self.name: corr_mat = self.results_buffer[name] if np.any(np.abs(np.imag(corr_mat)) > 1e-12): # write as complex fg.create_dataset(name, data=corr_mat) else: # write as real fg.create_dataset(name, data=np.real(corr_mat)) self.results_buffer = {}