TimeDependentCorrelation

Inheritance Diagram

Inheritance diagram of tenpy.simulations.time_evolution.TimeDependentCorrelation

Methods

TimeDependentCorrelation.__init__(options, *)

TimeDependentCorrelation.apply_operator_t0_to_psi()

TimeDependentCorrelation.eps_error()

Accumulated eps error since the start of the time-evolution.

TimeDependentCorrelation.estimate_RAM()

Estimates the RAM usage for the simulation, without running it.

TimeDependentCorrelation.final_measurements()

Do nothing.

TimeDependentCorrelation.fix_output_filenames()

Determine the output filenames.

TimeDependentCorrelation.from_saved_checkpoint([...])

Re-initialize a given simulation class from checkpoint results.

TimeDependentCorrelation.get_backup_filename(...)

Extract the name used for backups of output_filename.

TimeDependentCorrelation.get_measurement_psi_model(...)

Get psi for measurements.

TimeDependentCorrelation.get_output_filename()

Read out the output_filename from the options.

TimeDependentCorrelation.get_resume_data()

Get resume data for a Simulation.

TimeDependentCorrelation.get_version_info()

Try to save version info which is necessary to allow reproducibility.

TimeDependentCorrelation.group_sites_for_algorithm()

Coarse-grain the model and state for the algorithm.

TimeDependentCorrelation.group_split()

Split sites of psi that were grouped in group_sites_for_algorithm().

TimeDependentCorrelation.handle_abort_signal(...)

Handle a SIGINT signal, usually caused by a CTRL-C press.

TimeDependentCorrelation.init_algorithm(**kwargs)

Initialize the algorithm.

TimeDependentCorrelation.init_cache()

Initialize the cache from the options.

TimeDependentCorrelation.init_measurements()

Initialize and prepare measurements.

TimeDependentCorrelation.init_model()

Initialize a model from the model parameters.

TimeDependentCorrelation.init_state()

Initialize a tensor network psi.

TimeDependentCorrelation.m_correlation_function(...)

Measurement function for time dependent correlations.

TimeDependentCorrelation.make_measurements()

Perform measurements and merge the results into self.results['measurements'].

TimeDependentCorrelation.ov_error()

Total ov error of the time-evolution.

TimeDependentCorrelation.perform_measurements()

Emits the measurement_event to call measurement functions and collect results.

TimeDependentCorrelation.prepare_results_for_save()

Bring the results into a state suitable for saving.

TimeDependentCorrelation.resume_run()

Resume a simulation that was initialized from a checkpoint.

TimeDependentCorrelation.resume_run_algorithm()

Resume running the algorithm.

TimeDependentCorrelation.run()

Run the whole simulation.

TimeDependentCorrelation.run_algorithm()

Run the algorithm.

TimeDependentCorrelation.run_post_processing()

Apply (several) post-processing steps.

TimeDependentCorrelation.save_at_checkpoint(...)

Save the intermediate results at the checkpoint of an algorithm.

TimeDependentCorrelation.save_results([results])

Save the results to an output file.

TimeDependentCorrelation.walltime()

Wall time evolved since initialization of the simulation class.

Class Attributes and Properties

TimeDependentCorrelation.default_algorithm

name of the default algorithm engine class

TimeDependentCorrelation.default_measurements

tuples as for Simulation.connect_measurements that get added if the Simulation.use_default_measurements is True.

TimeDependentCorrelation.default_post_processing

tuples as for Simulation.run_post_processing, same structure as for measurements

TimeDependentCorrelation.logger

class attribute.

class tenpy.simulations.time_evolution.TimeDependentCorrelation(options, *, ground_state_data=None, ground_state_filename=None, **kwargs)[source]

Bases: RealTimeEvolution

Specialized RealTimeEvolution to calculate a time dependent correlation function of a ground state.

In general this calculates an overlap of the form \(C(r, t) = <\psi_0| B_r(t) A_{r_0} |\psi_0>\) where \(A_{r_0}\) can be passed as a simple on-site operator (on site r0) or as a product operator acting on several sites. The operator B is currently restricted to a single-site operator. However, passing B as a list [B_1, B_2, B_3] to calculate several overlaps is possible. This class assumes that \(|\psi_0>\) is a ground-state. In order to evolve arbitrary initial states, the TimeDependentCorrelationEvolveBraKet should be used.

Parameters:

Options

config TimeDependentCorrelation
option summary

algorithm_class (from Simulation) in Simulation.init_algorithm

Class or name of a subclass of :class:`~tenpy.algorithms.algorithm.Algorith [...]

algorithm_params (from Simulation) in Simulation.init_algorithm

Dictionary with parameters for the algorithm; see the documentation of the [...]

cache_params (from Simulation) in GroundStateSearch.init_cache

Dictionary with parameters for the cache, see [...]

cache_threshold_chi (from Simulation) in GroundStateSearch.init_cache

If the `algorithm_params.trunc_params.chi_max` in :attr:`options` is smalle [...]

canonicalize_before_measurement (from Simulation) in GroundStateSearch.init_measurements

If True, call `psi.canonical_form()` on the state used for measurement.

connect_algorithm_checkpoint (from Simulation) in Simulation.init_algorithm

Functions to connect to the :attr:`~tenpy.algorithms.Algorithm.checkpoint` [...]

connect_measurements (from Simulation) in GroundStateSearch.init_measurements

Functions to connect to the :attr:`measurement_event`. [...]

directory (from Simulation) in Simulation

If not None (default), switch to that directory at the beginning of the sim [...]

final_time (from TimeEvolution) in RealTimeEvolution

Mandatory. Perform time evolution until ``engine.evolved_time`` reaches thi [...]

ground_state_filename

a filename of a given ground state search (ideally a hdf5 file coming from [...]

group_sites (from Simulation) in GroundStateSearch.group_sites_for_algorithm

How many sites to group. 1 means no grouping.

group_to_NearestNeighborModel (from Simulation) in GroundStateSearch.group_sites_for_algorithm

If True, convert the grouped model to a [...]

initial_state_builder_class (from Simulation) in GroundStateSearch.init_state

Class or name of a subclass of :class:`~tenpy.networks.mps.InitialStateBuil [...]

initial_state_params (from Simulation) in GroundStateSearch.init_state

Dictionary with parameters for building `psi`; see the documentation of the [...]

log_params (from Simulation) in Simulation

Log parameters; see :cfg:config:`log`.

max_errors_before_abort (from Simulation) in Simulation

We safeguard measurements with a try-except block to avoid loosing results [...]

measure_at_algorithm_checkpoints (from Simulation) in GroundStateSearch.init_measurements

Defaults to False. If True, make measurements at each algorithm checkpoint. [...]

measure_initial (from Simulation) in GroundStateSearch.init_measurements

Whether to perform a measurement on the initial state, i.e., before startin [...]

model_class (from Simulation) in GroundStateSearch.init_model

Mandatory. Class or name of a subclass of :class:`~tenpy.models.model.Model`.

model_params (from Simulation) in GroundStateSearch.init_model

Dictionary with parameters for the model; see the documentation of the [...]

operator_t in SpectralSimulation.m_correlation_function

The (on-site) operator(s) as string(s) to apply at each measurement step. [...]

output_filename (from Simulation) in GroundStateSearch.get_output_filename

If ``None`` (default), no output is written to files. [...]

output_filename_params (from Simulation) in GroundStateSearch.get_output_filename

Instead of specifying the `output_filename` directly, this dictionary descr [...]

overwrite_output (from Simulation) in GroundStateSearch.fix_output_filenames

Only makes a difference if `skip_if_output_exists` is False and the file ex [...]

random_seed (from Simulation) in Simulation

If not ``None``, initialize the (legacy) numpy random generator with the gi [...]

safe_write (from Simulation) in GroundStateSearch.fix_output_filenames

If True (default), perform a "safe" overwrite of `output_filename` as descr [...]

save_every_x_seconds (from Simulation) in GroundStateSearch.save_at_checkpoint

By default (``None``), this feature is disabled. [...]

save_psi (from Simulation) in GroundStateSearch.init_state

Whether the final :attr:`psi` should be included into the output :attr:`res [...]

sequential (from Simulation) in Simulation

Parameters for running simulations sequentially, see :cfg:config:`sequentia [...]

skip_if_output_exists (from Simulation) in GroundStateSearch.fix_output_filenames

If True, raise :class:`Skip` if the output file already exists.

use_default_measurements (from Simulation) in GroundStateSearch.init_measurements

Each Simulation class defines a list of :attr:`default_measurements` in the [...]

option ground_state_filename: str

a filename of a given ground state search (ideally a hdf5 file coming from a finished run of a GroundStateSearch)

default_measurements = [('tenpy.simulations.measurement', 'm_measurement_index', {}, 1), ('tenpy.simulations.measurement', 'm_bond_dimension'), ('tenpy.simulations.measurement', 'm_entropy'), ('tenpy.simulations.measurement', 'm_evolved_time'), ('simulation_method', 'wrap eps_error'), ('simulation_method', 'wrap ov_error'), ('simulation_method', 'm_correlation_function')]

tuples as for Simulation.connect_measurements that get added if the Simulation.use_default_measurements is True.

resume_run()[source]

Resume a simulation that was initialized from a checkpoint.

Returns:

results – The results as returned by prepare_results_for_save().

Return type:

dict

get_resume_data()[source]

Get resume data for a Simulation.

Return data from get_resume_data() in base Simulation. Subclasses should override this with resume_data = super().get_resume_data(), s.t. Simulation specific data can easily be returned for resume_data.

init_measurements()[source]

Initialize and prepare measurements.

Options

option Simulation.connect_measurements: list of tuple

Functions to connect to the measurement_event. Each tuple can be of length 2 to 4, with entries (module, function, kwargs, priority), the last two optionally. The mandatory module and function specify a callback measurement function. kwargs can specify extra keyword-arguments for the function, priority allows to tune the order in which the measurement functions get called. See connect_by_name() for more details.

option Simulation.use_default_measurements: bool

Each Simulation class defines a list of default_measurements in the same format as Simulation.connect_measurements. This flag allows to explicitly disable them.

option Simulation.measure_initial: bool

Whether to perform a measurement on the initial state, i.e., before starting the algorithm run.

option Simulation.measure_at_algorithm_checkpoints: bool

Defaults to False. If True, make measurements at each algorithm checkpoint. This can be useful to study e.g. the DMRG convergence with the number of sweeps. Note that (depending on the algorithm) psi might not be in canonical form during the algorithm run. In that case, you might need to also enable the canonicalize_before_measurement option to get correct e.g. correct long-range correlation functions. (On the other hand, local onsite expectation values are likely fine without the explicit canonical_form() call.)

option Simulation.canonicalize_before_measurement: bool

If True, call psi.canonical_form() on the state used for measurement.

init_state()[source]

Initialize a tensor network psi.

Skips initialization if psi is already set.

Options

option Simulation.initial_state_builder_class: str | class

Class or name of a subclass of InitialStateBuilder. Used to initialize psi according to the initial_state_params.

option Simulation.initial_state_params: dict

Dictionary with parameters for building psi; see the documentation of the initial_state_builder_class, e.g. InitialStateBuilder.

option Simulation.save_psi: bool

Whether the final psi should be included into the output results.

init_algorithm(**kwargs)[source]

Initialize the algorithm.

If results has ‘resume_data’, it is read out, used for initialization and removed from the results.

Parameters:

**kwargs – Extra keyword arguments passed on to the Algorithm.__init__(), for example the resume_data when calling resume_run.

Options

option Simulation.algorithm_class: str | class

Class or name of a subclass of Algorithm. The engine of the algorithm to be run.

option Simulation.algorithm_params: dict

Dictionary with parameters for the algorithm; see the documentation of the algorithm_class.

option Simulation.connect_algorithm_checkpoint: list of tuple

Functions to connect to the checkpoint event of the algorithm. Each tuple can be of length 2 to 4, with entries (module, function, kwargs, priority), the last two optionally. The mandatory module and function specify a callback measurement function. kwargs can specify extra keyword-arguments for the function, priority allows to tune the order in which the measurement functions get called. See connect_by_name() for more details.

m_correlation_function(results, psi, model, simulation, **kwargs)[source]

Measurement function for time dependent correlations.

For each operator in operator_t`, his calculates the overlap of \(<\psi| op_j |\phi>\), where \(|phi> = e^{-iHt} op1_{idx} |\psi_0>\) (the time evolved state after op1 was applied at MPS position idx) and \(<psi| = e^{i E_0 t} <\psi|\).

Options

option TimeDependentCorrelation.operator_t: str | list

The (on-site) operator(s) as string(s) to apply at each measurement step. If a list is passed i.e.: ['op1', 'op2'], it will be iterated through the operators

default_algorithm = 'TEBDEngine'

name of the default algorithm engine class

default_post_processing = []

tuples as for Simulation.run_post_processing, same structure as for measurements

eps_error()[source]

Accumulated eps error since the start of the time-evolution.

To get the eps error induced at each loop of 'N_steps' in the time evolution, a finite difference scheme could be used as the eps errors get simply added i.e., np.diff(eps_error). Utility measurement method similar to walltime(), but appended to default_measurements of this simulation class.

Warning

This is only the sum of the discarded Schmidt values and does not take into account e.g., errors induced by time discretization. See truncation.

Returns:

eps – Accumulated eps error (sum of the discarded Schmidt values) since the start of the time-evolution.

Return type:

float

estimate_RAM()[source]

Estimates the RAM usage for the simulation, without running it.

Returns:

RAM – The expected RAM usage in kB.

Return type:

int

final_measurements()[source]

Do nothing.

We already performed a set of measurements after the evolution in run_algorithm().

fix_output_filenames()[source]

Determine the output filenames.

This function determines the output_filename and writes a one-line text into that file to indicate that we’re running a simulation generating it. Further, _backup_filename is determined.

Options

option Simulation.skip_if_output_exists: bool

If True, raise Skip if the output file already exists.

option Simulation.overwrite_output: bool

Only makes a difference if skip_if_output_exists is False and the file exists. In that case, with overwrite_output, just save everything under that name again, or with overwrite_output`=False, replace ``filename.ext` with filename_01.ext (and further increasing numbers) until we get a filename that doesn’t exist yet.

option Simulation.safe_write: bool

If True (default), perform a “safe” overwrite of output_filename as described in save_results().

classmethod from_saved_checkpoint(filename=None, checkpoint_results=None, **kwargs)[source]

Re-initialize a given simulation class from checkpoint results.

You should probably call resume_run() after successful initialization.

Instead of calling this directly, consider using resume_from_checkpoint().

Parameters:
  • filename (None | str) – The filename of the checkpoint to be loaded. You can either specify the filename or the checkpoint_results.

  • checkpoint_results (None | dict) – Alternatively to filename the results of the simulation so far, i.e. directly the data dictionary saved at a simulation checkpoint.

  • **kwargs – Further keyword arguments given to the Simulation.__init__.

get_backup_filename(output_filename)[source]

Extract the name used for backups of output_filename.

Parameters:

output_filename (pathlib.Path) – The filename where data is saved.

Returns:

backup_filename – The filename where to keep a backup while writing files to avoid.

Return type:

pathlib.Path

get_measurement_psi_model(psi, model)[source]

Get psi for measurements.

Sometimes, the psi we want to use for measurements is different from the one the algorithm actually acts on. Here, we split sites, if they were grouped in group_sites_for_algorithm().

Parameters:
  • psi – Tensor network; initially just self.psi. The method should make a copy before modification.

  • model – Model matching psi (in terms of indexing, MPS order, grouped sites, …) Initially just self.model.

Returns:

  • psi – The psi suitable as argument for generic measurement functions.

  • model – Model matching psi (in terms of indexing, MPS order, grouped sites, …)

get_output_filename()[source]

Read out the output_filename from the options.

You can easily overwrite this method in subclasses to customize the outputfilename depending on the options passed to the simulations.

Options

option Simulation.output_filename: path_like | None

If None (default), no output is written to files. If a string, this filename is used for output (up to modifications by fix_output_filenames() to avoid overwriting previous results).

option Simulation.output_filename_params: dict

Instead of specifying the output_filename directly, this dictionary describes the parameters that should be included into it. Entries of the dictionary are keyword arguments to output_filename_from_dict() with the simulation parameters (Simulation, or equivalently options) as options.

Returns:

output_filename – Filename for output; None disables any writing to files. Relative to Simulation.directory, if specified. The file ending determines the output format.

Return type:

str | None

get_version_info()[source]

Try to save version info which is necessary to allow reproducibility.

group_sites_for_algorithm()[source]

Coarse-grain the model and state for the algorithm.

Options

option Simulation.group_sites: int

How many sites to group. 1 means no grouping.

option Simulation.group_to_NearestNeighborModel: bool

If True, convert the grouped model to a NearestNeighborModel. Use this if you want to run TEBD with a model that was originally next-nearest neighbor.

group_split()[source]

Split sites of psi that were grouped in group_sites_for_algorithm().

handle_abort_signal(signum, frame)[source]

Handle a SIGINT signal, usually caused by a CTRL-C press.

When the user presses Ctrl-C the first time, we just print a message to stderr that we received the signal and set the flag received_signal_sigint. This allows the simulation to “exit gracefully”: it will continue until the next algorithm checkpoint, where save_at_checkpoint() checks for this flag, and if set, saves the results obtained so far and only then raises KeyboardInterrupt.

When Ctrl-C is presssed a second time, we immediately raise a KeyboardInterrupt.

This feature is especially handy to gracefully interrupt long-running simulations. When running in an HPC cluster linux environment, you can usually still send the SIGINT signal, e.g. with SLURM you can call scancel --signal=INT 1234 for the job ide 1234.

init_cache()[source]

Initialize the cache from the options.

This method is only called automatically when the simulation is used in a with ... statement. This is the case if you use run_simulation(), etc.

Options

option Simulation.cache_threshold_chi: int

If the algorithm_params.trunc_params.chi_max in options is smaller than this threshold, do not initialize a (non-trivial) cache.

option Simulation.cache_params: dict

Dictionary with parameters for the cache, see open().

init_model()[source]

Initialize a model from the model parameters.

Skips initialization if model is already set.

Options

option Simulation.model_class: str | class

Mandatory. Class or name of a subclass of Model.

option Simulation.model_params: dict

Dictionary with parameters for the model; see the documentation of the corresponding model_class.

logger = <Logger tenpy.simulations.simulation.Simulation (WARNING)>

class attribute.

Type:

logger

Type:

An instance of a logger; see Logging and terminal output. NB

make_measurements()[source]

Perform measurements and merge the results into self.results['measurements'].

ov_error()[source]

Total ov error of the time-evolution.

Similar to eps_error(), but for the overlap (which gets multiplied at each step).

Returns:

ov – Total ov error since the start of the time-evolution.

Return type:

float

perform_measurements()[source]

Emits the measurement_event to call measurement functions and collect results.

Returns:

results – The results from calling the measurement functions.

Return type:

dict

prepare_results_for_save()[source]

Bring the results into a state suitable for saving.

For example, this can be used to convert lists to numpy arrays, to add more meta-data, or to clean up unnecessarily large entries.

Options

Cfg:configoptions ::

Simulation

save_resume_databool

If True, include data returned by get_resume_data() into the output as resume_data.

Returns:

results – A copy of results containing everything to be saved. Measurement results are converted into a numpy array (if possible).

Return type:

dict

resume_run_algorithm()[source]

Resume running the algorithm.

Calls self.engine.resume_run().

run()[source]

Run the whole simulation.

Returns:

results – The results as returned by prepare_results_for_save().

Return type:

dict

run_algorithm()[source]

Run the algorithm.

Calls self.engine.run() and make_measurements().

run_post_processing()[source]

Apply (several) post-processing steps.

post_processinglist of tuple

Functions to perform post-processing with the DataLoader. This uses a similar syntax to the attr:connect_measurements in meth:init_measurements. Each tuple can be of length 2 to 3, with entries (module, function, kwargs). The kwargs can contain a results_key under which the results (unless None is returned) are saved. All other kwargs are passed on to the function.

Note

All post-processing functions should follow the syntax: def pp_function(DL, *, kwarg1, kwarg_2=default_2): where DL is an instance of the DataLoader, kwarg_1 is a necessary keyword argument (no default value), while kwarg_2 is an optional keyword argument (with default value)

save_at_checkpoint(alg_engine)[source]

Save the intermediate results at the checkpoint of an algorithm.

Parameters:

alg_engine (Algorithm) – The engine of the algorithm. Not used in this function, mostly there for compatibility with the checkpoint event.

Options

option Simulation.save_every_x_seconds: float | None

By default (None), this feature is disabled. If given, save the results obtained so far at each checkpoint when at least save_every_x_seconds seconds evolved since the last save (or since starting the algorithm). To avoid unnecessary, slow disk input/output, the value will be increased if saving takes longer than 10% of save_every_x_seconds. Use 0. to force saving at each checkpoint.

save_results(results=None)[source]

Save the results to an output file.

Performs a “safe” overwrite of output_filename by first moving the old file to _backup_filename, then writing the new file, and finally removing the backup.

Parameters:

results (dict | None) – The results to be saved. If not specified, call prepare_results_for_save() to allow last-minute adjustments to the saved results.

walltime()[source]

Wall time evolved since initialization of the simulation class.

Utility measurement method. To measure it, add the following entry to the Simulation.connect_measurements option:

- - simulation_method
  - wrap walltime
Returns:

seconds – Elapsed (wall clock) time in seconds since the initialization of the simulation.

Return type:

float