Data repository for paper: "Variational approach to open quantum systems with long-range competing interactions"

<p dir="ltr">Simulation data for paper: "Variational approach to open quantum systems with long-range competing interactions". Full article accessible under <a href="https://arxiv.org/abs/2510.01543" rel="noreferrer" target="_blank">https...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Dawid Hryniuk (11488600) (author)
مؤلفون آخرون: Marzena Szymanska (6761465) (author)
منشور في: 2025
الموضوعات:
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_version_ 1849927644869558272
author Dawid Hryniuk (11488600)
author2 Marzena Szymanska (6761465)
author2_role author
author_facet Dawid Hryniuk (11488600)
Marzena Szymanska (6761465)
author_role author
dc.creator.none.fl_str_mv Dawid Hryniuk (11488600)
Marzena Szymanska (6761465)
dc.date.none.fl_str_mv 2025-11-24T12:28:57Z
dc.identifier.none.fl_str_mv 10.5522/04/30676463.v1
dc.relation.none.fl_str_mv https://figshare.com/articles/dataset/Data_repository_for_paper_Variational_approach_to_open_quantum_systems_with_long-range_competing_interactions_/30676463
dc.rights.none.fl_str_mv CC BY-NC-SA 4.0
info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Transport properties and non-equilibrium processes
Atomic, molecular and optical physics not elsewhere classified
Condensed matter physics not elsewhere classified
Quantum physics not elsewhere classified
Open Quantum Systems
Monte Carlo (MC) algorithm
Variational Monte Carlo
Quantum Monte Carlo Method
master equation methods
non-equilibrium systems
tensor network simulation
Long Range Interactions
dipolar anisotropic interaction
Computational Physics
dc.title.none.fl_str_mv Data repository for paper: "Variational approach to open quantum systems with long-range competing interactions"
dc.type.none.fl_str_mv Dataset
info:eu-repo/semantics/publishedVersion
dataset
description <p dir="ltr">Simulation data for paper: "Variational approach to open quantum systems with long-range competing interactions". Full article accessible under <a href="https://arxiv.org/abs/2510.01543" rel="noreferrer" target="_blank">https://arxiv.org/abs/2510.01543<br></a></p><h4><b>Overview: </b>This datasets contains simulation data presented in figures 1-6 in the Main Text and figures 2-61 in the Supplementary Material. This data was obtained from t-VMC+MPO (the method introduced in the above article) and t-MPS simulations. t-VMC+MPO is a method for efficient and scalable simulation of the dynamics of open quantum lattices. It relies on solving the variational equations of motion efficiently by means of time-dependent variational Monte Carlo (t-VMC), while employing compact matrix product operator (MPO) trial states for the many-body density matrix. Among its other advantages, this method is suitable for simulating large driven-dissipative lattices with multiple long-ranged interactions.</h4><p dir="ltr"><b>Implementation: </b>A Julia implementation of t-VMC+MPO (termed t-VMPOMC), which was used to generate this dataset, is available at the public GitHub repository <a href="https://github.com/dhryniuk/t-VMPOMC" rel="noreferrer" target="_blank">https://github.com/dhryniuk/t-VMPOMC</a>. This repository contains example simulation scripts aimed to make the method accessible for first-time users. </p><p dir="ltr"><b>Directory and file organisation:</b> For the Main text, the data is divided first by figure/subplot index, and second by simulation type (please refer to the relevant figure in the article). For the Supplementary Material, the data is divided first by the optimisation hyperparameter label, for which convergence was analysed, and second by model. The folder names specify the model via initialism: I - Ising, C - competing, XYZ - the XYZ model, e.g. the folder name "CI_N200_strong" will contain simulation data for an spin chain of N=200 sites with strong long-ranged competing Ising interactions. Relevant parameter and hyperparameter values distinguishing individual simulations are included in the folder titles. Remaining parameter values not specified can be found in tables 1 and 2 in Supplementary Note 3 on pages 57-59. </p><p dir="ltr">Explanation on t-VMPOMC simulations data file names and structure: "obs.out" - m_x, m_y, m_z, S_2 expectation values per iteration; "corrD.out" - D_local C_xx, C_yy, C_zz correlation functions per iteration; "times.out" - recorded simulation time t per iteration, "iter_times.out" - wall time per iteration; "C.out" - cost function value per iteration; "lambda.out" - smallest eigenvalue of reduced density matrix per iteration; "Schmidt_values.out" - Schmidt singular values per iteration.<a href="https://arxiv.org/abs/2510.01543" rel="noreferrer" target="_blank"><br></a></p>
eu_rights_str_mv openAccess
id Manara_698a1a4a220c6686e75f1eb167ec1f64
identifier_str_mv 10.5522/04/30676463.v1
network_acronym_str Manara
network_name_str ManaraRepo
oai_identifier_str oai:figshare.com:article/30676463
publishDate 2025
repository.mail.fl_str_mv
repository.name.fl_str_mv
repository_id_str
rights_invalid_str_mv CC BY-NC-SA 4.0
spelling Data repository for paper: "Variational approach to open quantum systems with long-range competing interactions"Dawid Hryniuk (11488600)Marzena Szymanska (6761465)Transport properties and non-equilibrium processesAtomic, molecular and optical physics not elsewhere classifiedCondensed matter physics not elsewhere classifiedQuantum physics not elsewhere classifiedOpen Quantum SystemsMonte Carlo (MC) algorithmVariational Monte CarloQuantum Monte Carlo Methodmaster equation methodsnon-equilibrium systemstensor network simulationLong Range Interactionsdipolar anisotropic interactionComputational Physics<p dir="ltr">Simulation data for paper: "Variational approach to open quantum systems with long-range competing interactions". Full article accessible under <a href="https://arxiv.org/abs/2510.01543" rel="noreferrer" target="_blank">https://arxiv.org/abs/2510.01543<br></a></p><h4><b>Overview: </b>This datasets contains simulation data presented in figures 1-6 in the Main Text and figures 2-61 in the Supplementary Material. This data was obtained from t-VMC+MPO (the method introduced in the above article) and t-MPS simulations. t-VMC+MPO is a method for efficient and scalable simulation of the dynamics of open quantum lattices. It relies on solving the variational equations of motion efficiently by means of time-dependent variational Monte Carlo (t-VMC), while employing compact matrix product operator (MPO) trial states for the many-body density matrix. Among its other advantages, this method is suitable for simulating large driven-dissipative lattices with multiple long-ranged interactions.</h4><p dir="ltr"><b>Implementation: </b>A Julia implementation of t-VMC+MPO (termed t-VMPOMC), which was used to generate this dataset, is available at the public GitHub repository <a href="https://github.com/dhryniuk/t-VMPOMC" rel="noreferrer" target="_blank">https://github.com/dhryniuk/t-VMPOMC</a>. This repository contains example simulation scripts aimed to make the method accessible for first-time users. </p><p dir="ltr"><b>Directory and file organisation:</b> For the Main text, the data is divided first by figure/subplot index, and second by simulation type (please refer to the relevant figure in the article). For the Supplementary Material, the data is divided first by the optimisation hyperparameter label, for which convergence was analysed, and second by model. The folder names specify the model via initialism: I - Ising, C - competing, XYZ - the XYZ model, e.g. the folder name "CI_N200_strong" will contain simulation data for an spin chain of N=200 sites with strong long-ranged competing Ising interactions. Relevant parameter and hyperparameter values distinguishing individual simulations are included in the folder titles. Remaining parameter values not specified can be found in tables 1 and 2 in Supplementary Note 3 on pages 57-59. </p><p dir="ltr">Explanation on t-VMPOMC simulations data file names and structure: "obs.out" - m_x, m_y, m_z, S_2 expectation values per iteration; "corrD.out" - D_local C_xx, C_yy, C_zz correlation functions per iteration; "times.out" - recorded simulation time t per iteration, "iter_times.out" - wall time per iteration; "C.out" - cost function value per iteration; "lambda.out" - smallest eigenvalue of reduced density matrix per iteration; "Schmidt_values.out" - Schmidt singular values per iteration.<a href="https://arxiv.org/abs/2510.01543" rel="noreferrer" target="_blank"><br></a></p>2025-11-24T12:28:57ZDatasetinfo:eu-repo/semantics/publishedVersiondataset10.5522/04/30676463.v1https://figshare.com/articles/dataset/Data_repository_for_paper_Variational_approach_to_open_quantum_systems_with_long-range_competing_interactions_/30676463CC BY-NC-SA 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/306764632025-11-24T12:28:57Z
spellingShingle Data repository for paper: "Variational approach to open quantum systems with long-range competing interactions"
Dawid Hryniuk (11488600)
Transport properties and non-equilibrium processes
Atomic, molecular and optical physics not elsewhere classified
Condensed matter physics not elsewhere classified
Quantum physics not elsewhere classified
Open Quantum Systems
Monte Carlo (MC) algorithm
Variational Monte Carlo
Quantum Monte Carlo Method
master equation methods
non-equilibrium systems
tensor network simulation
Long Range Interactions
dipolar anisotropic interaction
Computational Physics
status_str publishedVersion
title Data repository for paper: "Variational approach to open quantum systems with long-range competing interactions"
title_full Data repository for paper: "Variational approach to open quantum systems with long-range competing interactions"
title_fullStr Data repository for paper: "Variational approach to open quantum systems with long-range competing interactions"
title_full_unstemmed Data repository for paper: "Variational approach to open quantum systems with long-range competing interactions"
title_short Data repository for paper: "Variational approach to open quantum systems with long-range competing interactions"
title_sort Data repository for paper: "Variational approach to open quantum systems with long-range competing interactions"
topic Transport properties and non-equilibrium processes
Atomic, molecular and optical physics not elsewhere classified
Condensed matter physics not elsewhere classified
Quantum physics not elsewhere classified
Open Quantum Systems
Monte Carlo (MC) algorithm
Variational Monte Carlo
Quantum Monte Carlo Method
master equation methods
non-equilibrium systems
tensor network simulation
Long Range Interactions
dipolar anisotropic interaction
Computational Physics