Cargando…
A Physical Measure for Characterizing Crossover from Integrable to Chaotic Quantum Systems
In this paper, a quantity that describes a response of a system’s eigenstates to a very small perturbation of physical relevance is studied as a measure for characterizing crossover from integrable to chaotic quantum systems. It is computed from the distribution of very small, rescaled components of...
Autores principales: | , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9955957/ https://www.ncbi.nlm.nih.gov/pubmed/36832732 http://dx.doi.org/10.3390/e25020366 |
_version_ | 1784894474597433344 |
---|---|
author | Lyu, Chenguang Y. Wang, Wen-Ge |
author_facet | Lyu, Chenguang Y. Wang, Wen-Ge |
author_sort | Lyu, Chenguang Y. |
collection | PubMed |
description | In this paper, a quantity that describes a response of a system’s eigenstates to a very small perturbation of physical relevance is studied as a measure for characterizing crossover from integrable to chaotic quantum systems. It is computed from the distribution of very small, rescaled components of perturbed eigenfunctions on the unperturbed basis. Physically, it gives a relative measure to prohibition of level transitions induced by the perturbation. Making use of this measure, numerical simulations in the so-called Lipkin-Meshkov-Glick model show in a clear way that the whole integrability-chaos transition region is divided into three subregions: a nearly integrable regime, a nearly chaotic regime, and a crossover regime. |
format | Online Article Text |
id | pubmed-9955957 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-99559572023-02-25 A Physical Measure for Characterizing Crossover from Integrable to Chaotic Quantum Systems Lyu, Chenguang Y. Wang, Wen-Ge Entropy (Basel) Article In this paper, a quantity that describes a response of a system’s eigenstates to a very small perturbation of physical relevance is studied as a measure for characterizing crossover from integrable to chaotic quantum systems. It is computed from the distribution of very small, rescaled components of perturbed eigenfunctions on the unperturbed basis. Physically, it gives a relative measure to prohibition of level transitions induced by the perturbation. Making use of this measure, numerical simulations in the so-called Lipkin-Meshkov-Glick model show in a clear way that the whole integrability-chaos transition region is divided into three subregions: a nearly integrable regime, a nearly chaotic regime, and a crossover regime. MDPI 2023-02-17 /pmc/articles/PMC9955957/ /pubmed/36832732 http://dx.doi.org/10.3390/e25020366 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Lyu, Chenguang Y. Wang, Wen-Ge A Physical Measure for Characterizing Crossover from Integrable to Chaotic Quantum Systems |
title | A Physical Measure for Characterizing Crossover from Integrable to Chaotic Quantum Systems |
title_full | A Physical Measure for Characterizing Crossover from Integrable to Chaotic Quantum Systems |
title_fullStr | A Physical Measure for Characterizing Crossover from Integrable to Chaotic Quantum Systems |
title_full_unstemmed | A Physical Measure for Characterizing Crossover from Integrable to Chaotic Quantum Systems |
title_short | A Physical Measure for Characterizing Crossover from Integrable to Chaotic Quantum Systems |
title_sort | physical measure for characterizing crossover from integrable to chaotic quantum systems |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9955957/ https://www.ncbi.nlm.nih.gov/pubmed/36832732 http://dx.doi.org/10.3390/e25020366 |
work_keys_str_mv | AT lyuchenguangy aphysicalmeasureforcharacterizingcrossoverfromintegrabletochaoticquantumsystems AT wangwenge aphysicalmeasureforcharacterizingcrossoverfromintegrabletochaoticquantumsystems AT lyuchenguangy physicalmeasureforcharacterizingcrossoverfromintegrabletochaoticquantumsystems AT wangwenge physicalmeasureforcharacterizingcrossoverfromintegrabletochaoticquantumsystems |