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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...

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Autores principales: Lyu, Chenguang Y., Wang, Wen-Ge
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
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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.
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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
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