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Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems
Embedded ensembles or random matrix ensembles generated by k-body interactions acting in many-particle spaces are now well established to be paradigmatic models for many-body chaos and thermalization in isolated finite quantum (fermion or boson) systems. In this article, briefly discussed are (i) va...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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MDPI
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513065/ https://www.ncbi.nlm.nih.gov/pubmed/33265630 http://dx.doi.org/10.3390/e20070541 |
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author | Kota, Venkata Krishna Brahmam Chavda, Narendra D. |
author_facet | Kota, Venkata Krishna Brahmam Chavda, Narendra D. |
author_sort | Kota, Venkata Krishna Brahmam |
collection | PubMed |
description | Embedded ensembles or random matrix ensembles generated by k-body interactions acting in many-particle spaces are now well established to be paradigmatic models for many-body chaos and thermalization in isolated finite quantum (fermion or boson) systems. In this article, briefly discussed are (i) various embedded ensembles with Lie algebraic symmetries for fermion and boson systems and their extensions (for Majorana fermions, with point group symmetries etc.); (ii) results generated by these ensembles for various aspects of chaos, thermalization and statistical relaxation, including the role of q-hermite polynomials in k-body ensembles; and (iii) analyses of numerical and experimental data for level fluctuations for trapped boson systems and results for statistical relaxation and decoherence in these systems with close relations to results from embedded ensembles. |
format | Online Article Text |
id | pubmed-7513065 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75130652020-11-09 Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems Kota, Venkata Krishna Brahmam Chavda, Narendra D. Entropy (Basel) Review Embedded ensembles or random matrix ensembles generated by k-body interactions acting in many-particle spaces are now well established to be paradigmatic models for many-body chaos and thermalization in isolated finite quantum (fermion or boson) systems. In this article, briefly discussed are (i) various embedded ensembles with Lie algebraic symmetries for fermion and boson systems and their extensions (for Majorana fermions, with point group symmetries etc.); (ii) results generated by these ensembles for various aspects of chaos, thermalization and statistical relaxation, including the role of q-hermite polynomials in k-body ensembles; and (iii) analyses of numerical and experimental data for level fluctuations for trapped boson systems and results for statistical relaxation and decoherence in these systems with close relations to results from embedded ensembles. MDPI 2018-07-20 /pmc/articles/PMC7513065/ /pubmed/33265630 http://dx.doi.org/10.3390/e20070541 Text en © 2018 by the authors. 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 (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Review Kota, Venkata Krishna Brahmam Chavda, Narendra D. Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems |
title | Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems |
title_full | Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems |
title_fullStr | Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems |
title_full_unstemmed | Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems |
title_short | Random k-Body Ensembles for Chaos and Thermalization in Isolated Systems |
title_sort | random k-body ensembles for chaos and thermalization in isolated systems |
topic | Review |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7513065/ https://www.ncbi.nlm.nih.gov/pubmed/33265630 http://dx.doi.org/10.3390/e20070541 |
work_keys_str_mv | AT kotavenkatakrishnabrahmam randomkbodyensemblesforchaosandthermalizationinisolatedsystems AT chavdanarendrad randomkbodyensemblesforchaosandthermalizationinisolatedsystems |