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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...

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Autores principales: Kota, Venkata Krishna Brahmam, Chavda, Narendra D.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
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.
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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
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