Cargando…

Quantum Chaos, Random Matrices, and Irreversibility in Interacting Many-Body Quantum Systems

The Pauli master equation describes the statistical equilibration of a closed quantum system. Simplifying and generalizing an approach developed in two previous papers, we present a derivation of that equation using concepts developed in quantum chaos and random-matrix theory. We assume that the sys...

Descripción completa

Detalles Bibliográficos
Autor principal: Weidenmüller, Hans A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9321331/
https://www.ncbi.nlm.nih.gov/pubmed/35885182
http://dx.doi.org/10.3390/e24070959
_version_ 1784756018982420480
author Weidenmüller, Hans A.
author_facet Weidenmüller, Hans A.
author_sort Weidenmüller, Hans A.
collection PubMed
description The Pauli master equation describes the statistical equilibration of a closed quantum system. Simplifying and generalizing an approach developed in two previous papers, we present a derivation of that equation using concepts developed in quantum chaos and random-matrix theory. We assume that the system consists of subsystems with strong internal mixing. We can then model the system as an ensemble of random matrices. Equilibration results from averaging over the ensemble. The direction of the arrow of time is determined by an (ever-so-small) coupling to the outside world. The master equation holds for sufficiently large times if the average level densities in all subsystems are sufficiently smooth. These conditions are quantified in the text, and leading-order correction terms are given.
format Online
Article
Text
id pubmed-9321331
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher MDPI
record_format MEDLINE/PubMed
spelling pubmed-93213312022-07-27 Quantum Chaos, Random Matrices, and Irreversibility in Interacting Many-Body Quantum Systems Weidenmüller, Hans A. Entropy (Basel) Article The Pauli master equation describes the statistical equilibration of a closed quantum system. Simplifying and generalizing an approach developed in two previous papers, we present a derivation of that equation using concepts developed in quantum chaos and random-matrix theory. We assume that the system consists of subsystems with strong internal mixing. We can then model the system as an ensemble of random matrices. Equilibration results from averaging over the ensemble. The direction of the arrow of time is determined by an (ever-so-small) coupling to the outside world. The master equation holds for sufficiently large times if the average level densities in all subsystems are sufficiently smooth. These conditions are quantified in the text, and leading-order correction terms are given. MDPI 2022-07-11 /pmc/articles/PMC9321331/ /pubmed/35885182 http://dx.doi.org/10.3390/e24070959 Text en © 2022 by the author. 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
Weidenmüller, Hans A.
Quantum Chaos, Random Matrices, and Irreversibility in Interacting Many-Body Quantum Systems
title Quantum Chaos, Random Matrices, and Irreversibility in Interacting Many-Body Quantum Systems
title_full Quantum Chaos, Random Matrices, and Irreversibility in Interacting Many-Body Quantum Systems
title_fullStr Quantum Chaos, Random Matrices, and Irreversibility in Interacting Many-Body Quantum Systems
title_full_unstemmed Quantum Chaos, Random Matrices, and Irreversibility in Interacting Many-Body Quantum Systems
title_short Quantum Chaos, Random Matrices, and Irreversibility in Interacting Many-Body Quantum Systems
title_sort quantum chaos, random matrices, and irreversibility in interacting many-body quantum systems
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9321331/
https://www.ncbi.nlm.nih.gov/pubmed/35885182
http://dx.doi.org/10.3390/e24070959
work_keys_str_mv AT weidenmullerhansa quantumchaosrandommatricesandirreversibilityininteractingmanybodyquantumsystems