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Many-Body Localization and the Emergence of Quantum Darwinism

Quantum Darwinism (QD) is the process responsible for the proliferation of redundant information in the environment of a quantum system that is being decohered. This enables independent observers to access separate environmental fragments and reach consensus about the system’s state. In this work, w...

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Autores principales: Mirkin, Nicolás, Wisniacki, Diego A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8621454/
https://www.ncbi.nlm.nih.gov/pubmed/34828075
http://dx.doi.org/10.3390/e23111377
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author Mirkin, Nicolás
Wisniacki, Diego A.
author_facet Mirkin, Nicolás
Wisniacki, Diego A.
author_sort Mirkin, Nicolás
collection PubMed
description Quantum Darwinism (QD) is the process responsible for the proliferation of redundant information in the environment of a quantum system that is being decohered. This enables independent observers to access separate environmental fragments and reach consensus about the system’s state. In this work, we study the effect of disorder in the emergence of QD and find that a highly disordered environment is greatly beneficial for it. By introducing the notion of lack of redundancy to quantify objectivity, we show that it behaves analogously to the entanglement entropy (EE) of the environmental eigenstate taken as an initial state. This allows us to estimate the many-body mobility edge by means of our Darwinistic measure, implicating the existence of a critical degree of disorder beyond which the degree of objectivity rises the larger the environment is. The latter hints the key role that disorder may play when the environment is of a thermodynamic size. At last, we show that a highly disordered evolution may reduce the spoiling of redundancy in the presence of intra-environment interactions.
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spelling pubmed-86214542021-11-27 Many-Body Localization and the Emergence of Quantum Darwinism Mirkin, Nicolás Wisniacki, Diego A. Entropy (Basel) Article Quantum Darwinism (QD) is the process responsible for the proliferation of redundant information in the environment of a quantum system that is being decohered. This enables independent observers to access separate environmental fragments and reach consensus about the system’s state. In this work, we study the effect of disorder in the emergence of QD and find that a highly disordered environment is greatly beneficial for it. By introducing the notion of lack of redundancy to quantify objectivity, we show that it behaves analogously to the entanglement entropy (EE) of the environmental eigenstate taken as an initial state. This allows us to estimate the many-body mobility edge by means of our Darwinistic measure, implicating the existence of a critical degree of disorder beyond which the degree of objectivity rises the larger the environment is. The latter hints the key role that disorder may play when the environment is of a thermodynamic size. At last, we show that a highly disordered evolution may reduce the spoiling of redundancy in the presence of intra-environment interactions. MDPI 2021-10-20 /pmc/articles/PMC8621454/ /pubmed/34828075 http://dx.doi.org/10.3390/e23111377 Text en © 2021 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
Mirkin, Nicolás
Wisniacki, Diego A.
Many-Body Localization and the Emergence of Quantum Darwinism
title Many-Body Localization and the Emergence of Quantum Darwinism
title_full Many-Body Localization and the Emergence of Quantum Darwinism
title_fullStr Many-Body Localization and the Emergence of Quantum Darwinism
title_full_unstemmed Many-Body Localization and the Emergence of Quantum Darwinism
title_short Many-Body Localization and the Emergence of Quantum Darwinism
title_sort many-body localization and the emergence of quantum darwinism
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8621454/
https://www.ncbi.nlm.nih.gov/pubmed/34828075
http://dx.doi.org/10.3390/e23111377
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