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:	Nicolás Mirkin, Diego A. Wisniacki
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	decoherence Quantum Darwinism many-body localization disorder Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/8c39d1bd670848529f8c2e9010013325
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id	oai:doaj.org-article:8c39d1bd670848529f8c2e9010013325
record_format	dspace
spelling	oai:doaj.org-article:8c39d1bd670848529f8c2e90100133252021-11-25T17:29:07ZMany-Body Localization and the Emergence of Quantum Darwinism10.3390/e231113771099-4300https://doaj.org/article/8c39d1bd670848529f8c2e90100133252021-10-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1377https://doaj.org/toc/1099-4300Quantum 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.Nicolás MirkinDiego A. WisniackiMDPI AGarticledecoherenceQuantum Darwinismmany-body localizationdisorderScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1377, p 1377 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	decoherence Quantum Darwinism many-body localization disorder Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	decoherence Quantum Darwinism many-body localization disorder Science Q Astrophysics QB460-466 Physics QC1-999 Nicolás Mirkin Diego A. Wisniacki Many-Body Localization and the Emergence of Quantum Darwinism
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.
format	article
author	Nicolás Mirkin Diego A. Wisniacki
author_facet	Nicolás Mirkin Diego A. Wisniacki
author_sort	Nicolás Mirkin
title	Many-Body Localization and the Emergence of Quantum Darwinism
title_short	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_sort	many-body localization and the emergence of quantum darwinism
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/8c39d1bd670848529f8c2e9010013325
work_keys_str_mv	AT nicolasmirkin manybodylocalizationandtheemergenceofquantumdarwinism AT diegoawisniacki manybodylocalizationandtheemergenceofquantumdarwinism
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Many-Body Localization and the Emergence of Quantum Darwinism

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