Robustness of many-body localization in the presence of dissipation

Many-body localization (MBL) has emerged as a novel paradigm for robust ergodicity breaking in closed quantum many-body systems. However, it is not yet clear to which extent MBL survives in the presence of dissipative processes induced by the coupling to an environment. Here we study heating and erg...

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Main Authors: Levi, Emanuele, Heyl, Markus, Lesanovsky, Igor, Garrahan, Juan P.
Format: Article
Published: American Physical Society 2016
Online Access:https://eprints.nottingham.ac.uk/34243/
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author Levi, Emanuele
Heyl, Markus
Lesanovsky, Igor
Garrahan, Juan P.
author_facet Levi, Emanuele
Heyl, Markus
Lesanovsky, Igor
Garrahan, Juan P.
author_sort Levi, Emanuele
building Nottingham Research Data Repository
collection Online Access
description Many-body localization (MBL) has emerged as a novel paradigm for robust ergodicity breaking in closed quantum many-body systems. However, it is not yet clear to which extent MBL survives in the presence of dissipative processes induced by the coupling to an environment. Here we study heating and ergodicity for a paradigmatic MBL system---an interacting fermionic chain subject to quenched disorder---in the presence of dephasing. We find that, even though the system is eventually driven into an infinite-temperature state, heating as monitored by the von Neumann entropy can progress logarithmically slowly, implying exponentially large time scales for relaxation. This slow loss of memory of initial conditions make signatures of non-ergodicity visible over a long, but transient, time regime. We point out a potential controlled realization of the considered setup with cold atomic gases held in optical lattices.
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spelling nottingham-342432020-05-04T17:57:14Z https://eprints.nottingham.ac.uk/34243/ Robustness of many-body localization in the presence of dissipation Levi, Emanuele Heyl, Markus Lesanovsky, Igor Garrahan, Juan P. Many-body localization (MBL) has emerged as a novel paradigm for robust ergodicity breaking in closed quantum many-body systems. However, it is not yet clear to which extent MBL survives in the presence of dissipative processes induced by the coupling to an environment. Here we study heating and ergodicity for a paradigmatic MBL system---an interacting fermionic chain subject to quenched disorder---in the presence of dephasing. We find that, even though the system is eventually driven into an infinite-temperature state, heating as monitored by the von Neumann entropy can progress logarithmically slowly, implying exponentially large time scales for relaxation. This slow loss of memory of initial conditions make signatures of non-ergodicity visible over a long, but transient, time regime. We point out a potential controlled realization of the considered setup with cold atomic gases held in optical lattices. American Physical Society 2016-06-09 Article PeerReviewed Levi, Emanuele, Heyl, Markus, Lesanovsky, Igor and Garrahan, Juan P. (2016) Robustness of many-body localization in the presence of dissipation. Physical Review Letters, 116 . 237203/1-237203/5. ISSN 1079-7114 http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.237203# doi:10.1103/PhysRevLett.116.237203 doi:10.1103/PhysRevLett.116.237203
spellingShingle Levi, Emanuele
Heyl, Markus
Lesanovsky, Igor
Garrahan, Juan P.
Robustness of many-body localization in the presence of dissipation
title Robustness of many-body localization in the presence of dissipation
title_full Robustness of many-body localization in the presence of dissipation
title_fullStr Robustness of many-body localization in the presence of dissipation
title_full_unstemmed Robustness of many-body localization in the presence of dissipation
title_short Robustness of many-body localization in the presence of dissipation
title_sort robustness of many-body localization in the presence of dissipation
url https://eprints.nottingham.ac.uk/34243/
https://eprints.nottingham.ac.uk/34243/
https://eprints.nottingham.ac.uk/34243/