Spin bath dynamics and dynamical renormalization group

[EN] We discuss the quantum dynamics of the central spin model in a regime where the central spin and bath are slaved to each other. The exact solution is found when the bath is static and is compared with the effect of an external field, finding that they are inequivalent due to the quantum nature...

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Detalles Bibliográficos
Autor: Gómez-León, Álvaro
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/218156
Acceso en línea:http://hdl.handle.net/10261/218156
Access Level:acceso abierto
Palabra clave:Quantum dynamics
Spin model
Dynamical renormalization group (dRG)
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spelling Spin bath dynamics and dynamical renormalization groupGómez-León, ÁlvaroQuantum dynamicsSpin modelDynamical renormalization group (dRG)[EN] We discuss the quantum dynamics of the central spin model in a regime where the central spin and bath are slaved to each other. The exact solution is found when the bath is static and is compared with the effect of an external field, finding that they are inequivalent due to the quantum nature of the environment. When the bath has dynamics, we analyze the differences between the numerical simulation using time-dependent perturbation theory and the equation of motion technique, which shows better accuracy. We demonstrate that the use of dynamical renormalization group (dRG), simultaneously with the equation of motion technique, provides a suitable analytical tool to understand the physics, to capture the main physical processes, and a powerful method to eliminate secular terms. In addition, this approach allows to separate classical nonlinear behavior from corrections due to quantum correlations.This work was supported by the Spanish Ministry of Economy and Competitiveness through Grant MAT2014-58241-P, Grant MAT2017-86717-P, and the Juan de la Cierva program.We also acknowledge support from the CSIC Research Platform on Quantum Technologies PTI-001American Physical SocietyMinisterio de Economía y Competitividad (España)Ministerio de Ciencia, Innovación y Universidades (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]2020202020192020info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/218156reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MAT2014-58241-Pinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/MAT2017-86717-Phttp://dx.doi.org/10.1103/PhysRevB.100.094308Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2181562026-05-22T06:33:51Z
dc.title.none.fl_str_mv Spin bath dynamics and dynamical renormalization group
title Spin bath dynamics and dynamical renormalization group
spellingShingle Spin bath dynamics and dynamical renormalization group
Gómez-León, Álvaro
Quantum dynamics
Spin model
Dynamical renormalization group (dRG)
title_short Spin bath dynamics and dynamical renormalization group
title_full Spin bath dynamics and dynamical renormalization group
title_fullStr Spin bath dynamics and dynamical renormalization group
title_full_unstemmed Spin bath dynamics and dynamical renormalization group
title_sort Spin bath dynamics and dynamical renormalization group
dc.creator.none.fl_str_mv Gómez-León, Álvaro
author Gómez-León, Álvaro
author_facet Gómez-León, Álvaro
author_role author
dc.contributor.none.fl_str_mv Ministerio de Economía y Competitividad (España)
Ministerio de Ciencia, Innovación y Universidades (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Quantum dynamics
Spin model
Dynamical renormalization group (dRG)
topic Quantum dynamics
Spin model
Dynamical renormalization group (dRG)
description [EN] We discuss the quantum dynamics of the central spin model in a regime where the central spin and bath are slaved to each other. The exact solution is found when the bath is static and is compared with the effect of an external field, finding that they are inequivalent due to the quantum nature of the environment. When the bath has dynamics, we analyze the differences between the numerical simulation using time-dependent perturbation theory and the equation of motion technique, which shows better accuracy. We demonstrate that the use of dynamical renormalization group (dRG), simultaneously with the equation of motion technique, provides a suitable analytical tool to understand the physics, to capture the main physical processes, and a powerful method to eliminate secular terms. In addition, this approach allows to separate classical nonlinear behavior from corrections due to quantum correlations.
publishDate 2019
dc.date.none.fl_str_mv 2019
2020
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/218156
url http://hdl.handle.net/10261/218156
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MAT2014-58241-P
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/MAT2017-86717-P
http://dx.doi.org/10.1103/PhysRevB.100.094308
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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