Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics

Starting from the paradigmatic spin-boson model (SBM), we investigate the static and dynamical properties of a system of two distant two-level emitters coupled to a one-dimensional Ohmic waveguide beyond the rotating wave approximation. Employing static and dynamical polaron Ansätze we study the eff...

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Autores: González-Gutiérrez, Carlos A., Román-Roche, Juan, Zueco, David
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/265665
Acesso em linha:http://hdl.handle.net/10261/265665
https://doi.org/10.1103/PhysRevA.104.053701
Access Level:acceso abierto
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spelling Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamicsGonzález-Gutiérrez, Carlos A.Román-Roche, JuanZueco, DavidStarting from the paradigmatic spin-boson model (SBM), we investigate the static and dynamical properties of a system of two distant two-level emitters coupled to a one-dimensional Ohmic waveguide beyond the rotating wave approximation. Employing static and dynamical polaron Ansätze we study the effects of finite separation distance on the behavior of the photon-mediated Ising-like interaction, qubit frequency renormalization, ground-state magnetization, and entanglement entropy of the two-qubit system. Based on previous works we derive an effective approximate Hamiltonian for the two-impurity SBM that preserves the excitation-number and thus facilitates the analytical treatment. In particular, it allows us to introduce non-Markovianity arising from delay-feedback effects in two distant emitters in the so-called ultrastrong coupling (USC) regime. We test our results with numerical simulations performed over a discretized circuit-QED model, finding perfect agreement with previous results, and showing interesting dynamical effects arising in ultrastrong waveguide QED with distant emitters. In particular, we revisit the Fermi two-atom problem showing that, in the USC regime, initial correlations yield two different evolutions for symmetric and antisymmetric states even before the emitters become causally connected. Finally, we demonstrate that the collective dynamics, e.g., superradiance or subradiance, are affected not only by the distance between emitters, but also by the coupling, due to significant frequency renormalization. This constitutes another dynamical consequence of the USC regime.The authors acknowledge funding from the EU (COST Action 15128 MOLSPIN, QUANTERA SUMO, and FETOPEN Grant No. 862893 FATMOLS), the Spanish MICINN (MAT2017-88358-C3-1-R), and the Gobierno de Aragón (Grant No. E09-17R Q-MAD).Peer reviewedAmerican Physical SocietyEuropean CommissionAgencia Estatal de Investigación (España)Ministerio de Ciencia, Innovación y Universidades (España)Gobierno de AragónConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202220222021info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/265665https://doi.org/10.1103/PhysRevA.104.053701reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MAT2017-88358-C3-1-Rhttps://doi.org/10.1103/PhysRevA.104.053701Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2656652026-05-22T06:33:51Z
dc.title.none.fl_str_mv Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics
title Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics
spellingShingle Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics
González-Gutiérrez, Carlos A.
title_short Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics
title_full Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics
title_fullStr Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics
title_full_unstemmed Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics
title_sort Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics
dc.creator.none.fl_str_mv González-Gutiérrez, Carlos A.
Román-Roche, Juan
Zueco, David
author González-Gutiérrez, Carlos A.
author_facet González-Gutiérrez, Carlos A.
Román-Roche, Juan
Zueco, David
author_role author
author2 Román-Roche, Juan
Zueco, David
author2_role author
author
dc.contributor.none.fl_str_mv European Commission
Agencia Estatal de Investigación (España)
Ministerio de Ciencia, Innovación y Universidades (España)
Gobierno de Aragón
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
description Starting from the paradigmatic spin-boson model (SBM), we investigate the static and dynamical properties of a system of two distant two-level emitters coupled to a one-dimensional Ohmic waveguide beyond the rotating wave approximation. Employing static and dynamical polaron Ansätze we study the effects of finite separation distance on the behavior of the photon-mediated Ising-like interaction, qubit frequency renormalization, ground-state magnetization, and entanglement entropy of the two-qubit system. Based on previous works we derive an effective approximate Hamiltonian for the two-impurity SBM that preserves the excitation-number and thus facilitates the analytical treatment. In particular, it allows us to introduce non-Markovianity arising from delay-feedback effects in two distant emitters in the so-called ultrastrong coupling (USC) regime. We test our results with numerical simulations performed over a discretized circuit-QED model, finding perfect agreement with previous results, and showing interesting dynamical effects arising in ultrastrong waveguide QED with distant emitters. In particular, we revisit the Fermi two-atom problem showing that, in the USC regime, initial correlations yield two different evolutions for symmetric and antisymmetric states even before the emitters become causally connected. Finally, we demonstrate that the collective dynamics, e.g., superradiance or subradiance, are affected not only by the distance between emitters, but also by the coupling, due to significant frequency renormalization. This constitutes another dynamical consequence of the USC regime.
publishDate 2021
dc.date.none.fl_str_mv 2021
2022
2022
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/10261/265665
https://doi.org/10.1103/PhysRevA.104.053701
url http://hdl.handle.net/10261/265665
https://doi.org/10.1103/PhysRevA.104.053701
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MAT2017-88358-C3-1-R
https://doi.org/10.1103/PhysRevA.104.053701
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
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repository.mail.fl_str_mv
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