Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking Eigenstates

7 pags., 4 figs.

Detalles Bibliográficos
Autores: Corps, Á.L., Relaño, Armando
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/332333
Acceso en línea:http://hdl.handle.net/10261/332333
http://arxiv.org/abs/2205.03443v2
Access Level:acceso abierto
Palabra clave:Physics - Statistical Mechanics
Quantum Physics
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spelling Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking EigenstatesCorps, Á.L.Relaño, ArmandoPhysics - Statistical MechanicsQuantum Physics7 pags., 4 figs.We present a theory for the two kinds of dynamical quantum phase transitions, termed DPT-I and DPT-II, based on a minimal set of symmetry assumptions. In the special case of collective systems with infinite-range interactions, both are triggered by excited-state quantum phase transitions. For quenches below the critical energy, the existence of an additional conserved charge, identifying the corresponding phase, allows for a nonzero value of the dynamical order parameter characterizing DPTs-I, and precludes the main mechanism giving rise to nonanalyticities in the return probability, trademark of DPTs-II. We propose a statistical ensemble describing the long-time averages of order parameters in DPTs-I, and provide a theoretical proof for the incompatibility of the main mechanism for DPTs-II with the presence of this additional conserved charge. Our results are numerically illustrated in the fully connected transverse-field Ising model, which exhibits both kinds of dynamical phase transitions. Finally, we discuss the applicability of our theory to systems with finite-range interactions, where the phenomenology of excited-state quantum phase transitions is absent. We illustrate our findings by means of numerical calculations with experimentally relevant initial states.This work has been supported by the Spanish Grant No. PGC-2018-094180-B-I00 funded by Ministerio de Ciencia e Innovación/Agencia Estatal de Investigación MCIN/AEI/10.13039/501100011033 and FEDER “A Way of Making Europe.” A. L. C. acknowledges financial support from “la Caixa” Foundation (ID 100010434) through the fellowship LCF/BQ/DR21/11880024.Peer reviewedAmerican Physical SocietyMinisterio de Ciencia e Innovación (España)Fundación la CaixaCorps, Á.L. [0000-0002-0666-6642]Relaño, Armando [0000-0002-1670-1544]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202320232023info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/332333http://arxiv.org/abs/2205.03443v2reponame: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 2017-2020/PGC2018-094180-B-I00Physical review lettershttps://doi.org/10.1103/PhysRevLett.130.100402Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3323332026-05-22T06:33:51Z
dc.title.none.fl_str_mv Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking Eigenstates
title Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking Eigenstates
spellingShingle Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking Eigenstates
Corps, Á.L.
Physics - Statistical Mechanics
Quantum Physics
title_short Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking Eigenstates
title_full Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking Eigenstates
title_fullStr Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking Eigenstates
title_full_unstemmed Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking Eigenstates
title_sort Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking Eigenstates
dc.creator.none.fl_str_mv Corps, Á.L.
Relaño, Armando
author Corps, Á.L.
author_facet Corps, Á.L.
Relaño, Armando
author_role author
author2 Relaño, Armando
author2_role author
dc.contributor.none.fl_str_mv Ministerio de Ciencia e Innovación (España)
Fundación la Caixa
Corps, Á.L. [0000-0002-0666-6642]
Relaño, Armando [0000-0002-1670-1544]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Physics - Statistical Mechanics
Quantum Physics
topic Physics - Statistical Mechanics
Quantum Physics
description 7 pags., 4 figs.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023
2023
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/10261/332333
http://arxiv.org/abs/2205.03443v2
url http://hdl.handle.net/10261/332333
http://arxiv.org/abs/2205.03443v2
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 2017-2020/PGC2018-094180-B-I00
Physical review letters
https://doi.org/10.1103/PhysRevLett.130.100402
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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