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

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 quenc...

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Detalhes bibliográficos
Autores: Corps, Angel L., Relaño Pérez, Armando
Formato: artículo
Fecha de publicación:2023
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/72351
Acesso em linha:https://hdl.handle.net/20.500.14352/72351
Access Level:acceso abierto
Palavra-chave:536
Model
Termodinámica
2213 Termodinámica
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spelling Theory of Dynamical Phase Transitions in Quantum Systems with Symmetry-Breaking EigenstatesCorps, Angel L.Relaño Pérez, Armando536ModelTermodinámica2213 TermodinámicaWe 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 experi-mentally relevant initial states.American Physical SocietyUniversidad Complutense de Madrid20232023-03-0920232023-03-09journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/72351reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/723512026-06-02T12:44:21Z
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, Angel L.
536
Model
Termodinámica
2213 Termodinámica
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, Angel L.
Relaño Pérez, Armando
author Corps, Angel L.
author_facet Corps, Angel L.
Relaño Pérez, Armando
author_role author
author2 Relaño Pérez, Armando
author2_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 536
Model
Termodinámica
2213 Termodinámica
topic 536
Model
Termodinámica
2213 Termodinámica
description 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 experi-mentally relevant initial states.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023-03-09
2023
2023-03-09
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/72351
url https://hdl.handle.net/20.500.14352/72351
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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