Dynamical Phase Transitions in Open Quantum Walks

Focus Issue on Quantum Matter.

Detalles Bibliográficos
Autor: Longhi, Stefano
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/423076
Acceso en línea:http://hdl.handle.net/10261/423076
http://arxiv.org/abs/2508.11947v1
Access Level:acceso abierto
Palabra clave:Dynamical phase transitions
Open quantum systems
Photonic random walks
Stochastic quantum walks
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spelling Dynamical Phase Transitions in Open Quantum WalksLonghi, StefanoDynamical phase transitionsOpen quantum systemsPhotonic random walksStochastic quantum walksFocus Issue on Quantum Matter.Dynamical phase transitions in the relaxation behavior of stochastic quantum walks are investigated, focusing on systems where coherent unitary evolution is periodically interrupted by dephasing. This interplay leads to a classicalization of the dynamics, effectively described by non-equilibrium Markovian processes that can violate detailed balance. As a result, such systems exhibit a richer and more complex spectral structure than their equilibrium counterparts. Extending recent insights from classical Markov dynamics [G. Teza {\it et al.}, Phys. Rev. Lett. {\bf 130}, 207103 (2023)], we demonstrate that these quantum-classical hybrid systems can host not only first-order dynamical phase transitions -- characterized by eigenvalue crossings -- but also second-order transitions marked by the coalescence of eigenvalues and eigenvectors at exceptional points. We analyze two paradigmatic models: a quantum walk on a ring under gauge fields and a walk on a finite line with internal degrees of freedom, both exhibiting distinct mechanisms for breaking detailed balance. These findings reveal a novel class of critical behavior in open quantum systems, where decoherence-induced classicalization enables access to non-Hermitian spectral phenomena. Beyond their fundamental interest, our results offer promising implications for quantum technologies, including quantum simulation, error mitigation, and the engineering of controllable non-equilibrium quantum states.The author acknowledges the Spanish State Research Agency, through the Severo Ochoa and Maria de Maeztu Program for Centers and Units of Excellence in R&D (Grant No. MDM-2017- 0711).Peer reviewedJohn Wiley & SonsAgencia Estatal de Investigación (España)Ministerio de Ciencia e Innovación (España)Longhi, Stefano [0000-0002-8739-3542]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202620262025info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10261/423076http://arxiv.org/abs/2508.11947v1reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/MINECO//MDM-2017-0711https://doi.org/10.1002/qute.202500539Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/4230762026-05-22T06:33:51Z
dc.title.none.fl_str_mv Dynamical Phase Transitions in Open Quantum Walks
title Dynamical Phase Transitions in Open Quantum Walks
spellingShingle Dynamical Phase Transitions in Open Quantum Walks
Longhi, Stefano
Dynamical phase transitions
Open quantum systems
Photonic random walks
Stochastic quantum walks
title_short Dynamical Phase Transitions in Open Quantum Walks
title_full Dynamical Phase Transitions in Open Quantum Walks
title_fullStr Dynamical Phase Transitions in Open Quantum Walks
title_full_unstemmed Dynamical Phase Transitions in Open Quantum Walks
title_sort Dynamical Phase Transitions in Open Quantum Walks
dc.creator.none.fl_str_mv Longhi, Stefano
author Longhi, Stefano
author_facet Longhi, Stefano
author_role author
dc.contributor.none.fl_str_mv Agencia Estatal de Investigación (España)
Ministerio de Ciencia e Innovación (España)
Longhi, Stefano [0000-0002-8739-3542]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Dynamical phase transitions
Open quantum systems
Photonic random walks
Stochastic quantum walks
topic Dynamical phase transitions
Open quantum systems
Photonic random walks
Stochastic quantum walks
description Focus Issue on Quantum Matter.
publishDate 2025
dc.date.none.fl_str_mv 2025
2026
2026
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/10261/423076
http://arxiv.org/abs/2508.11947v1
url http://hdl.handle.net/10261/423076
http://arxiv.org/abs/2508.11947v1
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/MINECO//MDM-2017-0711
https://doi.org/10.1002/qute.202500539
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv John Wiley & Sons
publisher.none.fl_str_mv John Wiley & Sons
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)
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repository.name.fl_str_mv
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