Geometric phases along quantum trajectories

Autores
Viotti, Ludmila; Gramajo, Ana Laura; Villar, Paula Ines; Lombardo, Fernando Cesar; Fazio, Rosario
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A monitored quantum system undergoing a cyclic evolution of the parameters governing its Hamiltonian accumulates a geometric phase that depends on the quantum trajectory followed by the system on its evolution. The phase value will be determined both by the unitary dynamics and by the interaction of the system with the environment. Consequently, the geometric phase will acquire a stochastic character due to the occurrence of random quantum jumps. Here we study the distribution function of geometric phases in monitored quantum systems and discuss when/if different quantities, proposed to measure geometric phases in open quantum systems, are representative of the distribution. We also consider a monitored echo protocol and discuss in which cases the distribution of the interference pattern extracted in the experiment is linked to the geometric phase. Furthermore, we unveil, for the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle and show how this critical behavior can be observed in an echo protocol. For the same parameters, the density matrix does not show any singularity. We illustrate all our main results by considering a paradigmatic case, a spin-1/2 immersed in time-varying a magnetic field in the presence of an external environment. The major outcomes of our analysis are however quite general and do not depend, in their qualitative features, on the choice of the model studied.
Fil: Viotti, Ludmila. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. The Abdus Salam. International Centre for Theoretical Physics; Italia. The Abdus Salam International Center for Theoretical Physics; Italia
Fil: Gramajo, Ana Laura. The Abdus Salam. International Centre for Theoretical Physics; Italia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Villar, Paula Ines. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Lombardo, Fernando Cesar. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Fazio, Rosario. The Abdus Salam. International Centre for Theoretical Physics; Italia. Università degli Studi di Napoli Federico II; Italia
Materia
Geometric phases
Quantum trajectories
Quantum information
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/228422
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Geometric phases along quantum trajectoriesViotti, LudmilaGramajo, Ana LauraVillar, Paula InesLombardo, Fernando CesarFazio, RosarioGeometric phasesQuantum trajectoriesQuantum informationhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A monitored quantum system undergoing a cyclic evolution of the parameters governing its Hamiltonian accumulates a geometric phase that depends on the quantum trajectory followed by the system on its evolution. The phase value will be determined both by the unitary dynamics and by the interaction of the system with the environment. Consequently, the geometric phase will acquire a stochastic character due to the occurrence of random quantum jumps. Here we study the distribution function of geometric phases in monitored quantum systems and discuss when/if different quantities, proposed to measure geometric phases in open quantum systems, are representative of the distribution. We also consider a monitored echo protocol and discuss in which cases the distribution of the interference pattern extracted in the experiment is linked to the geometric phase. Furthermore, we unveil, for the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle and show how this critical behavior can be observed in an echo protocol. For the same parameters, the density matrix does not show any singularity. We illustrate all our main results by considering a paradigmatic case, a spin-1/2 immersed in time-varying a magnetic field in the presence of an external environment. The major outcomes of our analysis are however quite general and do not depend, in their qualitative features, on the choice of the model studied.Fil: Viotti, Ludmila. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. The Abdus Salam. International Centre for Theoretical Physics; Italia. The Abdus Salam International Center for Theoretical Physics; ItaliaFil: Gramajo, Ana Laura. The Abdus Salam. International Centre for Theoretical Physics; Italia. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Villar, Paula Ines. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Lombardo, Fernando Cesar. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Fazio, Rosario. The Abdus Salam. International Centre for Theoretical Physics; Italia. Università degli Studi di Napoli Federico II; ItaliaVerein zur Forderung des Open Access Publizierens in den Quantenwissenschaften2023-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/228422Viotti, Ludmila; Gramajo, Ana Laura; Villar, Paula Ines; Lombardo, Fernando Cesar; Fazio, Rosario; Geometric phases along quantum trajectories; Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften; Quantum; 7; 6-2023; 1029-10522521-327XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.22331/q-2023-06-02-1029info:eu-repo/semantics/altIdentifier/url/https://quantum-journal.org/papers/q-2023-06-02-1029/info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2301.04222info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:53:26Zoai:ri.conicet.gov.ar:11336/228422instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:53:26.435CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Geometric phases along quantum trajectories
title Geometric phases along quantum trajectories
spellingShingle Geometric phases along quantum trajectories
Viotti, Ludmila
Geometric phases
Quantum trajectories
Quantum information
title_short Geometric phases along quantum trajectories
title_full Geometric phases along quantum trajectories
title_fullStr Geometric phases along quantum trajectories
title_full_unstemmed Geometric phases along quantum trajectories
title_sort Geometric phases along quantum trajectories
dc.creator.none.fl_str_mv Viotti, Ludmila
Gramajo, Ana Laura
Villar, Paula Ines
Lombardo, Fernando Cesar
Fazio, Rosario
author Viotti, Ludmila
author_facet Viotti, Ludmila
Gramajo, Ana Laura
Villar, Paula Ines
Lombardo, Fernando Cesar
Fazio, Rosario
author_role author
author2 Gramajo, Ana Laura
Villar, Paula Ines
Lombardo, Fernando Cesar
Fazio, Rosario
author2_role author
author
author
author
dc.subject.none.fl_str_mv Geometric phases
Quantum trajectories
Quantum information
topic Geometric phases
Quantum trajectories
Quantum information
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A monitored quantum system undergoing a cyclic evolution of the parameters governing its Hamiltonian accumulates a geometric phase that depends on the quantum trajectory followed by the system on its evolution. The phase value will be determined both by the unitary dynamics and by the interaction of the system with the environment. Consequently, the geometric phase will acquire a stochastic character due to the occurrence of random quantum jumps. Here we study the distribution function of geometric phases in monitored quantum systems and discuss when/if different quantities, proposed to measure geometric phases in open quantum systems, are representative of the distribution. We also consider a monitored echo protocol and discuss in which cases the distribution of the interference pattern extracted in the experiment is linked to the geometric phase. Furthermore, we unveil, for the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle and show how this critical behavior can be observed in an echo protocol. For the same parameters, the density matrix does not show any singularity. We illustrate all our main results by considering a paradigmatic case, a spin-1/2 immersed in time-varying a magnetic field in the presence of an external environment. The major outcomes of our analysis are however quite general and do not depend, in their qualitative features, on the choice of the model studied.
Fil: Viotti, Ludmila. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. The Abdus Salam. International Centre for Theoretical Physics; Italia. The Abdus Salam International Center for Theoretical Physics; Italia
Fil: Gramajo, Ana Laura. The Abdus Salam. International Centre for Theoretical Physics; Italia. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Villar, Paula Ines. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Lombardo, Fernando Cesar. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Fazio, Rosario. The Abdus Salam. International Centre for Theoretical Physics; Italia. Università degli Studi di Napoli Federico II; Italia
description A monitored quantum system undergoing a cyclic evolution of the parameters governing its Hamiltonian accumulates a geometric phase that depends on the quantum trajectory followed by the system on its evolution. The phase value will be determined both by the unitary dynamics and by the interaction of the system with the environment. Consequently, the geometric phase will acquire a stochastic character due to the occurrence of random quantum jumps. Here we study the distribution function of geometric phases in monitored quantum systems and discuss when/if different quantities, proposed to measure geometric phases in open quantum systems, are representative of the distribution. We also consider a monitored echo protocol and discuss in which cases the distribution of the interference pattern extracted in the experiment is linked to the geometric phase. Furthermore, we unveil, for the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle and show how this critical behavior can be observed in an echo protocol. For the same parameters, the density matrix does not show any singularity. We illustrate all our main results by considering a paradigmatic case, a spin-1/2 immersed in time-varying a magnetic field in the presence of an external environment. The major outcomes of our analysis are however quite general and do not depend, in their qualitative features, on the choice of the model studied.
publishDate 2023
dc.date.none.fl_str_mv 2023-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/228422
Viotti, Ludmila; Gramajo, Ana Laura; Villar, Paula Ines; Lombardo, Fernando Cesar; Fazio, Rosario; Geometric phases along quantum trajectories; Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften; Quantum; 7; 6-2023; 1029-1052
2521-327X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/228422
identifier_str_mv Viotti, Ludmila; Gramajo, Ana Laura; Villar, Paula Ines; Lombardo, Fernando Cesar; Fazio, Rosario; Geometric phases along quantum trajectories; Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften; Quantum; 7; 6-2023; 1029-1052
2521-327X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.22331/q-2023-06-02-1029
info:eu-repo/semantics/altIdentifier/url/https://quantum-journal.org/papers/q-2023-06-02-1029/
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2301.04222
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
publisher.none.fl_str_mv Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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