Geometric phase with nonunitary evolution in the presence of a quantum critical bath

Autores
Cucchietti, F.M.; Zhang, J.-F.; Lombardo, Fernando Cesar; Villar, Paula Ines; Laflamme, R.
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Geometric phases, arising from cyclic evolutions in a curved parameter space, appear in a wealth of physical settings. Recently, and largely motivated by the need of an experimentally realistic definition for quantum computing applications, the quantum geometric phase was generalized to open systems. The definition takes a kinematical approach, with an initial state that is evolved cyclically but coupled to an environment-leading to a correction of the geometric phase with respect to the uncoupled case. We obtain this correction by measuring the nonunitary evolution of the reduced density matrix of a spin one-half coupled to an environment. In particular we are interested in baths near a quantum phase transition, which are known to induce strong decoherence. The experiments are done with a NMR quantum simulator, where we emulate qualitatively the influence of a critical environment using a simple one-qubit model. © 2010 The American Physical Society.
Fil: Cucchietti, F.M.. Institut de Ciencies Fotoniques; España
Fil: Zhang, J.-F.. University of Waterloo; Canadá
Fil: Lombardo, Fernando Cesar. Universidad de Buenos Aires; 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: Villar, Paula Ines. Barcelona Supercomputing Center - Centro Nacional de Supercomputacion; España. Universidad de Buenos Aires; 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: Laflamme, R.. Perimeter Institute For Theoretical Physics; Canadá. University of Waterloo; Canadá
Materia
Geometric Phase
Decoherence
Critical Bath
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/57236

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spelling Geometric phase with nonunitary evolution in the presence of a quantum critical bathCucchietti, F.M.Zhang, J.-F.Lombardo, Fernando CesarVillar, Paula InesLaflamme, R.Geometric PhaseDecoherenceCritical Bathhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Geometric phases, arising from cyclic evolutions in a curved parameter space, appear in a wealth of physical settings. Recently, and largely motivated by the need of an experimentally realistic definition for quantum computing applications, the quantum geometric phase was generalized to open systems. The definition takes a kinematical approach, with an initial state that is evolved cyclically but coupled to an environment-leading to a correction of the geometric phase with respect to the uncoupled case. We obtain this correction by measuring the nonunitary evolution of the reduced density matrix of a spin one-half coupled to an environment. In particular we are interested in baths near a quantum phase transition, which are known to induce strong decoherence. The experiments are done with a NMR quantum simulator, where we emulate qualitatively the influence of a critical environment using a simple one-qubit model. © 2010 The American Physical Society.Fil: Cucchietti, F.M.. Institut de Ciencies Fotoniques; EspañaFil: Zhang, J.-F.. University of Waterloo; CanadáFil: Lombardo, Fernando Cesar. Universidad de Buenos Aires; 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: Villar, Paula Ines. Barcelona Supercomputing Center - Centro Nacional de Supercomputacion; España. Universidad de Buenos Aires; 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: Laflamme, R.. Perimeter Institute For Theoretical Physics; Canadá. University of Waterloo; CanadáAmerican Physical Society2010-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/57236Cucchietti, F.M.; Zhang, J.-F.; Lombardo, Fernando Cesar; Villar, Paula Ines; Laflamme, R.; Geometric phase with nonunitary evolution in the presence of a quantum critical bath; American Physical Society; Physical Review Letters; 105; 24; 12-2010; 2404061-24040640031-9007CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.105.240406info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:31:16Zoai:ri.conicet.gov.ar:11336/57236instacron: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:34982025-09-29 10:31:17.264CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Geometric phase with nonunitary evolution in the presence of a quantum critical bath
title Geometric phase with nonunitary evolution in the presence of a quantum critical bath
spellingShingle Geometric phase with nonunitary evolution in the presence of a quantum critical bath
Cucchietti, F.M.
Geometric Phase
Decoherence
Critical Bath
title_short Geometric phase with nonunitary evolution in the presence of a quantum critical bath
title_full Geometric phase with nonunitary evolution in the presence of a quantum critical bath
title_fullStr Geometric phase with nonunitary evolution in the presence of a quantum critical bath
title_full_unstemmed Geometric phase with nonunitary evolution in the presence of a quantum critical bath
title_sort Geometric phase with nonunitary evolution in the presence of a quantum critical bath
dc.creator.none.fl_str_mv Cucchietti, F.M.
Zhang, J.-F.
Lombardo, Fernando Cesar
Villar, Paula Ines
Laflamme, R.
author Cucchietti, F.M.
author_facet Cucchietti, F.M.
Zhang, J.-F.
Lombardo, Fernando Cesar
Villar, Paula Ines
Laflamme, R.
author_role author
author2 Zhang, J.-F.
Lombardo, Fernando Cesar
Villar, Paula Ines
Laflamme, R.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Geometric Phase
Decoherence
Critical Bath
topic Geometric Phase
Decoherence
Critical Bath
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Geometric phases, arising from cyclic evolutions in a curved parameter space, appear in a wealth of physical settings. Recently, and largely motivated by the need of an experimentally realistic definition for quantum computing applications, the quantum geometric phase was generalized to open systems. The definition takes a kinematical approach, with an initial state that is evolved cyclically but coupled to an environment-leading to a correction of the geometric phase with respect to the uncoupled case. We obtain this correction by measuring the nonunitary evolution of the reduced density matrix of a spin one-half coupled to an environment. In particular we are interested in baths near a quantum phase transition, which are known to induce strong decoherence. The experiments are done with a NMR quantum simulator, where we emulate qualitatively the influence of a critical environment using a simple one-qubit model. © 2010 The American Physical Society.
Fil: Cucchietti, F.M.. Institut de Ciencies Fotoniques; España
Fil: Zhang, J.-F.. University of Waterloo; Canadá
Fil: Lombardo, Fernando Cesar. Universidad de Buenos Aires; 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: Villar, Paula Ines. Barcelona Supercomputing Center - Centro Nacional de Supercomputacion; España. Universidad de Buenos Aires; 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: Laflamme, R.. Perimeter Institute For Theoretical Physics; Canadá. University of Waterloo; Canadá
description Geometric phases, arising from cyclic evolutions in a curved parameter space, appear in a wealth of physical settings. Recently, and largely motivated by the need of an experimentally realistic definition for quantum computing applications, the quantum geometric phase was generalized to open systems. The definition takes a kinematical approach, with an initial state that is evolved cyclically but coupled to an environment-leading to a correction of the geometric phase with respect to the uncoupled case. We obtain this correction by measuring the nonunitary evolution of the reduced density matrix of a spin one-half coupled to an environment. In particular we are interested in baths near a quantum phase transition, which are known to induce strong decoherence. The experiments are done with a NMR quantum simulator, where we emulate qualitatively the influence of a critical environment using a simple one-qubit model. © 2010 The American Physical Society.
publishDate 2010
dc.date.none.fl_str_mv 2010-12
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/11336/57236
Cucchietti, F.M.; Zhang, J.-F.; Lombardo, Fernando Cesar; Villar, Paula Ines; Laflamme, R.; Geometric phase with nonunitary evolution in the presence of a quantum critical bath; American Physical Society; Physical Review Letters; 105; 24; 12-2010; 2404061-2404064
0031-9007
CONICET Digital
CONICET
url http://hdl.handle.net/11336/57236
identifier_str_mv Cucchietti, F.M.; Zhang, J.-F.; Lombardo, Fernando Cesar; Villar, Paula Ines; Laflamme, R.; Geometric phase with nonunitary evolution in the presence of a quantum critical bath; American Physical Society; Physical Review Letters; 105; 24; 12-2010; 2404061-2404064
0031-9007
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevLett.105.240406
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
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:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
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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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