Discord and information deficit in the xx chain

Autores
Ciliberti, Leonardo Francisco Nuncio; Canosa, Norma Beatriz; Rossignoli, Raul Dante
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We examine the quantum correlations of spin pairs in the cyclic XX spin-1/2 chain in a transverse field through the analysis of the quantum discord, the geometric discord, and the information deficit. It is shown that while these quantities provide the same qualitative information, being nonzero for all temperatures and separations and exhibiting the same type of asymptotic behavior for large temperatures or separations, important differences arise in the minimizing local measurement that defines them. Whereas the quantum discord prefers a spin measurement perpendicular to the transverse field, the geometric discord and information deficit exhibit a perpendicular-to-parallel transition as the field increases, which subsists at all temperatures and for all separations. Moreover, it is shown that such transition signals the change from a Bell state to an aligned separable state of the dominant eigenstate of the reduced density matrix of the pair. Full exact results for both the thermodynamic limit and the finite chain are provided through the Jordan-Wigner fermionization.
Fil: Ciliberti, Leonardo Francisco Nuncio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Fil: Canosa, Norma Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Fil: Rossignoli, Raul Dante. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Quantum correlations
Quantum Discord
Phase transition
Spin chains
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:11336/23500
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Discord and information deficit in the xx chainCiliberti, Leonardo Francisco NuncioCanosa, Norma BeatrizRossignoli, Raul DanteQuantum correlationsQuantum DiscordPhase transitionSpin chainshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We examine the quantum correlations of spin pairs in the cyclic XX spin-1/2 chain in a transverse field through the analysis of the quantum discord, the geometric discord, and the information deficit. It is shown that while these quantities provide the same qualitative information, being nonzero for all temperatures and separations and exhibiting the same type of asymptotic behavior for large temperatures or separations, important differences arise in the minimizing local measurement that defines them. Whereas the quantum discord prefers a spin measurement perpendicular to the transverse field, the geometric discord and information deficit exhibit a perpendicular-to-parallel transition as the field increases, which subsists at all temperatures and for all separations. Moreover, it is shown that such transition signals the change from a Bell state to an aligned separable state of the dominant eigenstate of the reduced density matrix of the pair. Full exact results for both the thermodynamic limit and the finite chain are provided through the Jordan-Wigner fermionization.Fil: Ciliberti, Leonardo Francisco Nuncio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; ArgentinaFil: Canosa, Norma Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; ArgentinaFil: Rossignoli, Raul Dante. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaAmerican Physical Society2013-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/23500Ciliberti, Leonardo Francisco Nuncio; Canosa, Norma Beatriz; Rossignoli, Raul Dante; Discord and information deficit in the xx chain; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 88; 1; 7-2013; 12119-121301050-2947CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.88.012119info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.88.012119info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1304.7309info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:49:48Zoai:ri.conicet.gov.ar:11336/23500instacron: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 09:49:48.659CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Discord and information deficit in the xx chain
title Discord and information deficit in the xx chain
spellingShingle Discord and information deficit in the xx chain
Ciliberti, Leonardo Francisco Nuncio
Quantum correlations
Quantum Discord
Phase transition
Spin chains
title_short Discord and information deficit in the xx chain
title_full Discord and information deficit in the xx chain
title_fullStr Discord and information deficit in the xx chain
title_full_unstemmed Discord and information deficit in the xx chain
title_sort Discord and information deficit in the xx chain
dc.creator.none.fl_str_mv Ciliberti, Leonardo Francisco Nuncio
Canosa, Norma Beatriz
Rossignoli, Raul Dante
author Ciliberti, Leonardo Francisco Nuncio
author_facet Ciliberti, Leonardo Francisco Nuncio
Canosa, Norma Beatriz
Rossignoli, Raul Dante
author_role author
author2 Canosa, Norma Beatriz
Rossignoli, Raul Dante
author2_role author
author
dc.subject.none.fl_str_mv Quantum correlations
Quantum Discord
Phase transition
Spin chains
topic Quantum correlations
Quantum Discord
Phase transition
Spin chains
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We examine the quantum correlations of spin pairs in the cyclic XX spin-1/2 chain in a transverse field through the analysis of the quantum discord, the geometric discord, and the information deficit. It is shown that while these quantities provide the same qualitative information, being nonzero for all temperatures and separations and exhibiting the same type of asymptotic behavior for large temperatures or separations, important differences arise in the minimizing local measurement that defines them. Whereas the quantum discord prefers a spin measurement perpendicular to the transverse field, the geometric discord and information deficit exhibit a perpendicular-to-parallel transition as the field increases, which subsists at all temperatures and for all separations. Moreover, it is shown that such transition signals the change from a Bell state to an aligned separable state of the dominant eigenstate of the reduced density matrix of the pair. Full exact results for both the thermodynamic limit and the finite chain are provided through the Jordan-Wigner fermionization.
Fil: Ciliberti, Leonardo Francisco Nuncio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Fil: Canosa, Norma Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Fil: Rossignoli, Raul Dante. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description We examine the quantum correlations of spin pairs in the cyclic XX spin-1/2 chain in a transverse field through the analysis of the quantum discord, the geometric discord, and the information deficit. It is shown that while these quantities provide the same qualitative information, being nonzero for all temperatures and separations and exhibiting the same type of asymptotic behavior for large temperatures or separations, important differences arise in the minimizing local measurement that defines them. Whereas the quantum discord prefers a spin measurement perpendicular to the transverse field, the geometric discord and information deficit exhibit a perpendicular-to-parallel transition as the field increases, which subsists at all temperatures and for all separations. Moreover, it is shown that such transition signals the change from a Bell state to an aligned separable state of the dominant eigenstate of the reduced density matrix of the pair. Full exact results for both the thermodynamic limit and the finite chain are provided through the Jordan-Wigner fermionization.
publishDate 2013
dc.date.none.fl_str_mv 2013-07
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/11336/23500
Ciliberti, Leonardo Francisco Nuncio; Canosa, Norma Beatriz; Rossignoli, Raul Dante; Discord and information deficit in the xx chain; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 88; 1; 7-2013; 12119-12130
1050-2947
CONICET Digital
CONICET
url http://hdl.handle.net/11336/23500
identifier_str_mv Ciliberti, Leonardo Francisco Nuncio; Canosa, Norma Beatriz; Rossignoli, Raul Dante; Discord and information deficit in the xx chain; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 88; 1; 7-2013; 12119-12130
1050-2947
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.88.012119
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.88.012119
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1304.7309
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
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)
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 13.070432

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