Generalized mean-field description of entanglement in dimerized spin systems

We discuss a generalized self-consistent mean-field (MF) treatment, based on the selection of an arbitrary subset of operators for representing the system density matrix, and its application to the problem of entanglement evaluation in composite quantum systems. As a specific example, we examine in...

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Autores: Boette, Alan, Rossignoli, Raúl Dante, Canosa, Norma, Matera, Juan Mauricio
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2015
País:Argentina
Institución:Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
Repositorio:CIC Digital (CICBA)
Idioma:inglés
OAI Identifier:oai:digital.cic.gba.gob.ar:11746/9966
Acceso en línea:https://digital.cic.gba.gob.ar/handle/11746/9966
Access Level:acceso abierto
Palabra clave:Ingenierías y Tecnologías
Quantum entanglement
Dimerized spin systems
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spelling Generalized mean-field description of entanglement in dimerized spin systemsBoette, AlanRossignoli, Raúl DanteCanosa, NormaMatera, Juan MauricioIngenierías y TecnologíasQuantum entanglementDimerized spin systemsWe discuss a generalized self-consistent mean-field (MF) treatment, based on the selection of an arbitrary subset of operators for representing the system density matrix, and its application to the problem of entanglement evaluation in composite quantum systems. As a specific example, we examine in detail a pair MF approach to the ground state (GS) of dimerized spin-1/2 systems with anisotropic ferromagnetic-type XY and XYZ couplings in a transverse field, including chains and arrays with first neighbor and also longer range couplings. The approach is fully analytic and able to capture the main features of the GS of these systems, in contrast with the conventional single-spin MF. Its phase diagram differs significantly from that of the latter, exhibiting (Sz) parity breaking just in a finite field window if the coupling between pairs is sufficiently weak, together with a fully dimerized phase below this window and a partially aligned phase above it. It is then shown that through symmetry restoration. the approach is able to correctly predict not only the concurrence of a pair, but also its entanglement with the rest of the chain, which shows a pronounced peak in the parity breaking window. Perturbative corrections allow to reproduce more subtle observables like the entanglement between weakly coupled spins and the low lying energy spectrum. All predictions are tested against exact results for finite systems.2015-02-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttps://digital.cic.gba.gob.ar/handle/11746/9966enginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.91.064428info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/reponame:CIC Digital (CICBA)instname:Comisión de Investigaciones Científicas de la Provincia de Buenos Airesinstacron:CICBA2024-05-10T10:39:02Zoai:digital.cic.gba.gob.ar:11746/9966Institucionalhttp://digital.cic.gba.gob.arOrganismo científico-tecnológicoNo correspondehttp://digital.cic.gba.gob.ar/oai/snrdmarisa.degiusti@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:94412024-05-10 10:39:02.285CIC Digital (CICBA) - Comisión de Investigaciones Científicas de la Provincia de Buenos Airesfalse
dc.title.none.fl_str_mv Generalized mean-field description of entanglement in dimerized spin systems
title Generalized mean-field description of entanglement in dimerized spin systems
spellingShingle Generalized mean-field description of entanglement in dimerized spin systems
Boette, Alan
Ingenierías y Tecnologías
Quantum entanglement
Dimerized spin systems
title_short Generalized mean-field description of entanglement in dimerized spin systems
title_full Generalized mean-field description of entanglement in dimerized spin systems
title_fullStr Generalized mean-field description of entanglement in dimerized spin systems
title_full_unstemmed Generalized mean-field description of entanglement in dimerized spin systems
title_sort Generalized mean-field description of entanglement in dimerized spin systems
dc.creator.none.fl_str_mv Boette, Alan
Rossignoli, Raúl Dante
Canosa, Norma
Matera, Juan Mauricio
author Boette, Alan
author_facet Boette, Alan
Rossignoli, Raúl Dante
Canosa, Norma
Matera, Juan Mauricio
author_role author
author2 Rossignoli, Raúl Dante
Canosa, Norma
Matera, Juan Mauricio
author2_role author
author
author
dc.subject.none.fl_str_mv Ingenierías y Tecnologías
Quantum entanglement
Dimerized spin systems
topic Ingenierías y Tecnologías
Quantum entanglement
Dimerized spin systems
description We discuss a generalized self-consistent mean-field (MF) treatment, based on the selection of an arbitrary subset of operators for representing the system density matrix, and its application to the problem of entanglement evaluation in composite quantum systems. As a specific example, we examine in detail a pair MF approach to the ground state (GS) of dimerized spin-1/2 systems with anisotropic ferromagnetic-type XY and XYZ couplings in a transverse field, including chains and arrays with first neighbor and also longer range couplings. The approach is fully analytic and able to capture the main features of the GS of these systems, in contrast with the conventional single-spin MF. Its phase diagram differs significantly from that of the latter, exhibiting (Sz) parity breaking just in a finite field window if the coupling between pairs is sufficiently weak, together with a fully dimerized phase below this window and a partially aligned phase above it. It is then shown that through symmetry restoration. the approach is able to correctly predict not only the concurrence of a pair, but also its entanglement with the rest of the chain, which shows a pronounced peak in the parity breaking window. Perturbative corrections allow to reproduce more subtle observables like the entanglement between weakly coupled spins and the low lying energy spectrum. All predictions are tested against exact results for finite systems.
publishDate 2015
dc.date.none.fl_str_mv 2015-02-27
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://digital.cic.gba.gob.ar/handle/11746/9966
url https://digital.cic.gba.gob.ar/handle/11746/9966
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.91.064428
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv reponame:CIC Digital (CICBA)
instname:Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
instacron:CICBA
instname_str Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
instacron_str CICBA
institution CICBA
reponame_str CIC Digital (CICBA)
collection CIC Digital (CICBA)
repository.name.fl_str_mv CIC Digital (CICBA) - Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
repository.mail.fl_str_mv marisa.degiusti@sedici.unlp.edu.ar
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