Evaluation of entanglement measures in spin systems with the random phase approximation

Autores
Canosa, Norma Beatriz; Matera, Juan Mauricio; Rossignoli, Raúl Dante
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We discuss a general formalism based on the mean field plus random phase approximation (RPA) for the evaluation of entanglement measures in the ground state of spin systems. The method provides a tractable scheme for determining the entanglement entropy as well as the negativity of finite subsystems, which becomes analytic in the case of systems with translational invariance, in one or D dimensions. The approach improves as the spin increases, and also as the interaction range or connectivity increases. Illustrative results for different types of entanglement entropies (single site, block and comb) in the ground state of a small spin lattice with ferromagnetic type XY couplings in a transverse field are shown and compared with the exact numerical result. Effects arising from symmetry breaking at the mean field level are also discussed.
Instituto de Física La Plata
Consejo Nacional de Investigaciones Científicas y Técnicas
Comisión de Investigaciones Científicas de la provincia de Buenos Aires
Materia
Física
quantum entanglement
random phase approximation
bosonization
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/145203
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/145203
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Evaluation of entanglement measures in spin systems with the random phase approximationCanosa, Norma BeatrizMatera, Juan MauricioRossignoli, Raúl DanteFísicaquantum entanglementrandom phase approximationbosonizationWe discuss a general formalism based on the mean field plus random phase approximation (RPA) for the evaluation of entanglement measures in the ground state of spin systems. The method provides a tractable scheme for determining the entanglement entropy as well as the negativity of finite subsystems, which becomes analytic in the case of systems with translational invariance, in one or D dimensions. The approach improves as the spin increases, and also as the interaction range or connectivity increases. Illustrative results for different types of entanglement entropies (single site, block and comb) in the ground state of a small spin lattice with ferromagnetic type XY couplings in a transverse field are shown and compared with the exact numerical result. Effects arising from symmetry breaking at the mean field level are also discussed.Instituto de Física La PlataConsejo Nacional de Investigaciones Científicas y TécnicasComisión de Investigaciones Científicas de la provincia de Buenos Aires2011-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf322-330http://sedici.unlp.edu.ar/handle/10915/145203enginfo:eu-repo/semantics/altIdentifier/issn/1071-2836info:eu-repo/semantics/altIdentifier/issn/1573-8760info:eu-repo/semantics/altIdentifier/doi/10.1007/s10946-011-9220-4info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T11:04:09Zoai:sedici.unlp.edu.ar:10915/145203Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:04:09.493SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Evaluation of entanglement measures in spin systems with the random phase approximation
title Evaluation of entanglement measures in spin systems with the random phase approximation
spellingShingle Evaluation of entanglement measures in spin systems with the random phase approximation
Canosa, Norma Beatriz
Física
quantum entanglement
random phase approximation
bosonization
title_short Evaluation of entanglement measures in spin systems with the random phase approximation
title_full Evaluation of entanglement measures in spin systems with the random phase approximation
title_fullStr Evaluation of entanglement measures in spin systems with the random phase approximation
title_full_unstemmed Evaluation of entanglement measures in spin systems with the random phase approximation
title_sort Evaluation of entanglement measures in spin systems with the random phase approximation
dc.creator.none.fl_str_mv Canosa, Norma Beatriz
Matera, Juan Mauricio
Rossignoli, Raúl Dante
author Canosa, Norma Beatriz
author_facet Canosa, Norma Beatriz
Matera, Juan Mauricio
Rossignoli, Raúl Dante
author_role author
author2 Matera, Juan Mauricio
Rossignoli, Raúl Dante
author2_role author
author
dc.subject.none.fl_str_mv Física
quantum entanglement
random phase approximation
bosonization
topic Física
quantum entanglement
random phase approximation
bosonization
dc.description.none.fl_txt_mv We discuss a general formalism based on the mean field plus random phase approximation (RPA) for the evaluation of entanglement measures in the ground state of spin systems. The method provides a tractable scheme for determining the entanglement entropy as well as the negativity of finite subsystems, which becomes analytic in the case of systems with translational invariance, in one or D dimensions. The approach improves as the spin increases, and also as the interaction range or connectivity increases. Illustrative results for different types of entanglement entropies (single site, block and comb) in the ground state of a small spin lattice with ferromagnetic type XY couplings in a transverse field are shown and compared with the exact numerical result. Effects arising from symmetry breaking at the mean field level are also discussed.
Instituto de Física La Plata
Consejo Nacional de Investigaciones Científicas y Técnicas
Comisión de Investigaciones Científicas de la provincia de Buenos Aires
description We discuss a general formalism based on the mean field plus random phase approximation (RPA) for the evaluation of entanglement measures in the ground state of spin systems. The method provides a tractable scheme for determining the entanglement entropy as well as the negativity of finite subsystems, which becomes analytic in the case of systems with translational invariance, in one or D dimensions. The approach improves as the spin increases, and also as the interaction range or connectivity increases. Illustrative results for different types of entanglement entropies (single site, block and comb) in the ground state of a small spin lattice with ferromagnetic type XY couplings in a transverse field are shown and compared with the exact numerical result. Effects arising from symmetry breaking at the mean field level are also discussed.
publishDate 2011
dc.date.none.fl_str_mv 2011-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/145203
url http://sedici.unlp.edu.ar/handle/10915/145203
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1071-2836
info:eu-repo/semantics/altIdentifier/issn/1573-8760
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10946-011-9220-4
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
322-330
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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