Separability conditions and limit temperatures for entanglement detection in two-qubit Heisenberg XYZ models

Autores
Canosa, Norma Beatriz; Rossignoli, Raúl Dante
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We examine the entanglement of general mixed states of a two-qubit Heisenberg XYZ chain in the presence of a magnetic field, and its detection by means of different criteria. Both the exact separability conditions and the weaker conditions implied by the disorder and the von Neumann entropic criteria are analyzed. The ensuing limit temperatures for entanglement in thermal states of different XYZ models are then examined and compared with the limit temperature of the symmetry-breaking solution in a mean-field-type approximation. The latter, though generally lower, can also be higher than the exact limit temperature for entanglement in certain cases, indicating that symmetry breaking does not necessarily entail entanglement. The reentry of entanglement for increasing temperatures is also discussed.
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
entanglement
magnetic field
symmetry-breaking solution
two-qubit Heisenberg
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/125869
Acceder
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repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Separability conditions and limit temperatures for entanglement detection in two-qubit Heisenberg XYZ modelsCanosa, Norma BeatrizRossignoli, Raúl DanteCiencias ExactasFísicaentanglementmagnetic fieldsymmetry-breaking solutiontwo-qubit HeisenbergWe examine the entanglement of general mixed states of a two-qubit Heisenberg XYZ chain in the presence of a magnetic field, and its detection by means of different criteria. Both the exact separability conditions and the weaker conditions implied by the disorder and the von Neumann entropic criteria are analyzed. The ensuing limit temperatures for entanglement in thermal states of different XYZ models are then examined and compared with the limit temperature of the symmetry-breaking solution in a mean-field-type approximation. The latter, though generally lower, can also be higher than the exact limit temperature for entanglement in certain cases, indicating that symmetry breaking does not necessarily entail entanglement. The reentry of entanglement for increasing temperatures is also discussed.Instituto de Física La Plata2004-05-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/125869enginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.69.052306info:eu-repo/semantics/altIdentifier/issn/1050-2947info:eu-repo/semantics/altIdentifier/issn/1094-1622info:eu-repo/semantics/altIdentifier/arxiv/1609.08682info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.69.052306info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:30:23Zoai:sedici.unlp.edu.ar:10915/125869Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:30:23.338SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Separability conditions and limit temperatures for entanglement detection in two-qubit Heisenberg XYZ models
title Separability conditions and limit temperatures for entanglement detection in two-qubit Heisenberg XYZ models
spellingShingle Separability conditions and limit temperatures for entanglement detection in two-qubit Heisenberg XYZ models
Canosa, Norma Beatriz
Ciencias Exactas
Física
entanglement
magnetic field
symmetry-breaking solution
two-qubit Heisenberg
title_short Separability conditions and limit temperatures for entanglement detection in two-qubit Heisenberg XYZ models
title_full Separability conditions and limit temperatures for entanglement detection in two-qubit Heisenberg XYZ models
title_fullStr Separability conditions and limit temperatures for entanglement detection in two-qubit Heisenberg XYZ models
title_full_unstemmed Separability conditions and limit temperatures for entanglement detection in two-qubit Heisenberg XYZ models
title_sort Separability conditions and limit temperatures for entanglement detection in two-qubit Heisenberg XYZ models
dc.creator.none.fl_str_mv Canosa, Norma Beatriz
Rossignoli, Raúl Dante
author Canosa, Norma Beatriz
author_facet Canosa, Norma Beatriz
Rossignoli, Raúl Dante
author_role author
author2 Rossignoli, Raúl Dante
author2_role author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
entanglement
magnetic field
symmetry-breaking solution
two-qubit Heisenberg
topic Ciencias Exactas
Física
entanglement
magnetic field
symmetry-breaking solution
two-qubit Heisenberg
dc.description.none.fl_txt_mv We examine the entanglement of general mixed states of a two-qubit Heisenberg XYZ chain in the presence of a magnetic field, and its detection by means of different criteria. Both the exact separability conditions and the weaker conditions implied by the disorder and the von Neumann entropic criteria are analyzed. The ensuing limit temperatures for entanglement in thermal states of different XYZ models are then examined and compared with the limit temperature of the symmetry-breaking solution in a mean-field-type approximation. The latter, though generally lower, can also be higher than the exact limit temperature for entanglement in certain cases, indicating that symmetry breaking does not necessarily entail entanglement. The reentry of entanglement for increasing temperatures is also discussed.
Instituto de Física La Plata
description We examine the entanglement of general mixed states of a two-qubit Heisenberg XYZ chain in the presence of a magnetic field, and its detection by means of different criteria. Both the exact separability conditions and the weaker conditions implied by the disorder and the von Neumann entropic criteria are analyzed. The ensuing limit temperatures for entanglement in thermal states of different XYZ models are then examined and compared with the limit temperature of the symmetry-breaking solution in a mean-field-type approximation. The latter, though generally lower, can also be higher than the exact limit temperature for entanglement in certain cases, indicating that symmetry breaking does not necessarily entail entanglement. The reentry of entanglement for increasing temperatures is also discussed.
publishDate 2004
dc.date.none.fl_str_mv 2004-05-11
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/10915/125869
url http://sedici.unlp.edu.ar/handle/10915/125869
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.69.052306
info:eu-repo/semantics/altIdentifier/issn/1050-2947
info:eu-repo/semantics/altIdentifier/issn/1094-1622
info:eu-repo/semantics/altIdentifier/arxiv/1609.08682
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.69.052306
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
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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