Entanglement and coherence in a spin-s XXZ system under non-uniform fields

Autores
Ríos, E.; Rossignoli, Raúl Dante; Canosa, Norma Beatriz
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We investigate entanglement and coherence in an XXZ spin s pair immersed in a non-uniform transverse magnetic field. The ground state and thermal entanglement phase diagrams are analyzed in detail in both the ferromagnetic and antiferromagnetic cases. It is shown that a non-uniform field can control the energy levels and the entanglement of the corresponding eigenstates, making it possible to entangle the system for any value of the exchange couplings, both at zero and finite temperatures. Moreover, the limit temperature for entanglement is shown to depend only on the difference between |h1 - h2| the fields applied at each spin, leading T > 0 for to a separability stripe in the (h1, h2) field plane such that the system becomes entangled above a threshold value of |h1 - h2|. These results are demonstrated to be rigorously valid for any spin s. On the other hand, the relative entropy of coherence in the standard basis, which coincides with the ground state entanglement entropy at T = 0 for any s, becomes non-zero for any value of the fields at T > 0, decreasing uniformly for sufficiently high T. A special critical point arising at T = 0 for non-uniform fields in the ferromagnetic case is also discussed.
Fil: Ríos, E.. Universidad Tecnológica Nacional. Facultad Regional Avellaneda; Argentina
Fil: Rossignoli, Raúl Dante. 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
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
Materia
NON-UNIFORM FIELDS
QUANTUM COHERENCE
QUANTUM ENTANGLEMENT
SPIN SYSTEMS
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:11336/54409
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/54409
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Entanglement and coherence in a spin-s XXZ system under non-uniform fieldsRíos, E.Rossignoli, Raúl DanteCanosa, Norma BeatrizNON-UNIFORM FIELDSQUANTUM COHERENCEQUANTUM ENTANGLEMENTSPIN SYSTEMShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We investigate entanglement and coherence in an XXZ spin s pair immersed in a non-uniform transverse magnetic field. The ground state and thermal entanglement phase diagrams are analyzed in detail in both the ferromagnetic and antiferromagnetic cases. It is shown that a non-uniform field can control the energy levels and the entanglement of the corresponding eigenstates, making it possible to entangle the system for any value of the exchange couplings, both at zero and finite temperatures. Moreover, the limit temperature for entanglement is shown to depend only on the difference between |h1 - h2| the fields applied at each spin, leading T > 0 for to a separability stripe in the (h1, h2) field plane such that the system becomes entangled above a threshold value of |h1 - h2|. These results are demonstrated to be rigorously valid for any spin s. On the other hand, the relative entropy of coherence in the standard basis, which coincides with the ground state entanglement entropy at T = 0 for any s, becomes non-zero for any value of the fields at T > 0, decreasing uniformly for sufficiently high T. A special critical point arising at T = 0 for non-uniform fields in the ferromagnetic case is also discussed.Fil: Ríos, E.. Universidad Tecnológica Nacional. Facultad Regional Avellaneda; ArgentinaFil: Rossignoli, Raúl Dante. 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; 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; ArgentinaIOP Publishing2017-04info: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/11336/54409Ríos, E.; Rossignoli, Raúl Dante; Canosa, Norma Beatriz; Entanglement and coherence in a spin-s XXZ system under non-uniform fields; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 50; 9; 4-2017; 1-120953-4075CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/1361-6455/aa66c3info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1361-6455/aa66c3/metainfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:46:03Zoai:ri.conicet.gov.ar:11336/54409instacron: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:34982025-10-15 14:46:03.387CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Entanglement and coherence in a spin-s XXZ system under non-uniform fields
title Entanglement and coherence in a spin-s XXZ system under non-uniform fields
spellingShingle Entanglement and coherence in a spin-s XXZ system under non-uniform fields
Ríos, E.
NON-UNIFORM FIELDS
QUANTUM COHERENCE
QUANTUM ENTANGLEMENT
SPIN SYSTEMS
title_short Entanglement and coherence in a spin-s XXZ system under non-uniform fields
title_full Entanglement and coherence in a spin-s XXZ system under non-uniform fields
title_fullStr Entanglement and coherence in a spin-s XXZ system under non-uniform fields
title_full_unstemmed Entanglement and coherence in a spin-s XXZ system under non-uniform fields
title_sort Entanglement and coherence in a spin-s XXZ system under non-uniform fields
dc.creator.none.fl_str_mv Ríos, E.
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author Ríos, E.
author_facet Ríos, E.
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author_role author
author2 Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author2_role author
author
dc.subject.none.fl_str_mv NON-UNIFORM FIELDS
QUANTUM COHERENCE
QUANTUM ENTANGLEMENT
SPIN SYSTEMS
topic NON-UNIFORM FIELDS
QUANTUM COHERENCE
QUANTUM ENTANGLEMENT
SPIN SYSTEMS
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 investigate entanglement and coherence in an XXZ spin s pair immersed in a non-uniform transverse magnetic field. The ground state and thermal entanglement phase diagrams are analyzed in detail in both the ferromagnetic and antiferromagnetic cases. It is shown that a non-uniform field can control the energy levels and the entanglement of the corresponding eigenstates, making it possible to entangle the system for any value of the exchange couplings, both at zero and finite temperatures. Moreover, the limit temperature for entanglement is shown to depend only on the difference between |h1 - h2| the fields applied at each spin, leading T > 0 for to a separability stripe in the (h1, h2) field plane such that the system becomes entangled above a threshold value of |h1 - h2|. These results are demonstrated to be rigorously valid for any spin s. On the other hand, the relative entropy of coherence in the standard basis, which coincides with the ground state entanglement entropy at T = 0 for any s, becomes non-zero for any value of the fields at T > 0, decreasing uniformly for sufficiently high T. A special critical point arising at T = 0 for non-uniform fields in the ferromagnetic case is also discussed.
Fil: Ríos, E.. Universidad Tecnológica Nacional. Facultad Regional Avellaneda; Argentina
Fil: Rossignoli, Raúl Dante. 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
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
description We investigate entanglement and coherence in an XXZ spin s pair immersed in a non-uniform transverse magnetic field. The ground state and thermal entanglement phase diagrams are analyzed in detail in both the ferromagnetic and antiferromagnetic cases. It is shown that a non-uniform field can control the energy levels and the entanglement of the corresponding eigenstates, making it possible to entangle the system for any value of the exchange couplings, both at zero and finite temperatures. Moreover, the limit temperature for entanglement is shown to depend only on the difference between |h1 - h2| the fields applied at each spin, leading T > 0 for to a separability stripe in the (h1, h2) field plane such that the system becomes entangled above a threshold value of |h1 - h2|. These results are demonstrated to be rigorously valid for any spin s. On the other hand, the relative entropy of coherence in the standard basis, which coincides with the ground state entanglement entropy at T = 0 for any s, becomes non-zero for any value of the fields at T > 0, decreasing uniformly for sufficiently high T. A special critical point arising at T = 0 for non-uniform fields in the ferromagnetic case is also discussed.
publishDate 2017
dc.date.none.fl_str_mv 2017-04
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/11336/54409
Ríos, E.; Rossignoli, Raúl Dante; Canosa, Norma Beatriz; Entanglement and coherence in a spin-s XXZ system under non-uniform fields; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 50; 9; 4-2017; 1-12
0953-4075
CONICET Digital
CONICET
url http://hdl.handle.net/11336/54409
identifier_str_mv Ríos, E.; Rossignoli, Raúl Dante; Canosa, Norma Beatriz; Entanglement and coherence in a spin-s XXZ system under non-uniform fields; IOP Publishing; Journal of Physics B: Atomic, Molecular and Optical Physics; 50; 9; 4-2017; 1-12
0953-4075
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/1361-6455/aa66c3
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1361-6455/aa66c3/meta
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 IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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 13.22299

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