Separability and parity transitions in XYZ spin systems under nonuniform fields

Autores
Canosa, Norma Beatriz; Mothe, Raphaël; Rossignoli, Raúl Dante
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We examine the existence of completely separable ground states (GS) in finite spin-s arrays with anisotropic XYZ couplings, immersed in a nonuniform magnetic field along one of the principal axes. The general conditions for their existence are determined. The analytic expressions for the separability curve in field space, and for the ensuing factorized state and GS energy, are then derived for alternating solutions, valid for any spin and size. They generalize results for uniform fields and show that nonuniform fields can induce GS factorization also in systems which do not exhibit this phenomenon in a uniform field. It is also shown that such a curve corresponds to a fundamental Sz-parity transition of the GS, present for any spin and size, and that two different types of GS parity diagrams can emerge, according to the anisotropy. The role of factorization in the magnetization and entanglement of these systems is also analyzed, and analytic expressions at the borders of the factorizing curve are provided. Illustrative examples for spin pairs and chains are as well discussed.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
Phase diagrams
Quantum entanglement
Quantum phase transitions
Quantum spin models
Exact solutions for many-body systems
Quantum spin chains
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:10915/125775
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/125775
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Separability and parity transitions in XYZ spin systems under nonuniform fieldsCanosa, Norma BeatrizMothe, RaphaëlRossignoli, Raúl DanteCiencias ExactasFísicaPhase diagramsQuantum entanglementQuantum phase transitionsQuantum spin modelsExact solutions for many-body systemsQuantum spin chainsWe examine the existence of completely separable ground states (GS) in finite spin-s arrays with anisotropic XYZ couplings, immersed in a nonuniform magnetic field along one of the principal axes. The general conditions for their existence are determined. The analytic expressions for the separability curve in field space, and for the ensuing factorized state and GS energy, are then derived for alternating solutions, valid for any spin and size. They generalize results for uniform fields and show that nonuniform fields can induce GS factorization also in systems which do not exhibit this phenomenon in a uniform field. It is also shown that such a curve corresponds to a fundamental S<sub>z</sub>-parity transition of the GS, present for any spin and size, and that two different types of GS parity diagrams can emerge, according to the anisotropy. The role of factorization in the magnetization and entanglement of these systems is also analyzed, and analytic expressions at the borders of the factorizing curve are provided. Illustrative examples for spin pairs and chains are as well discussed.Facultad de Ciencias ExactasInstituto de Física La Plata2020-05-05info: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/10915/125775enginfo:eu-repo/semantics/altIdentifier/issn/2469-9926info:eu-repo/semantics/altIdentifier/issn/2469-9934info:eu-repo/semantics/altIdentifier/arxiv/1911.06114info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.101.052103info: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:UNLP2025-09-29T11:29:54Zoai:sedici.unlp.edu.ar:10915/125775Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:29:54.66SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Separability and parity transitions in XYZ spin systems under nonuniform fields
title Separability and parity transitions in XYZ spin systems under nonuniform fields
spellingShingle Separability and parity transitions in XYZ spin systems under nonuniform fields
Canosa, Norma Beatriz
Ciencias Exactas
Física
Phase diagrams
Quantum entanglement
Quantum phase transitions
Quantum spin models
Exact solutions for many-body systems
Quantum spin chains
title_short Separability and parity transitions in XYZ spin systems under nonuniform fields
title_full Separability and parity transitions in XYZ spin systems under nonuniform fields
title_fullStr Separability and parity transitions in XYZ spin systems under nonuniform fields
title_full_unstemmed Separability and parity transitions in XYZ spin systems under nonuniform fields
title_sort Separability and parity transitions in XYZ spin systems under nonuniform fields
dc.creator.none.fl_str_mv Canosa, Norma Beatriz
Mothe, Raphaël
Rossignoli, Raúl Dante
author Canosa, Norma Beatriz
author_facet Canosa, Norma Beatriz
Mothe, Raphaël
Rossignoli, Raúl Dante
author_role author
author2 Mothe, Raphaël
Rossignoli, Raúl Dante
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Phase diagrams
Quantum entanglement
Quantum phase transitions
Quantum spin models
Exact solutions for many-body systems
Quantum spin chains
topic Ciencias Exactas
Física
Phase diagrams
Quantum entanglement
Quantum phase transitions
Quantum spin models
Exact solutions for many-body systems
Quantum spin chains
dc.description.none.fl_txt_mv We examine the existence of completely separable ground states (GS) in finite spin-s arrays with anisotropic XYZ couplings, immersed in a nonuniform magnetic field along one of the principal axes. The general conditions for their existence are determined. The analytic expressions for the separability curve in field space, and for the ensuing factorized state and GS energy, are then derived for alternating solutions, valid for any spin and size. They generalize results for uniform fields and show that nonuniform fields can induce GS factorization also in systems which do not exhibit this phenomenon in a uniform field. It is also shown that such a curve corresponds to a fundamental S<sub>z</sub>-parity transition of the GS, present for any spin and size, and that two different types of GS parity diagrams can emerge, according to the anisotropy. The role of factorization in the magnetization and entanglement of these systems is also analyzed, and analytic expressions at the borders of the factorizing curve are provided. Illustrative examples for spin pairs and chains are as well discussed.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description We examine the existence of completely separable ground states (GS) in finite spin-s arrays with anisotropic XYZ couplings, immersed in a nonuniform magnetic field along one of the principal axes. The general conditions for their existence are determined. The analytic expressions for the separability curve in field space, and for the ensuing factorized state and GS energy, are then derived for alternating solutions, valid for any spin and size. They generalize results for uniform fields and show that nonuniform fields can induce GS factorization also in systems which do not exhibit this phenomenon in a uniform field. It is also shown that such a curve corresponds to a fundamental S<sub>z</sub>-parity transition of the GS, present for any spin and size, and that two different types of GS parity diagrams can emerge, according to the anisotropy. The role of factorization in the magnetization and entanglement of these systems is also analyzed, and analytic expressions at the borders of the factorizing curve are provided. Illustrative examples for spin pairs and chains are as well discussed.
publishDate 2020
dc.date.none.fl_str_mv 2020-05-05
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/10915/125775
url http://sedici.unlp.edu.ar/handle/10915/125775
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/2469-9926
info:eu-repo/semantics/altIdentifier/issn/2469-9934
info:eu-repo/semantics/altIdentifier/arxiv/1911.06114
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.101.052103
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
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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score 13.069144

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