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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/125775
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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:UNLP2025-09-03T11:01:59Zoai: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:13292025-09-03 11:01:59.856SEDICI (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) |
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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 |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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