Quantum discord in finite XY chains

Autores
Ciliberti, Leonardo Francisco; Rossignoli, Raúl Dante; Canosa, Norma Beatriz
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We examine the quantum discord between two spins in the exact ground state of finite spin-1/2 arrays with anisotropic XY couplings in a transverse field B. It is shown that in the vicinity of the factorizing field Bs, the discord approaches a common finite non-negligible limit which is independent of the pair separation and the coupling range. An analytic expression of this limit is provided. The discord of a mixture of aligned pairs in two different directions, crucial for the previous results, is analyzed in detail, including the evaluation of coherence effects, relevant in small samples and responsible for a parity splitting at Bs. Exact results for finite chains with first-neighbor and full-range couplings and their interpretation in terms of such mixtures are provided.
Instituto de Física La Plata
Materia
Física
Coupling
Physics
Quantum discord
Quantum state
Parity (physics)
Spins
Quantum mechanics
Ground state
Anisotropy
Coherence (physics)
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:10915/126472
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/126472
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Quantum discord in finite XY chainsCiliberti, Leonardo FranciscoRossignoli, Raúl DanteCanosa, Norma BeatrizFísicaCouplingPhysicsQuantum discordQuantum stateParity (physics)SpinsQuantum mechanicsGround stateAnisotropyCoherence (physics)We examine the quantum discord between two spins in the exact ground state of finite spin-1/2 arrays with anisotropic XY couplings in a transverse field B. It is shown that in the vicinity of the factorizing field Bs, the discord approaches a common finite non-negligible limit which is independent of the pair separation and the coupling range. An analytic expression of this limit is provided. The discord of a mixture of aligned pairs in two different directions, crucial for the previous results, is analyzed in detail, including the evaluation of coherence effects, relevant in small samples and responsible for a parity splitting at Bs. Exact results for finite chains with first-neighbor and full-range couplings and their interpretation in terms of such mixtures are provided.Instituto de Física La Plata2010-10-19info: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/10915/126472enginfo:eu-repo/semantics/altIdentifier/issn/1050-2947info:eu-repo/semantics/altIdentifier/issn/1094-1622info:eu-repo/semantics/altIdentifier/arxiv/1105.0027v1info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.82.042316info: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:UNLP2025-09-29T11:30:18Zoai:sedici.unlp.edu.ar:10915/126472Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:30:19.289SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Quantum discord in finite XY chains
title Quantum discord in finite XY chains
spellingShingle Quantum discord in finite XY chains
Ciliberti, Leonardo Francisco
Física
Coupling
Physics
Quantum discord
Quantum state
Parity (physics)
Spins
Quantum mechanics
Ground state
Anisotropy
Coherence (physics)
title_short Quantum discord in finite XY chains
title_full Quantum discord in finite XY chains
title_fullStr Quantum discord in finite XY chains
title_full_unstemmed Quantum discord in finite XY chains
title_sort Quantum discord in finite XY chains
dc.creator.none.fl_str_mv Ciliberti, Leonardo Francisco
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author Ciliberti, Leonardo Francisco
author_facet Ciliberti, Leonardo Francisco
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 Física
Coupling
Physics
Quantum discord
Quantum state
Parity (physics)
Spins
Quantum mechanics
Ground state
Anisotropy
Coherence (physics)
topic Física
Coupling
Physics
Quantum discord
Quantum state
Parity (physics)
Spins
Quantum mechanics
Ground state
Anisotropy
Coherence (physics)
dc.description.none.fl_txt_mv We examine the quantum discord between two spins in the exact ground state of finite spin-1/2 arrays with anisotropic XY couplings in a transverse field B. It is shown that in the vicinity of the factorizing field Bs, the discord approaches a common finite non-negligible limit which is independent of the pair separation and the coupling range. An analytic expression of this limit is provided. The discord of a mixture of aligned pairs in two different directions, crucial for the previous results, is analyzed in detail, including the evaluation of coherence effects, relevant in small samples and responsible for a parity splitting at Bs. Exact results for finite chains with first-neighbor and full-range couplings and their interpretation in terms of such mixtures are provided.
Instituto de Física La Plata
description We examine the quantum discord between two spins in the exact ground state of finite spin-1/2 arrays with anisotropic XY couplings in a transverse field B. It is shown that in the vicinity of the factorizing field Bs, the discord approaches a common finite non-negligible limit which is independent of the pair separation and the coupling range. An analytic expression of this limit is provided. The discord of a mixture of aligned pairs in two different directions, crucial for the previous results, is analyzed in detail, including the evaluation of coherence effects, relevant in small samples and responsible for a parity splitting at Bs. Exact results for finite chains with first-neighbor and full-range couplings and their interpretation in terms of such mixtures are provided.
publishDate 2010
dc.date.none.fl_str_mv 2010-10-19
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/10915/126472
url http://sedici.unlp.edu.ar/handle/10915/126472
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1050-2947
info:eu-repo/semantics/altIdentifier/issn/1094-1622
info:eu-repo/semantics/altIdentifier/arxiv/1105.0027v1
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.82.042316
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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