Correlations between Complexity and Entanglement in a One-Dimensional XY Model

Autores
Apel, V. M.; Mundarain, Douglas; Pennini, Flavia Catalina; Plastino, Ángel Luis
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Many people believe that the study of complex quantum systems may be simplified by first analyzing the static and dynamic entanglement present in those systems [Phys. Rev. A 66 (2002) 032110]. In this paper, we attempt to complement such notion by adding an order–disorder quantifier called statistical complexity and studying how it is correlated with the degree of entanglement as measured by the concurrence quantifier. We perform such an analysis with reference to a representative system chosen from condensed matter theory, the so-called XY model. Some interesting insight is obtained as the concurrence and the complexity become correlated in an unexpected fashion.
Fil: Apel, V. M.. Universidad Católica del Norte; Chile
Fil: Mundarain, Douglas. Universidad Católica del Norte; Chile
Fil: Pennini, Flavia Catalina. Universidad Católica del Norte; Chile. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Confluencia; Argentina
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. 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
CONCURRENCE
STATISTICAL COMPLEXITY
XY MODEL
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/140231
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Correlations between Complexity and Entanglement in a One-Dimensional XY ModelApel, V. M.Mundarain, DouglasPennini, Flavia CatalinaPlastino, Ángel LuisCONCURRENCESTATISTICAL COMPLEXITYXY MODELhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Many people believe that the study of complex quantum systems may be simplified by first analyzing the static and dynamic entanglement present in those systems [Phys. Rev. A 66 (2002) 032110]. In this paper, we attempt to complement such notion by adding an order–disorder quantifier called statistical complexity and studying how it is correlated with the degree of entanglement as measured by the concurrence quantifier. We perform such an analysis with reference to a representative system chosen from condensed matter theory, the so-called XY model. Some interesting insight is obtained as the concurrence and the complexity become correlated in an unexpected fashion.Fil: Apel, V. M.. Universidad Católica del Norte; ChileFil: Mundarain, Douglas. Universidad Católica del Norte; ChileFil: Pennini, Flavia Catalina. Universidad Católica del Norte; Chile. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Confluencia; ArgentinaFil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. 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; ArgentinaMDPI AG2020-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/140231Apel, V. M.; Mundarain, Douglas; Pennini, Flavia Catalina; Plastino, Ángel Luis; Correlations between Complexity and Entanglement in a One-Dimensional XY Model; MDPI AG; Quantum Reports; 2; 2; 5-2020; 305-3132624-960XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2624-960X/2/2/20info:eu-repo/semantics/altIdentifier/doi/10.3390/quantum2020020info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:26:57Zoai:ri.conicet.gov.ar:11336/140231instacron: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:34982025-10-22 11:26:58.006CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Correlations between Complexity and Entanglement in a One-Dimensional XY Model
title Correlations between Complexity and Entanglement in a One-Dimensional XY Model
spellingShingle Correlations between Complexity and Entanglement in a One-Dimensional XY Model
Apel, V. M.
CONCURRENCE
STATISTICAL COMPLEXITY
XY MODEL
title_short Correlations between Complexity and Entanglement in a One-Dimensional XY Model
title_full Correlations between Complexity and Entanglement in a One-Dimensional XY Model
title_fullStr Correlations between Complexity and Entanglement in a One-Dimensional XY Model
title_full_unstemmed Correlations between Complexity and Entanglement in a One-Dimensional XY Model
title_sort Correlations between Complexity and Entanglement in a One-Dimensional XY Model
dc.creator.none.fl_str_mv Apel, V. M.
Mundarain, Douglas
Pennini, Flavia Catalina
Plastino, Ángel Luis
author Apel, V. M.
author_facet Apel, V. M.
Mundarain, Douglas
Pennini, Flavia Catalina
Plastino, Ángel Luis
author_role author
author2 Mundarain, Douglas
Pennini, Flavia Catalina
Plastino, Ángel Luis
author2_role author
author
author
dc.subject.none.fl_str_mv CONCURRENCE
STATISTICAL COMPLEXITY
XY MODEL
topic CONCURRENCE
STATISTICAL COMPLEXITY
XY MODEL
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Many people believe that the study of complex quantum systems may be simplified by first analyzing the static and dynamic entanglement present in those systems [Phys. Rev. A 66 (2002) 032110]. In this paper, we attempt to complement such notion by adding an order–disorder quantifier called statistical complexity and studying how it is correlated with the degree of entanglement as measured by the concurrence quantifier. We perform such an analysis with reference to a representative system chosen from condensed matter theory, the so-called XY model. Some interesting insight is obtained as the concurrence and the complexity become correlated in an unexpected fashion.
Fil: Apel, V. M.. Universidad Católica del Norte; Chile
Fil: Mundarain, Douglas. Universidad Católica del Norte; Chile
Fil: Pennini, Flavia Catalina. Universidad Católica del Norte; Chile. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Confluencia; Argentina
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. 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 Many people believe that the study of complex quantum systems may be simplified by first analyzing the static and dynamic entanglement present in those systems [Phys. Rev. A 66 (2002) 032110]. In this paper, we attempt to complement such notion by adding an order–disorder quantifier called statistical complexity and studying how it is correlated with the degree of entanglement as measured by the concurrence quantifier. We perform such an analysis with reference to a representative system chosen from condensed matter theory, the so-called XY model. Some interesting insight is obtained as the concurrence and the complexity become correlated in an unexpected fashion.
publishDate 2020
dc.date.none.fl_str_mv 2020-05
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/11336/140231
Apel, V. M.; Mundarain, Douglas; Pennini, Flavia Catalina; Plastino, Ángel Luis; Correlations between Complexity and Entanglement in a One-Dimensional XY Model; MDPI AG; Quantum Reports; 2; 2; 5-2020; 305-313
2624-960X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/140231
identifier_str_mv Apel, V. M.; Mundarain, Douglas; Pennini, Flavia Catalina; Plastino, Ángel Luis; Correlations between Complexity and Entanglement in a One-Dimensional XY Model; MDPI AG; Quantum Reports; 2; 2; 5-2020; 305-313
2624-960X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2624-960X/2/2/20
info:eu-repo/semantics/altIdentifier/doi/10.3390/quantum2020020
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv MDPI AG
publisher.none.fl_str_mv MDPI AG
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 12.982451

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