Quantum entanglement in two-electron atomic models

Autores
Manzano, D.; Plastino, Ángel Ricardo; Dehesa, J. S.; Koga, T.
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We explore the main entanglement properties exhibited by the eigenfunctions of two exactly soluble two-electron models, the Crandall atom and the Hooke atom, and compare them with theentanglement features of helium-like systems. We compute the amount of entanglement associated with the wavefunctions corresponding to the fundamental and first few excited states of these models. We investigate the dependence of the entanglement on the parameters of the models and on the quantum numbers of the eigenstates. It is found that the amount of entanglement of the system tends to increase with energy in both models. In addition, we study the entanglement of a few states of helium-like systems, which we compute using high-quality Kinoshita- like eigenfunctions. The dependence of the entanglement of helium-like atoms on the nuclear charge and on energy is found to be consistent with the trends observed in the previous two model systems.
Fil: Manzano, D.. Universidad de Granada; España
Fil: Plastino, Ángel Ricardo. Universidad de Granada; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Dehesa, J. S.. Universidad de Granada; España
Fil: Koga, T.. No especifíca;
Materia
TWO-ELECTRON MODELS
QUANTUM MECHANICS
ENTANGLEMENT MEASURES
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:11336/242419

id CONICETDig_14dcde561d3f4a0e5b94139a7109e0fb
oai_identifier_str oai:ri.conicet.gov.ar:11336/242419
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Quantum entanglement in two-electron atomic modelsManzano, D.Plastino, Ángel RicardoDehesa, J. S.Koga, T.TWO-ELECTRON MODELSQUANTUM MECHANICSENTANGLEMENT MEASUREShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We explore the main entanglement properties exhibited by the eigenfunctions of two exactly soluble two-electron models, the Crandall atom and the Hooke atom, and compare them with theentanglement features of helium-like systems. We compute the amount of entanglement associated with the wavefunctions corresponding to the fundamental and first few excited states of these models. We investigate the dependence of the entanglement on the parameters of the models and on the quantum numbers of the eigenstates. It is found that the amount of entanglement of the system tends to increase with energy in both models. In addition, we study the entanglement of a few states of helium-like systems, which we compute using high-quality Kinoshita- like eigenfunctions. The dependence of the entanglement of helium-like atoms on the nuclear charge and on energy is found to be consistent with the trends observed in the previous two model systems.Fil: Manzano, D.. Universidad de Granada; EspañaFil: Plastino, Ángel Ricardo. Universidad de Granada; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: Dehesa, J. S.. Universidad de Granada; EspañaFil: Koga, T.. No especifíca;IOP Publishing2010-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/242419Manzano, D.; Plastino, Ángel Ricardo; Dehesa, J. S.; Koga, T.; Quantum entanglement in two-electron atomic models; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 7-2010; 275301-275301141751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/1751-8113/43/27/275301info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/43/27/275301info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:14:13Zoai:ri.conicet.gov.ar:11336/242419instacron: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:34982025-09-10 13:14:13.647CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quantum entanglement in two-electron atomic models
title Quantum entanglement in two-electron atomic models
spellingShingle Quantum entanglement in two-electron atomic models
Manzano, D.
TWO-ELECTRON MODELS
QUANTUM MECHANICS
ENTANGLEMENT MEASURES
title_short Quantum entanglement in two-electron atomic models
title_full Quantum entanglement in two-electron atomic models
title_fullStr Quantum entanglement in two-electron atomic models
title_full_unstemmed Quantum entanglement in two-electron atomic models
title_sort Quantum entanglement in two-electron atomic models
dc.creator.none.fl_str_mv Manzano, D.
Plastino, Ángel Ricardo
Dehesa, J. S.
Koga, T.
author Manzano, D.
author_facet Manzano, D.
Plastino, Ángel Ricardo
Dehesa, J. S.
Koga, T.
author_role author
author2 Plastino, Ángel Ricardo
Dehesa, J. S.
Koga, T.
author2_role author
author
author
dc.subject.none.fl_str_mv TWO-ELECTRON MODELS
QUANTUM MECHANICS
ENTANGLEMENT MEASURES
topic TWO-ELECTRON MODELS
QUANTUM MECHANICS
ENTANGLEMENT MEASURES
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 explore the main entanglement properties exhibited by the eigenfunctions of two exactly soluble two-electron models, the Crandall atom and the Hooke atom, and compare them with theentanglement features of helium-like systems. We compute the amount of entanglement associated with the wavefunctions corresponding to the fundamental and first few excited states of these models. We investigate the dependence of the entanglement on the parameters of the models and on the quantum numbers of the eigenstates. It is found that the amount of entanglement of the system tends to increase with energy in both models. In addition, we study the entanglement of a few states of helium-like systems, which we compute using high-quality Kinoshita- like eigenfunctions. The dependence of the entanglement of helium-like atoms on the nuclear charge and on energy is found to be consistent with the trends observed in the previous two model systems.
Fil: Manzano, D.. Universidad de Granada; España
Fil: Plastino, Ángel Ricardo. Universidad de Granada; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Dehesa, J. S.. Universidad de Granada; España
Fil: Koga, T.. No especifíca;
description We explore the main entanglement properties exhibited by the eigenfunctions of two exactly soluble two-electron models, the Crandall atom and the Hooke atom, and compare them with theentanglement features of helium-like systems. We compute the amount of entanglement associated with the wavefunctions corresponding to the fundamental and first few excited states of these models. We investigate the dependence of the entanglement on the parameters of the models and on the quantum numbers of the eigenstates. It is found that the amount of entanglement of the system tends to increase with energy in both models. In addition, we study the entanglement of a few states of helium-like systems, which we compute using high-quality Kinoshita- like eigenfunctions. The dependence of the entanglement of helium-like atoms on the nuclear charge and on energy is found to be consistent with the trends observed in the previous two model systems.
publishDate 2010
dc.date.none.fl_str_mv 2010-07
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/11336/242419
Manzano, D.; Plastino, Ángel Ricardo; Dehesa, J. S.; Koga, T.; Quantum entanglement in two-electron atomic models; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 7-2010; 275301-27530114
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/242419
identifier_str_mv Manzano, D.; Plastino, Ángel Ricardo; Dehesa, J. S.; Koga, T.; Quantum entanglement in two-electron atomic models; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 43; 7-2010; 275301-27530114
1751-8113
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://iopscience.iop.org/article/10.1088/1751-8113/43/27/275301
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/43/27/275301
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
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
_version_ 1842980758240624640
score 12.993085