Quantum entanglement in (d-1)-spherium

Autores
Toranzo, I. V.; Plastino, Angel Ricardo; Sánchez Moreno, P; Dehesa, J. S.
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
There are very few systems of interacting particles (with continuous variables) for which the entanglement of the concomitant eigenfunctions can be computed in an exact, analytical way. Here we present analytical calculations of the amount of entanglement exhibited by s-states of spherium. This is a system of two particles (electrons) interacting via a Coulomb potential and confined to a (d-1)-sphere (that is, to the surface of a d-dimensional ball). We investigate the dependence of entanglement on the radius R of the system, on the spatial dimensionality d, and on energy. We find that entanglement increases monotonically with R, decreases with d, and also tends to increase with the energy of the eigenstates. These trends are discussed and compared with those observed in other two-electron atomic-like models where entanglement has been investigated.
Fil: Toranzo, I. V.. Universidad de Granada; España
Fil: Plastino, Angel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigaciones y Transferencia del Noroeste de la Provincia de Buenos Aires. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Investigaciones y Transferencia del Noroeste de la Provincia de Buenos Aires; Argentina
Fil: Sánchez Moreno, P. Universidad de Granada; España
Fil: Dehesa, J. S.. Universidad de Granada; España
Materia
Quantum Entanglement
Quasisoluble Models
Spherium
Two-Electron Models
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:11336/18048
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Quantum entanglement in (d-1)-spheriumToranzo, I. V.Plastino, Angel RicardoSánchez Moreno, PDehesa, J. S.Quantum EntanglementQuasisoluble ModelsSpheriumTwo-Electron Modelshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1There are very few systems of interacting particles (with continuous variables) for which the entanglement of the concomitant eigenfunctions can be computed in an exact, analytical way. Here we present analytical calculations of the amount of entanglement exhibited by s-states of spherium. This is a system of two particles (electrons) interacting via a Coulomb potential and confined to a (d-1)-sphere (that is, to the surface of a d-dimensional ball). We investigate the dependence of entanglement on the radius R of the system, on the spatial dimensionality d, and on energy. We find that entanglement increases monotonically with R, decreases with d, and also tends to increase with the energy of the eigenstates. These trends are discussed and compared with those observed in other two-electron atomic-like models where entanglement has been investigated.Fil: Toranzo, I. V.. Universidad de Granada; EspañaFil: Plastino, Angel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigaciones y Transferencia del Noroeste de la Provincia de Buenos Aires. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Investigaciones y Transferencia del Noroeste de la Provincia de Buenos Aires; ArgentinaFil: Sánchez Moreno, P. Universidad de Granada; EspañaFil: Dehesa, J. S.. Universidad de Granada; EspañaIop Publishing2015-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/18048Toranzo, I. V.; Plastino, Angel Ricardo; Sánchez Moreno, P; Dehesa, J. S.; Quantum entanglement in (d-1)-spherium; Iop Publishing; Journal of Physics A: Mathematical And Theoretical; 48; 47; 10-20151751-8113enginfo:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1088/1751-8113/48/47/475302info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1751-8113/48/47/475302/metainfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:53:21Zoai:ri.conicet.gov.ar:11336/18048instacron: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:34982025-10-15 14:53:21.658CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quantum entanglement in (d-1)-spherium
title Quantum entanglement in (d-1)-spherium
spellingShingle Quantum entanglement in (d-1)-spherium
Toranzo, I. V.
Quantum Entanglement
Quasisoluble Models
Spherium
Two-Electron Models
title_short Quantum entanglement in (d-1)-spherium
title_full Quantum entanglement in (d-1)-spherium
title_fullStr Quantum entanglement in (d-1)-spherium
title_full_unstemmed Quantum entanglement in (d-1)-spherium
title_sort Quantum entanglement in (d-1)-spherium
dc.creator.none.fl_str_mv Toranzo, I. V.
Plastino, Angel Ricardo
Sánchez Moreno, P
Dehesa, J. S.
author Toranzo, I. V.
author_facet Toranzo, I. V.
Plastino, Angel Ricardo
Sánchez Moreno, P
Dehesa, J. S.
author_role author
author2 Plastino, Angel Ricardo
Sánchez Moreno, P
Dehesa, J. S.
author2_role author
author
author
dc.subject.none.fl_str_mv Quantum Entanglement
Quasisoluble Models
Spherium
Two-Electron Models
topic Quantum Entanglement
Quasisoluble Models
Spherium
Two-Electron Models
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv There are very few systems of interacting particles (with continuous variables) for which the entanglement of the concomitant eigenfunctions can be computed in an exact, analytical way. Here we present analytical calculations of the amount of entanglement exhibited by s-states of spherium. This is a system of two particles (electrons) interacting via a Coulomb potential and confined to a (d-1)-sphere (that is, to the surface of a d-dimensional ball). We investigate the dependence of entanglement on the radius R of the system, on the spatial dimensionality d, and on energy. We find that entanglement increases monotonically with R, decreases with d, and also tends to increase with the energy of the eigenstates. These trends are discussed and compared with those observed in other two-electron atomic-like models where entanglement has been investigated.
Fil: Toranzo, I. V.. Universidad de Granada; España
Fil: Plastino, Angel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigaciones y Transferencia del Noroeste de la Provincia de Buenos Aires. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Investigaciones y Transferencia del Noroeste de la Provincia de Buenos Aires; Argentina
Fil: Sánchez Moreno, P. Universidad de Granada; España
Fil: Dehesa, J. S.. Universidad de Granada; España
description There are very few systems of interacting particles (with continuous variables) for which the entanglement of the concomitant eigenfunctions can be computed in an exact, analytical way. Here we present analytical calculations of the amount of entanglement exhibited by s-states of spherium. This is a system of two particles (electrons) interacting via a Coulomb potential and confined to a (d-1)-sphere (that is, to the surface of a d-dimensional ball). We investigate the dependence of entanglement on the radius R of the system, on the spatial dimensionality d, and on energy. We find that entanglement increases monotonically with R, decreases with d, and also tends to increase with the energy of the eigenstates. These trends are discussed and compared with those observed in other two-electron atomic-like models where entanglement has been investigated.
publishDate 2015
dc.date.none.fl_str_mv 2015-10
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/11336/18048
Toranzo, I. V.; Plastino, Angel Ricardo; Sánchez Moreno, P; Dehesa, J. S.; Quantum entanglement in (d-1)-spherium; Iop Publishing; Journal of Physics A: Mathematical And Theoretical; 48; 47; 10-2015
1751-8113
url http://hdl.handle.net/11336/18048
identifier_str_mv Toranzo, I. V.; Plastino, Angel Ricardo; Sánchez Moreno, P; Dehesa, J. S.; Quantum entanglement in (d-1)-spherium; Iop Publishing; Journal of Physics A: Mathematical And Theoretical; 48; 47; 10-2015
1751-8113
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://dx.doi.org/10.1088/1751-8113/48/47/475302
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1751-8113/48/47/475302/meta
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
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score 12.891075

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