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dc.contributor.author
Bouvrie, P. A.
dc.contributor.author
Majtey, Ana Paula
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dc.contributor.author
Plastino, Ángel Ricardo
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dc.contributor.author
Sánchez Moreno, P.
dc.contributor.author
Dehesa, J. S.
dc.date.available
2023-03-07T12:13:56Z
dc.date.issued
2012-01
dc.identifier.citation
Bouvrie, P. A.; Majtey, Ana Paula; Plastino, Ángel Ricardo; Sánchez Moreno, P.; Dehesa, J. S.; Quantum entanglement in exactly soluble atomic models: The Moshinsky model with three electrons, and with two electrons in a uniform magnetic field; Springer; European Physical Journal D; 66; 1; 1-2012; 1-15
dc.identifier.issn
1434-6060
dc.identifier.uri
http://hdl.handle.net/11336/189788
dc.description.abstract
We investigate the entanglement-related features of the eigenstates of two exactly soluble atomic models: a one-dimensional three-electron Moshinsky model, and a three-dimensional two-electron Moshinsky system in an external uniform magnetic field. We analytically compute the amount of entanglement exhibited by the wavefunctions corresponding to the ground, first and second excited states of the three-electron model. We found that the amount of entanglement of the system tends to increase with energy, and in the case of excited states we found a finite amount of entanglement in the limit of vanishing interaction. We also analyze the entanglement properties of the ground and first few excited states of the two-electron Moshinsky model in the presence of a magnetic field. The dependence of the eigenstates' entanglement on the energy, as well as its behaviour in the regime of vanishing interaction, are similar to those observed in the three-electron system. On the other hand, the entanglement exhibits a monotonically decreasing behavior with the strength of the external magnetic field. For strong magnetic fields the entanglement approaches a finite asymptotic value that depends on the interaction strength. For both systems studied here we consider a perturbative approach in order to shed some light on the entanglement's dependence on energy and also to clarify the finite entanglement exhibited by excited states in the limit of weak interactions. As far as we know, this is the first work that provides analytical and exact results for the entanglement properties of a three-electron model.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
QUANTUM ENTANGLEMENT
dc.subject
ATOMIC MODELS
dc.subject.classification
Física Atómica, Molecular y Química
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Quantum entanglement in exactly soluble atomic models: The Moshinsky model with three electrons, and with two electrons in a uniform magnetic field
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-03-07T11:25:50Z
dc.journal.volume
66
dc.journal.number
1
dc.journal.pagination
1-15
dc.journal.pais
Alemania
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dc.journal.ciudad
Berlin
dc.description.fil
Fil: Bouvrie, P. A.. Universidad de Granada; España
dc.description.fil
Fil: Majtey, Ana Paula. Universidad de Granada; España. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Plastino, Ángel Ricardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata; Argentina
dc.description.fil
Fil: Sánchez Moreno, P.. Universidad de Granada; España
dc.description.fil
Fil: Dehesa, J. S.. Universidad de Granada; España
dc.journal.title
European Physical Journal D
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1140/epjd/e2011-20417-4
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