Quantum entanglement in exactly soluble atomic models: the Moshinsky model with three electrons, and with two electrons in a uniform magnetic field

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...

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Detalles Bibliográficos
Autores principales:	Bouvrie, P. A., Majtey, Ana P., Plastino, Ángel Ricardo, Sánchez Moreno, Pablo, Dehesa, Jesús S.
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2012
Materias:	Ciencias Exactas Quantum Information Moshinsky model Moshinsky system entanglement
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/123671
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-123671
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Ciencias Exactas Quantum Information Moshinsky model Moshinsky system entanglement
spellingShingle	Ciencias Exactas Quantum Information Moshinsky model Moshinsky system entanglement Bouvrie, P. A. Majtey, Ana P. Plastino, Ángel Ricardo Sánchez Moreno, Pablo Dehesa, Jesús S. Quantum entanglement in exactly soluble atomic models: the Moshinsky model with three electrons, and with two electrons in a uniform magnetic field
topic_facet	Ciencias Exactas Quantum Information Moshinsky model Moshinsky system entanglement
description	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.
format	Articulo Articulo
author	Bouvrie, P. A. Majtey, Ana P. Plastino, Ángel Ricardo Sánchez Moreno, Pablo Dehesa, Jesús S.
author_facet	Bouvrie, P. A. Majtey, Ana P. Plastino, Ángel Ricardo Sánchez Moreno, Pablo Dehesa, Jesús S.
author_sort	Bouvrie, P. A.
title	Quantum entanglement in exactly soluble atomic models: the Moshinsky model with three electrons, and with two electrons in a uniform magnetic field
title_short	Quantum entanglement in exactly soluble atomic models: the Moshinsky model with three electrons, and with two electrons in a uniform magnetic field
title_full	Quantum entanglement in exactly soluble atomic models: the Moshinsky model with three electrons, and with two electrons in a uniform magnetic field
title_fullStr	Quantum entanglement in exactly soluble atomic models: the Moshinsky model with three electrons, and with two electrons in a uniform magnetic field
title_full_unstemmed	Quantum entanglement in exactly soluble atomic models: the Moshinsky model with three electrons, and with two electrons in a uniform magnetic field
title_sort	quantum entanglement in exactly soluble atomic models: the moshinsky model with three electrons, and with two electrons in a uniform magnetic field
publishDate	2012
url	http://sedici.unlp.edu.ar/handle/10915/123671
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Quantum entanglement in exactly soluble atomic models: the Moshinsky model with three electrons, and with two electrons in a uniform magnetic field

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