Evaluation of pairwise entanglement in translationally invariant systems with the random phase approximation

We discuss a general mean field plus random phase approximation (RPA) for describing composite systems at zero and finite temperature. We analyze in particular its implementation in finite systems invariant under translations, where for uniform mean fields it requires just the solution of simple loc...

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Detalles Bibliográficos
Autores principales:	Matera, Juan Mauricio, Rossignoli, Raúl Dante, Canosa, Norma Beatriz
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2008
Materias:	Física Coupling Quantum entanglement Physics Random phase approximation Mean field theory Concurrence Spins Invariant (mathematics) Quantum mechanics Anisotropy
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/126047
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-126047
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Coupling Quantum entanglement Physics Random phase approximation Mean field theory Concurrence Spins Invariant (mathematics) Quantum mechanics Anisotropy
spellingShingle	Física Coupling Quantum entanglement Physics Random phase approximation Mean field theory Concurrence Spins Invariant (mathematics) Quantum mechanics Anisotropy Matera, Juan Mauricio Rossignoli, Raúl Dante Canosa, Norma Beatriz Evaluation of pairwise entanglement in translationally invariant systems with the random phase approximation
topic_facet	Física Coupling Quantum entanglement Physics Random phase approximation Mean field theory Concurrence Spins Invariant (mathematics) Quantum mechanics Anisotropy
description	We discuss a general mean field plus random phase approximation (RPA) for describing composite systems at zero and finite temperature. We analyze in particular its implementation in finite systems invariant under translations, where for uniform mean fields it requires just the solution of simple local-type RPA equations. As test and application, we use the method for evaluating the entanglement between two spins in cyclic Evaluation of pairwise entanglement in translationally invariant systems with the random phase approximation chains with both long- and short-range anisotropic XY-type couplings in a uniform transverse magnetic field. The approach is shown to provide an accurate analytic description of the concurrence for strong fields, for any coupling range, pair separation, or chain size, where it predicts an entanglement range which can be at most twice that of the interaction. It also correctly predicts the existence of a separability field together with full entanglement range in its vicinity. The general accuracy of the approach improves as the range of the interaction increases.
format	Articulo Articulo
author	Matera, Juan Mauricio Rossignoli, Raúl Dante Canosa, Norma Beatriz
author_facet	Matera, Juan Mauricio Rossignoli, Raúl Dante Canosa, Norma Beatriz
author_sort	Matera, Juan Mauricio
title	Evaluation of pairwise entanglement in translationally invariant systems with the random phase approximation
title_short	Evaluation of pairwise entanglement in translationally invariant systems with the random phase approximation
title_full	Evaluation of pairwise entanglement in translationally invariant systems with the random phase approximation
title_fullStr	Evaluation of pairwise entanglement in translationally invariant systems with the random phase approximation
title_full_unstemmed	Evaluation of pairwise entanglement in translationally invariant systems with the random phase approximation
title_sort	evaluation of pairwise entanglement in translationally invariant systems with the random phase approximation
publishDate	2008
url	http://sedici.unlp.edu.ar/handle/10915/126047
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bdutipo_str	Repositorios
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Evaluation of pairwise entanglement in translationally invariant systems with the random phase approximation

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