Evaluation of entanglement measures in spin systems with the random phase approximation

We discuss a general formalism based on the mean field plus random phase approximation (RPA) for the evaluation of entanglement measures in the ground state of spin systems. The method provides a tractable scheme for determining the entanglement entropy as well as the negativity of finite subsystems...

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Detalles Bibliográficos
Autores principales:	Canosa, Norma Beatriz, Matera, Juan Mauricio, Rossignoli, Raúl Dante
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2011
Materias:	Física quantum entanglement random phase approximation bosonization
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/145203
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-145203
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física quantum entanglement random phase approximation bosonization
spellingShingle	Física quantum entanglement random phase approximation bosonization Canosa, Norma Beatriz Matera, Juan Mauricio Rossignoli, Raúl Dante Evaluation of entanglement measures in spin systems with the random phase approximation
topic_facet	Física quantum entanglement random phase approximation bosonization
description	We discuss a general formalism based on the mean field plus random phase approximation (RPA) for the evaluation of entanglement measures in the ground state of spin systems. The method provides a tractable scheme for determining the entanglement entropy as well as the negativity of finite subsystems, which becomes analytic in the case of systems with translational invariance, in one or D dimensions. The approach improves as the spin increases, and also as the interaction range or connectivity increases. Illustrative results for different types of entanglement entropies (single site, block and comb) in the ground state of a small spin lattice with ferromagnetic type XY couplings in a transverse field are shown and compared with the exact numerical result. Effects arising from symmetry breaking at the mean field level are also discussed.
format	Articulo Articulo
author	Canosa, Norma Beatriz Matera, Juan Mauricio Rossignoli, Raúl Dante
author_facet	Canosa, Norma Beatriz Matera, Juan Mauricio Rossignoli, Raúl Dante
author_sort	Canosa, Norma Beatriz
title	Evaluation of entanglement measures in spin systems with the random phase approximation
title_short	Evaluation of entanglement measures in spin systems with the random phase approximation
title_full	Evaluation of entanglement measures in spin systems with the random phase approximation
title_fullStr	Evaluation of entanglement measures in spin systems with the random phase approximation
title_full_unstemmed	Evaluation of entanglement measures in spin systems with the random phase approximation
title_sort	evaluation of entanglement measures in spin systems with the random phase approximation
publishDate	2011
url	http://sedici.unlp.edu.ar/handle/10915/145203
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bdutipo_str	Repositorios
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Evaluation of entanglement measures in spin systems with the random phase approximation

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