Discord and information deficit in the XX chain

We examine the quantum correlations of spin pairs in the cyclic XX spin 1/2 chain in a trans- verse field, through the analysis of the quantum discord, the geometric discord and the information deficit. It is shown that while these quantities provide the same qualitative information, being non- zero...

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Detalles Bibliográficos
Autores principales: Ciliberti, Leonardo Francisco, Canosa, Norma Beatriz, Rossignoli, Raúl Dante
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Ciencias Exactas
Física
quantum correlations
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/77395
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-77395
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
Física
quantum correlations
spellingShingle Ciencias Exactas
Física
quantum correlations
Ciliberti, Leonardo Francisco
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Discord and information deficit in the XX chain
topic_facet Ciencias Exactas
Física
quantum correlations
description We examine the quantum correlations of spin pairs in the cyclic XX spin 1/2 chain in a trans- verse field, through the analysis of the quantum discord, the geometric discord and the information deficit. It is shown that while these quantities provide the same qualitative information, being non- zero for all temperatures and separations and exhibiting the same type of asymptotic behavior for large temperatures or separations, important differences arise in the minimizing local measurement that defines them. Whereas the quantum discord prefers a spin measurement perpendicular to the transverse field, the geometric discord and information deficit exhibit a perpendicular to parallel transition as the field increases, which subsists at all temperatures and for all separations. More- over, it is shown that such transition signals the change from a Bell state to an aligned separable state of the dominant eigenstate of the reduced density matrix of the pair. Full exact results for both the thermodynamic limit and the finite chain are provided, through the Jordan-Wigner fermionization.
format Articulo
Articulo
author Ciliberti, Leonardo Francisco
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
author_facet Ciliberti, Leonardo Francisco
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
author_sort Ciliberti, Leonardo Francisco
title Discord and information deficit in the XX chain
title_short Discord and information deficit in the XX chain
title_full Discord and information deficit in the XX chain
title_fullStr Discord and information deficit in the XX chain
title_full_unstemmed Discord and information deficit in the XX chain
title_sort discord and information deficit in the xx chain
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/77395
work_keys_str_mv AT cilibertileonardofrancisco discordandinformationdeficitinthexxchain
AT canosanormabeatriz discordandinformationdeficitinthexxchain
AT rossignolirauldante discordandinformationdeficitinthexxchain
bdutipo_str Repositorios
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