Description of thermal entanglement with the static path plus random-phase approximation

We discuss the application of the static path plus random-phase approximation sSPA+RPAd and the ensuing mean field+RPA treatment to the evaluation of entanglement in composite quantum systems at finite temperature. These methods involve just local diagonalizations and the determination of the genera...

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Autores principales: Canosa, Norma Beatriz, Matera, Juan Mauricio, Rossignoli, Raúl Dante
Formato: Articulo
Lenguaje:Inglés
Publicado: 2007
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126308
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id I19-R120-10915-126308
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
static path
random-phase approximation
quantum systems
spellingShingle Ciencias Exactas
Física
static path
random-phase approximation
quantum systems
Canosa, Norma Beatriz
Matera, Juan Mauricio
Rossignoli, Raúl Dante
Description of thermal entanglement with the static path plus random-phase approximation
topic_facet Ciencias Exactas
Física
static path
random-phase approximation
quantum systems
description We discuss the application of the static path plus random-phase approximation sSPA+RPAd and the ensuing mean field+RPA treatment to the evaluation of entanglement in composite quantum systems at finite temperature. These methods involve just local diagonalizations and the determination of the generalized collective vibrational frequencies. As an illustration, we evaluate the pairwise entanglement in a fully connected XXZ chain of n spins at finite temperature in a transverse magnetic field b. It is shown that already the mean field+RPA provides an accurate analytic description of the concurrence below the mean field critical region (|b| < b<sub>c</sub>), exact for large n, whereas the full SPA+RPA is able to improve results for finite systems in the critical region. It is proven as well, that for T > 0 weak entanglement also arises when the ground state is separable (|b| > b<sub>c</sub>), with the limit temperature for pairwise entanglement exhibiting quite distinct regimes for (|b| < b<sub>c</sub>) and (|b| > b<sub>c</sub>).
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 Description of thermal entanglement with the static path plus random-phase approximation
title_short Description of thermal entanglement with the static path plus random-phase approximation
title_full Description of thermal entanglement with the static path plus random-phase approximation
title_fullStr Description of thermal entanglement with the static path plus random-phase approximation
title_full_unstemmed Description of thermal entanglement with the static path plus random-phase approximation
title_sort description of thermal entanglement with the static path plus random-phase approximation
publishDate 2007
url http://sedici.unlp.edu.ar/handle/10915/126308
work_keys_str_mv AT canosanormabeatriz descriptionofthermalentanglementwiththestaticpathplusrandomphaseapproximation
AT materajuanmauricio descriptionofthermalentanglementwiththestaticpathplusrandomphaseapproximation
AT rossignolirauldante descriptionofthermalentanglementwiththestaticpathplusrandomphaseapproximation
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