Generalized mean-field description of entanglement in dimerized spin systems

We discuss a generalized self-consistent mean-field (MF) treatment, based on the selection of an arbitrary subset of operators for representing the system density matrix, and its application to the problem of entanglement evaluation in composite quantum systems. As a specific example, we examine in...

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Detalles Bibliográficos
Autores principales: Boette, Alan Pablo, Rossignoli, Raúl Dante, Canosa, Norma Beatriz, Matera, Juan Mauricio
Formato: Articulo
Lenguaje:Español
Publicado: 2015
Materias:
Física
mean-field description
entanglement
dimerized spin systems
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/74929
https://journals.aps.org/prb/pdf/10.1103/PhysRevB.91.064428
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-74929
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Física
mean-field description
entanglement
dimerized spin systems
spellingShingle Física
mean-field description
entanglement
dimerized spin systems
Boette, Alan Pablo
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Matera, Juan Mauricio
Generalized mean-field description of entanglement in dimerized spin systems
topic_facet Física
mean-field description
entanglement
dimerized spin systems
description We discuss a generalized self-consistent mean-field (MF) treatment, based on the selection of an arbitrary subset of operators for representing the system density matrix, and its application to the problem of entanglement evaluation in composite quantum systems. As a specific example, we examine in detail a pair MF approach to the ground state (GS) of dimerized spin-1/2 systems with anisotropic ferromagnetic-type XY and XYZ couplings in a transverse field, including chains and arrays with first neighbor and also longer range couplings. The approach is fully analytic and able to capture the main features of the GS of these systems, in contrast with the conventional single-spin MF. Its phase diagram differs significantly from that of the latter, exhibiting (Sz) parity breaking just in a finite field window if the coupling between pairs is sufficiently weak, together with a fully dimerized phase below this window and a partially aligned phase above it. It is then shown that through symmetry restoration. the approach is able to correctly predict not only the concurrence of a pair, but also its entanglement with the rest of the chain, which shows a pronounced peak in the parity breaking window. Perturbative corrections allow to reproduce more subtle observables like the entanglement between weakly coupled spins and the low lying energy spectrum. All predictions are tested against exact results for finite systems.
format Articulo
Articulo
author Boette, Alan Pablo
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Matera, Juan Mauricio
author_facet Boette, Alan Pablo
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Matera, Juan Mauricio
author_sort Boette, Alan Pablo
title Generalized mean-field description of entanglement in dimerized spin systems
title_short Generalized mean-field description of entanglement in dimerized spin systems
title_full Generalized mean-field description of entanglement in dimerized spin systems
title_fullStr Generalized mean-field description of entanglement in dimerized spin systems
title_full_unstemmed Generalized mean-field description of entanglement in dimerized spin systems
title_sort generalized mean-field description of entanglement in dimerized spin systems
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/74929
https://journals.aps.org/prb/pdf/10.1103/PhysRevB.91.064428
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AT canosanormabeatriz generalizedmeanfielddescriptionofentanglementindimerizedspinsystems
AT materajuanmauricio generalizedmeanfielddescriptionofentanglementindimerizedspinsystems
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