Evaluation of ground state entanglement in spin systems with the random phase approximation

We discuss a general treatment based on the mean field plus random phase approximation (RPA) for the evaluation of subsystem entropies and negativities in ground states of spin systems. The approach leads to a tractable general method, becoming straightforward in translationally invariant arrays. Th...

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Autores principales: Matera, Juan Mauricio, Rossignoli, Raúl Dante, Canosa, Norma Beatriz
Formato: Articulo Preprint
Lenguaje:Español
Publicado: 2010
Materias:
Física
Entanglement measures
Entanglement and quantum nonlocality
Quantized spin models
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/154212
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-154212
record_format dspace
spelling I19-R120-10915-1542122023-06-12T20:07:12Z http://sedici.unlp.edu.ar/handle/10915/154212 issn:1050-2947 issn:1094-1622 Evaluation of ground state entanglement in spin systems with the random phase approximation Matera, Juan Mauricio Rossignoli, Raúl Dante Canosa, Norma Beatriz 2010 2023-06-12T14:35:36Z es Física Entanglement measures Entanglement and quantum nonlocality Quantized spin models We discuss a general treatment based on the mean field plus random phase approximation (RPA) for the evaluation of subsystem entropies and negativities in ground states of spin systems. The approach leads to a tractable general method, becoming straightforward in translationally invariant arrays. The method is examined in arrays of arbitrary spin with XY Z couplings of general range in a uniform transverse field, where the RPA around both the normal and parity breaking mean field state, together with parity restoration effects, are discussed in detail. In the case of a uniformly connected XY Z array of arbitrary size, the method is shown to provide simple analytic expressions for the entanglement entropy of any global bipartition, as well as for the negativity between any two subsystems, which become exact for large spin. The limit case of a spin s pair is also discussed. Quantum Information Research Group Instituto de Física La Plata Articulo Preprint http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Física
Entanglement measures
Entanglement and quantum nonlocality
Quantized spin models
spellingShingle Física
Entanglement measures
Entanglement and quantum nonlocality
Quantized spin models
Matera, Juan Mauricio
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Evaluation of ground state entanglement in spin systems with the random phase approximation
topic_facet Física
Entanglement measures
Entanglement and quantum nonlocality
Quantized spin models
description We discuss a general treatment based on the mean field plus random phase approximation (RPA) for the evaluation of subsystem entropies and negativities in ground states of spin systems. The approach leads to a tractable general method, becoming straightforward in translationally invariant arrays. The method is examined in arrays of arbitrary spin with XY Z couplings of general range in a uniform transverse field, where the RPA around both the normal and parity breaking mean field state, together with parity restoration effects, are discussed in detail. In the case of a uniformly connected XY Z array of arbitrary size, the method is shown to provide simple analytic expressions for the entanglement entropy of any global bipartition, as well as for the negativity between any two subsystems, which become exact for large spin. The limit case of a spin s pair is also discussed.
format Articulo
Preprint
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 ground state entanglement in spin systems with the random phase approximation
title_short Evaluation of ground state entanglement in spin systems with the random phase approximation
title_full Evaluation of ground state entanglement in spin systems with the random phase approximation
title_fullStr Evaluation of ground state entanglement in spin systems with the random phase approximation
title_full_unstemmed Evaluation of ground state entanglement in spin systems with the random phase approximation
title_sort evaluation of ground state entanglement in spin systems with the random phase approximation
publishDate 2010
url http://sedici.unlp.edu.ar/handle/10915/154212
work_keys_str_mv AT materajuanmauricio evaluationofgroundstateentanglementinspinsystemswiththerandomphaseapproximation
AT rossignolirauldante evaluationofgroundstateentanglementinspinsystemswiththerandomphaseapproximation
AT canosanormabeatriz evaluationofgroundstateentanglementinspinsystemswiththerandomphaseapproximation
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