Entanglement and area laws in weakly correlated gaussian states

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We examine the evaluation of entanglement measures in weakly correlated gaussian states. It is shown that they can be expressed in terms of the singular values of a particular block of the generalized contraction matrix. This result enables to obtain in a simple way asymptotic expressions and relate...

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Detalles Bibliográficos
Autores principales: Matera, Juan Mauricio, Rossignoli, Raúl Dante, Canosa, Norma Beatriz
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Ciencias Exactas
Física
entanglement
gaussian states
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/77397
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-77397
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
entanglement
gaussian states
spellingShingle Ciencias Exactas
Física
entanglement
gaussian states
Matera, Juan Mauricio
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Entanglement and area laws in weakly correlated gaussian states
topic_facet Ciencias Exactas
Física
entanglement
gaussian states
description We examine the evaluation of entanglement measures in weakly correlated gaussian states. It is shown that they can be expressed in terms of the singular values of a particular block of the generalized contraction matrix. This result enables to obtain in a simple way asymptotic expressions and related area laws for the entanglement entropy of bipartitions in pure states, as well as for the logarithmic negativity associated with bipartitions and also pairs of arbitrary subsystems. As illustration, we consider different types of contiguous and noncontiguous blocks in two dimensional lattices. Exact asymptotic expressions are provided for both first neighbor and full range couplings, which lead in the first case to area laws depending on the orientation and separation of the blocks.
format Articulo
Articulo
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 Entanglement and area laws in weakly correlated gaussian states
title_short Entanglement and area laws in weakly correlated gaussian states
title_full Entanglement and area laws in weakly correlated gaussian states
title_fullStr Entanglement and area laws in weakly correlated gaussian states
title_full_unstemmed Entanglement and area laws in weakly correlated gaussian states
title_sort entanglement and area laws in weakly correlated gaussian states
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/77397
work_keys_str_mv AT materajuanmauricio entanglementandarealawsinweaklycorrelatedgaussianstates
AT rossignolirauldante entanglementandarealawsinweaklycorrelatedgaussianstates
AT canosanormabeatriz entanglementandarealawsinweaklycorrelatedgaussianstates
bdutipo_str Repositorios
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