Artículo
Entanglement and area laws in weakly correlated Gaussian states
Fecha de publicación:
12/2012
Editorial:
American Physical Society
Revista:
Physical Review A: Atomic, Molecular and Optical Physics
ISSN:
1050-2947
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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 us 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 with 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. © 2012 American Physical Society.
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Mecánica Cuántica
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Articulos(IFLP)
Articulos de INST.DE FISICA LA PLATA
Articulos de INST.DE FISICA LA PLATA
Citación
Matera, Juan Mauricio; Rossignoli, Raúl Dante; Canosa, Norma Beatriz; Entanglement and area laws in weakly correlated Gaussian states; American Physical Society; Physical Review A: Atomic, Molecular and Optical Physics; 86; 6; 12-2012; 623241-6232410
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