INVESTIGADORES
MATERA Juan Mauricio
artículos
Título:
Entanglement and area laws in weakly correlated Gaussian states
Autor/es:
J. M. MATERA; R. ROSSIGNOLI; N. CANOSA
Revista:
PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS
Editorial:
AMER PHYSICAL SOC
Referencias:
Lugar: New York; Año: 2012 vol. 86 p. 62324 - 62324
ISSN:
1050-2947
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.