912 research outputs found
Holographic entanglement entropy under the minimal geometric deformation and extensions
The holographic entanglement entropy (HEE) of the minimal geometrical
deformation (MGD) procedure and extensions (EMGD), is scrutinized within the
membrane paradigm of AdS/CFT. The HEE corrections of the Schwarzschild and
Reissner--Nordstr\"om solutions, due to a finite fluid brane tension, are then
derived and discussed in the context of the MGD and the EMGD.Comment: 31 pages and 23 figure
MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy
The holographic entanglement entropy (HEE) is investigated for a black hole
under the minimal geometric deformation (MGD) procedure, created by
gravitational decoupling via an anisotropic fluid, in an AdS/CFT on the brane
setup. The respective HEE corrections are computed and confronted to the
corresponding corrections for both the standard MGD black holes and the
Schwarzschild ones.Comment: 16 pages, 7 figure
Random-Matrix Ensembles for Semi-Separable Systems
Many models for chaotic systems consist of joining two integrable systems
with incompatible constants of motion. The quantum counterparts of such models
have a propagator which factorizes into two integrable parts. Each part can be
diagonalized. The two eigenvector bases are related by an orthogonal (or
unitary) transformation. We construct a random matrix ensemble that mimics this
situation and consists of a product of a diagonal, an orthogonal, another
diagonal and the transposed orthogonal matrix. The diagonal phases are chosen
at random and the orthogonal matrix from Haar's measure. We derive asymptotic
results (dimension N -> \infty) using Wick contractions. A new approximation
for the group integration yields the next order in 1/N. We obtain a finite
correction to the circular orthogonal ensemble, important in the long-range
part of spectral correlations.Comment: 7 pages with 2 eps-figures, revised version, in press at Europhysics
Letter
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