15 research outputs found
Power-law corrections to black-hole entropy via entanglement
We consider the entanglement between quantum field degrees of freedom inside
and outside the horizon as a plausible source of black-hole entropy. We examine
possible deviations of black hole entropy from area proportionality. We show
that while the area law holds when the field is in its ground state, a
correction term proportional to a fractional power of area results when the
field is in a superposition of ground and excited states. We compare our
results with the other approaches in the literature.Comment: 10 pages, 5 figures, to appear in the Proceedings of "BH2, Dynamics
and Thermodynamics of Blackholes and Naked Singularities", May 10-12 2007,
Milano, Italy; conference website: http://www.mate.polimi.it/bh2
Where are the black hole entropy degrees of freedom ?
Understanding the area-proportionality of black hole entropy (the `Area Law')
from an underlying fundamental theory has been one of the goals of all models
of quantum gravity. A key question that one asks is: where are the degrees of
freedom giving rise to black hole entropy located? Taking the point of view
that entanglement between field degrees of freedom inside and outside the
horizon can be a source of this entropy, we show that when the field is in its
ground state, the degrees of freedom near the horizon contribute most to the
entropy, and the area law is obeyed. However, when it is in an excited state,
degrees of freedom far from the horizon contribute more significantly, and
deviations from the area law are observed. In other words, we demonstrate that
horizon degrees of freedom are responsible for the area law.Comment: 5 pages, 3 eps figures, uses Revtex4, References added, Minor changes
to match published versio
Where are the degrees of freedom responsible for black hole entropy?
Considering the entanglement between quantum field degrees of freedom inside
and outside the horizon as a plausible source of black hole entropy, we address
the question: {\it where are the degrees of freedom that give rise to this
entropy located?} When the field is in ground state, the black hole area law is
obeyed and the degrees of freedom near the horizon contribute most to the
entropy. However, for excited state, or a superposition of ground state and
excited state, power-law corrections to the area law are obtained, and more
significant contributions from the degrees of freedom far from the horizon are
shown.Comment: 6 pages, 4 figures, Invited talk at Theory Canada III, Edmonton,
Alberta, Canada, June 16, 200
Where are the degrees of freedom responsible for black hole entropy?
Sherpa Romeo green journal. Permission to archive author manuscript.Considering the entanglement between quantum field degrees of freedom inside and outside the horizon
as a plausible source of black hole entropy, we address the question: where are the degrees of freedom that
give rise to this entropy located? When the field is in ground state, the black hole area law is obeyed and
the degrees of freedom near the horizon contribute most to the entropy. However, for excited state, or a
superposition of ground state and excited state, power-law corrections to the area law are obtained, and
more significant contributions from the degrees of freedom far from the horizon are shown.N
Power-law corrections to entanglement entropy of horizons
Sherpa Romeo green journal. Permission to archive final published version.We re-examine the idea that the origin of black-hole entropy may lie in the entanglement of
quantum fields between inside and outside of the horizon. Motivated by the observation that certain
modes of gravitational fluctuations in a black-hole background behave as scalar fields, we compute
the entanglement entropy of such a field, by tracing over its degrees of freedom inside a sphere. We
show that while this entropy is proportional to the area of the sphere when the field is in its ground
state, a correction term proportional to a fractional power of area results when the field is in a
superposition of ground and excited states. The area law is thus recovered for large areas. Further,
we identify location of the degrees of freedom that give rise to the above entropy.Ye
Power-law corrections to entanglement entropy of horizons
We re-examine the idea that the origin of black-hole entropy may lie in the
entanglement of quantum fields between inside and outside of the horizon.
Motivated by the observation that certain modes of gravitational fluctuations
in a black-hole background behave as scalar fields, we compute the entanglement
entropy of such a field, by tracing over its degrees of freedom inside a
sphere. We show that while this entropy is proportional to the area of the
sphere when the field is in its ground state, a correction term proportional to
a fractional power of area results when the field is in a superposition of
ground and excited states. The area law is thus recovered for large areas.
Further, we identify location of the degrees of freedom that give rise to the
above entropy.Comment: 16 pages, 6 figures, to appear in Phys. Rev.
Entanglement Entropy from a Holographic Viewpoint
The entanglement entropy has been historically studied by many authors in
order to obtain quantum mechanical interpretations of the gravitational
entropy. The discovery of AdS/CFT correspondence leads to the idea of
holographic entanglement entropy, which is a clear solution to this important
problem in gravity. In this article, we would like to give a quick survey of
recent progresses on the holographic entanglement entropy. We focus on its
gravitational aspects, so that it is comprehensible to those who are familiar
with general relativity and basics of quantum field theory.Comment: Latex, 30 pages, invited review for Classical and Quantum Gravity,
minor correction
Holographic Entanglement Entropy: An Overview
In this article, we review recent progresses on the holographic
understandings of the entanglement entropy in the AdS/CFT correspondence. After
reviewing the general idea of holographic entanglement entropy, we will explain
its applications to confinement/deconfinement phase transitions, black hole
entropy and covariant formulation of holography.Comment: 52 pages, Invited review article for a special issue "Entanglement
entropy in extended quantum systems" in Journal of Physics A, edited by
P.Calabrese, J. Cardy and B. Doyon; (v2) references adde