60 research outputs found
Thermal Corrections to Entanglement Entropy from Holography
We use holographic techniques to calculate the first thermal correction to
the entanglement entropy of a cap-like region of a CFT defined on a sphere,
successfully reproducing the field theory result. Since this is an order-one
correction to the entropy in the large- expansion, quantum corrections to
the holographic entanglement entropy formula are essential. The bulk
calculation is made tractable using the same technical machinery recently used
to derive the linearized Einstein equations in the bulk from the first law of
entanglement entropy in the CFT.Comment: 12 pages, 1 figur
Disrupting Entanglement of Black Holes
We study entanglement in thermofield double states of strongly coupled CFTs
by analyzing two-sided Reissner-Nordstrom solutions in AdS. The central object
of study is the mutual information between a pair of regions, one on each
asymptotic boundary of the black hole. For large regions the mutual information
is positive and for small ones it vanishes; we compute the critical length
scale, which goes to infinity for extremal black holes, of the transition. We
also generalize the butterfly effect of Shenker and Stanford to a wide class of
charged black holes, showing that mutual information is disrupted upon
perturbing the system and waiting for a time of order in
units of the temperature. We conjecture that the parametric form of this
timescale is universal.Comment: 20 pages, 3 figures; v2: references adde
Upper and Lower Bounds on the Integrated Null Energy in Gravity
We prove a lower bound on the integrated null energy along achronal geodesic
segments using induced gravity on a brane in AdS/CFT. The bound follows from
the assumption that bulk causality respects brane causality, and matches a
bound recently conjectured by Freivogel and Krommydas for semiclassical
gravity. We also prove a more general upper bound on the same quantity that
follows simply from achronality. We check that the lower bound is satisfied in
recent constructions of traversable wormholes, and demonstrate that the bound
is related to causality in the ambient spacetime of the wormhole.Comment: 7+1 pages, 0 figure
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