Replica wormholes and capacity of entanglement
Kohki Kawabata, Tatsuma Nishioka, Yoshitaka Okuyama, Kento Watanabe
Abstract
A bstract We consider the capacity of entanglement as a probe of the Hawking radiation in a two-dimensional dilaton gravity coupled with conformal matter of large degrees of freedom. A formula calculating the capacity is derived using the gravitational path integral, from which we speculate that the capacity has a discontinuity at the Page time in contrast to the continuous behavior of the generalized entropy. We apply the formula to a replica wormhole solution in an eternal AdS black hole coupled to a flat non-gravitating bath and show that the capacity of entanglement is saturated by the thermal capacity of the black hole in the high temperature limit.
Topics & Concepts
PhysicsWormholeQuantum entanglementHeat capacityDilatonReplica trickBlack hole (networking)Theoretical physicsReplicaPath integral formulationConformal mapQuantum mechanicsThermalGravitationDiscontinuity (linguistics)Mathematical physicsHawking radiationQuantum electrodynamicsConformal field theoryClassical mechanicsMassive gravityBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories