Replica wormholes and capacity of entanglement

• URL: http://arxiv.org/abs/2105.08396v3
• Date: Mon, 25 Oct 2021 12:33:07 GMT
• Title: Replica wormholes and capacity of entanglement
• Authors: Kohki Kawabata, Tatsuma Nishioka, Yoshitaka Okuyama and Kento Watanabe
• Abstract summary: We consider entanglement as a probe of 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. We show that the capacity of entanglement is saturated by the thermal capacity of the black hole in the high temperature limit.
• Score: 0.7646713951724009
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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