Replica wormholes and capacity of entanglement
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.
Keywords
Cite
@article{arxiv.2105.08396,
title = {Replica wormholes and capacity of entanglement},
author = {Kohki Kawabata and Tatsuma Nishioka and Yoshitaka Okuyama and Kento Watanabe},
journal= {arXiv preprint arXiv:2105.08396},
year = {2021}
}
Comments
40 pages, 7 figures; v2: minor clarifications, references added; v3: typos corrected, a table added, published version