Replica wormholes and capacity of entanglement.
2021
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, which indicates a discontinuity of the capacity 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:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
170
References
14
Citations
NaN
KQI