paper

Probing Hawking radiation through capacity of entanglement

arXiv:2102.02425 · doi:10.1007/JHEP05(2021)062

Abstract

We consider the capacity of entanglement in models related with the gravitational phase transitions. The capacity is labeled by the replica parameter which plays a similar role to the inverse temperature in thermodynamics. In the end of the world brane model of a radiating black hole the capacity has a peak around the Page time indicating the phase transition between replica wormhole geometries of different types of topology. Similarly, in a moving mirror model describing Hawking radiation the capacity typically shows a discontinuity when the dominant saddle switches between two phases, which can be seen as a formation of island regions. In either case we find the capacity can be an invaluable diagnostic for a black hole evaporation process.

arXiv comment28 pages, 12 figures; v2: typos corrected, references added; v3: typos corrected, references added, published version

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