Probing Hawking radiation through capacity of entanglement

• URL: http://arxiv.org/abs/2102.02425v3
• Date: Tue, 1 Jun 2021 01:03:30 GMT
• Title: Probing Hawking radiation through capacity of entanglement
• Authors: Kohki Kawabata, Tatsuma Nishioka, Yoshitaka Okuyama and Kento Watanabe
• Abstract summary: We consider the capacity of entanglement in models related with the gravitational phase transitions. In the end of the world brane model of a radiating black hole the capacity has a peak around the Page time. In a moving mirror model describing Hawking radiation the capacity typically shows a discontinuity when the dominant saddle switches between two phases.
• Score: 0.7646713951724009
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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