Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2021)062
Keywords
2D Gravity; Black Holes
Categories
Funding
- JSPS [19K03863, 16H02182, 18J00322]
- U.S. Department of Energy under the HEP-QIS QuantISED program [DE-SC0019480]
- University of California
- Mathematics Program to Drive Transformation (FoPM), a World-leading Innovative Graduate Study (WINGS) Program, the University of Tokyo
- Grants-in-Aid for Scientific Research [18J00322, 19K03863] Funding Source: KAKEN
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The study shows that in models related with gravitational phase transitions, entanglement capacity exhibits phase transitions between different types of topology and can serve as a valuable diagnostic tool in the process of black hole evaporation.
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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