Routing protocol

Combinatorics

Quantum entanglement

Physics

Statistical physics

Mathematical optimization

Mathematical analysis

Phase transition

Visual arts

Topology (electrical circuits)

Gravitational wave

Geometry

Saddle point

Replica

Discontinuity (linguistics)

Saddle

Wormhole

Computer network

Theoretical physics

Mathematics

Hawking radiation

Computer science

Black hole (networking)

Heat capacity

Quantum mechanics

Routing (electronic design automation)

Quantum

Link-state routing protocol

Journal of High Energy Physics

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.

Probing Hawking radiation through capacity of entanglement