Page curve of effective Hawking radiation
Chia-Jui Chou, Hans B. Lao, Yi Yang
Abstract
We study the generalized entanglement entropy in the higher-dimensional two-sided eternal black hole by double holography. By introducing an end of the world ETW brane, which defines the time-dependent effective Hawking radiation region, we find a new type of Ryu-Takayanagi surface besides the Hartman-Maldacena surface and the island Ryu-Takayanagi surface known previously. We study the phase transition among the three Ryu-Takayanagi surfaces at different temperatures and obtain the phase diagram as well as the Page curve.
Topics & Concepts
Quantum entanglementTheoretical physicsPhase diagramPhysicsHolographyEntropy (arrow of time)Hawking radiationHawkingPhase (matter)Quantum mechanicsQuantumBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum Electrodynamics and Casimir Effect