Page Curve of Effective Hawking Radiation
arXiv:2111.14551 · doi:10.1103/PhysRevD.106.066008
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.
arXiv commentDefinitions and descriptions were clarified in sections 2.4 and 3.2, modified some diagrams and added more for clarification, added more detailed calculations in section 3.2, corrected some minor typos
References in corpus (110)
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- 4D Gravity on a Brane in 5D Minkowski Space
- Aspects of Holographic Entanglement Entropy
- A Covariant Holographic Entanglement Entropy Proposal
- Black Holes: Complementarity or Firewalls?
- Cool horizons for entangled black holes
- Information in Black Hole Radiation
- Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
- Quantum corrections to holographic entanglement entropy
- The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
- The Page curve of Hawking radiation from semiclassical geometry
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- The entropy of Hawking radiation
- Locally Localized Gravity
- Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
- Holographic Dual of BCFT
- Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
- An Apologia for Firewalls
- Aspects of AdS/BCFT
- Holography and Defect Conformal Field Theories
- An Infalling Observer in AdS/CFT
- Conformal Field Theories Near a Boundary in General Dimensions
- Massive Islands
- Entanglement islands in higher dimensions
- Quantum Computation vs. Firewalls
- Islands outside the horizon
- Information radiation in BCFT models of black holes
- Inconsistency of Islands in Theories with Long-Range Gravity
- Islands in Schwarzschild black holes
- An Information Paradox and Its Resolution in de Sitter Holography
- Page Curve for an Evaporating Black Hole
- The Black Hole Interior in AdS/CFT and the Information Paradox
- Islands in Asymptotically Flat 2D Gravity
- Central Charges for BCFTs and Holography
- Gravity/Ensemble Duality
- Holographic BCFTs and Communicating Black Holes
- Critical Islands
- Notes on islands in asymptotically flat 2d dilaton black holes
- Island in the Presence of Higher Derivative Terms
- Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
- Simple holographic models of black hole evaporation
- Islands for Reflected Entropy
- Unitarity of black hole evaporation in final-state projection models
- Island in Charged Black Holes
- Quantum BTZ black hole
- Islands and Page curves in 4d from Type IIB
- The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
- Information Flow in Black Hole Evaporation
- Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
- Islands and Page curves of Reissner-Nordström black holes
- Islands in charged linear dilaton black holes
- Higgs Phenomenon for 4-D Gravity in Anti de Sitter Space
- Unitarity From a Smooth Horizon?
- Mass and Gauge Invariance IV (Holography for the Karch-Randall Model)
- Geometric secret sharing in a model of Hawking radiation
- The universality of islands outside the horizon
- The Price of Curiosity: Information Recovery in de Sitter Space
- Probing Hawking radiation through capacity of entanglement
- Quantum minimal surfaces from quantum error correction
- A New Proposal for Holographic BCFT
- Replica wormholes and capacity of entanglement
- Entanglement entropy of asymptotically flat non-extremal and extremal black holes with an island
- Defect extremal surface as the holographic counterpart of Island formula
- On New Proposal for Holographic BCFT
- Page Curve and the Information Paradox in Flat Space
- Page curves for a family of exactly solvable evaporating black holes
- Islands in Kaluza-Klein black holes
- Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity
- Causal Structures and Nonlocality in Double Holography
- Unitarity of Entanglement and Islands in Two-Sided Janus Black Holes
- Absence of a VVDZ Discontinuity in AdS_AdS
- From the BTZ black hole to JT gravity: geometrizing the island
- Phases of Holographic Interfaces
- Warped Information and Entanglement Islands in AdS/WCFT
- Multipartite Purification, Multiboundary Wormholes and Islands in AdS/CFT
- Topological shadows and complexity of islands in multiboundary wormholes
- Complementarity of the Maldacena and Karch-Randall Pictures
- Hawking Radiation Correlations of Evaporating Black Holes in JT Gravity
- Submerging islands through thermalization
- Islands for Entanglement Negativity
- Branches of the Black Hole Wave Function Need Not Contain Firewalls
- Page Curve for Entanglement Negativity through Geometric Evaporation
- Free fermion entanglement with a semitransparent interface: the effect of graybody factors on entanglement islands
- The Page curve and baby universes
- Codimension-n Holography for Cones
- Homology Conditions for RT Surfaces in Double Holography
- Islands and mixed states in closed universes
- Surface Theory: the Classical, the Quantum, and the Holographic
- Local quenches, bulk entanglement entropy and a unitary Page curve
- Ephemeral Islands, Plunging Quantum Extremal Surfaces and BCFT channels
- Entanglement entropy and Page curve of black holes with island in massive gravity
- Islands in the Stream of Hawking Radiation
- The Dictionary for Double Holography and Graviton Masses in d Dimensions
- Quantum tasks require islands on the brane
- Entanglement between two gravitating universes
- Entanglement entropy in FRW backgrounds
- Entanglement island, miracle operators and the firewall
- Page curve from dynamical branes in JT gravity
- On the Graviton Self Energy in AdS_4
- Unitarity and Page curve for evaporation of 2D AdS black holes
- Rescuing Complementarity With Little Drama
- Time Evolution of Entanglement Entropy in Holographic FLRW Cosmologies
- Holographic Entanglement Entropy in Boundary Quantum Field Theory
- Concerns about the replica wormhole derivation of the island conjecture
- Before the Page time: maximum entanglements or the return of the monster?
- Page Curve from Defect Extremal Surface and Island in Higher Dimensions
- Holographic moving mirrors
- A Note on Islands in Schwarzschild Black Holes
Cited by in corpus (12)
- Entanglement Island and Page Curve in Wedge Holography
- Entanglement Islands in Generalized Two-dimensional Dilaton Black Holes
- Island on codimension-two branes in AdS/dCFT
- Entanglement entropy analysis of dyonic black holes using doubly holographic theory
- Defect extremal surfaces for entanglement negativity
- Island formula in Planck brane
- Ghost Problem, Spectrum Identities and Various Constraints on Brane-localized Gravity
- Black holes Entangled by Radiation
- Page Curve of AdS-Vaidya Model for Evaporating Black Holes
- Cone Holography with Neumann Boundary Conditions and Brane-localized Gauge Fields
- Entanglement inside a black hole before the Page time
- Effect of backreaction on Island, Page curve and Mutual Information