Pulling Out the Island with Modular Flow
arXiv:1912.02210 · doi:10.1007/JHEP03(2020)033
Abstract
Recent works have suggested that the entanglement wedge of Hawking radiation coming from an AdS black hole, will include an island inside the black hole interior after the Page time. In this paper, we propose a concrete way to extract the information from the island by acting only on the radiation degrees of freedom, building on the equivalence between the boundary and bulk modular flow. We consider examples with black holes in JT gravity coupled to baths. In the case that the bulk conformal fields contain free massless fermion field, we provide explicit bulk picture of the information extraction process, where we find that one can almost pull out an operator from the island to the bath with modular flow.
21 pages, 10 figures. v2: matched published version
References in corpus (10)
- Black holes as mirrors: quantum information in random subsystems
- Replica Wormholes and the Entropy of Hawking Radiation
- Holographic representation of local bulk operators
- Causality & holographic entanglement entropy
- Islands outside the horizon
- Information radiation in BCFT models of black holes
- Simple holographic models of black hole evaporation
- Unitarity From a Smooth Horizon?
- Large Breakdowns of Entanglement Wedge Reconstruction
- Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT
Cited by in corpus (57)
- The entropy of Hawking radiation
- Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
- Islands in Schwarzschild black holes
- Islands in cosmology
- Bra-ket wormholes in gravitationally prepared states
- Islands in Asymptotically Flat 2D Gravity
- Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
- Island in Charged Black Holes
- Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
- Islands in charged linear dilaton black holes
- Reflected Entropy for an Evaporating Black Hole
- Geometric secret sharing in a model of Hawking radiation
- Islands and stretched horizon
- Effective entropy of quantum fields coupled with gravity
- Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
- Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
- Replica wormholes and capacity of entanglement
- Defect extremal surface as the holographic counterpart of Island formula
- Islands in Linear Dilaton Black Holes
- Signatures of global symmetry violation in relative entropies and replica wormholes
- Page Curve and the Information Paradox in Flat Space
- Entanglement entropies of equilibrated pure states in quantum many-body systems and gravity
- Defect Extremal Surface for Reflected Entropy
- Holographic spacetime, black holes and quantum error correcting codes: A review
- Bath deformations, islands and holographic complexity
- Partial islands and subregion complexity in geometric secret-sharing model
- Gravity Dual of Connes Cocycle Flow
- JT Gravity from Partial Reduction and Defect Extremal Surface
- Ephemeral Islands, Plunging Quantum Extremal Surfaces and BCFT channels
- Entanglement entropy analysis of dyonic black holes using doubly holographic theory
- Defect extremal surfaces for entanglement negativity
- Islands in the Stream of Hawking Radiation
- Grey-body Factors, Irreversibility and Multiple Island Saddles
- An intuitive construction of modular flow
- Quantum Error Correction in the Black Hole Interior
- Page Curve for Eternal Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity
- Entanglement island, miracle operators and the firewall
- Seeing the Entanglement Wedge
- Entanglement between two evaporating black holes
- Evaporation of black holes in flat space entangled with an auxiliary universe
- Entanglement wedge reconstruction and correlation measures in mixed states: modular flows versus quantum recovery channels
- Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
- Island of Reissner-Nordstrm anti-de Sitter black holes in the large limit
- Entanglement entropy and vacuum states in Schwarzschild geometry
- A comment on a fine-grained description of evaporating black holes with baby universes
- Non-Isometric Quantum Error Correction in Gravity
- Evaporating Black Holes Coupled to a Thermal Bath
- Page Curve from Defect Extremal Surface and Island in Higher Dimensions
- Microstate Distinguishability, Quantum Complexity, and the Eigenstate Thermalization Hypothesis
- Holographic moving mirrors
- Entanglement inside a black hole before the Page time
- The Holographic Map of an Evaporating Black Hole
- Charge fluctuation entropy of Hawking radiation: a replica-free way to find large entropy
- A Note on Entanglement Entropy for Primary Fermion Fields in JT Gravity
- Relational bulk reconstruction from modular flow
- Unitary description of the black hole by prime numbers
- Boundary mutual information in double holography