Defect Extremal Surface for Reflected Entropy
arXiv:2108.08544 · doi:10.1007/JHEP01(2022)018
Abstract
Defect extremal surface is defined by extremizing the Ryu-Takayanagi formula corrected by the quantum defect theory. This is interesting when the AdS bulk contains a defect brane (or string). We introduce a defect extremal surface formula for reflected entropy, which is a mixed state generalization of entanglement entropy measure. Based on a decomposition procedure of an AdS bulk with a brane, we demonstrate the equivalence between defect extremal surface formula and island formula for reflected entropy in AdS/BCFT. We also compute the evolution of reflected entropy in evaporating black hole model and find that defect extremal surface formula agrees with island formula.
arXiv comment1+35 pages, 23 figures
References in corpus (79)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- A Covariant Holographic Entanglement Entropy Proposal
- Generalized gravitational entropy
- Information in Black Hole Radiation
- Replica Wormholes and the Entropy of Hawking 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
- Locally Localized Gravity
- Holographic Dual of BCFT
- Time Dependence of Hawking Radiation Entropy
- Holographic Entanglement of Purification
- Entanglement Entropy at Large Central Charge
- Information Transfer with a Gravitating Bath
- Entanglement islands in higher dimensions
- Islands outside the horizon
- Information radiation in BCFT models of black holes
- Islands in Schwarzschild black holes
- Islands in cosmology
- Bra-ket wormholes in gravitationally prepared states
- An Information Paradox and Its Resolution in de Sitter Holography
- Page Curve for an Evaporating Black Hole
- Islands in Asymptotically Flat 2D Gravity
- Gravity/Ensemble Duality
- Islands in de Sitter space
- BCFT entanglement entropy at large central charge and the black hole interior
- Entanglement entropy in holographic moving mirror and Page curve
- 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
- Observations of Hawking radiation: the Page curve and baby universes
- Islands for Reflected Entropy
- Island in Charged Black Holes
- Islands and Page curves in 4d from Type IIB
- A violation of global symmetries from replica wormholes and the fate of black hole remnants
- Information Flow in Black Hole Evaporation
- Islands and Page curves of Reissner-Nordström black holes
- Islands and complexity of eternal black hole and radiation subsystems for a doubly holographic model
- Replica wormholes for an evaporating 2D black hole
- Global symmetry, Euclidean gravity, and the black hole information problem
- Dirichlet Baths and the Not-so-Fine-Grained Page Curve
- Islands in charged linear dilaton black holes
- Entanglement of Purification for Multipartite States and its Holographic Dual
- Pulling Out the Island with Modular Flow
- Reflected Entropy for an Evaporating Black Hole
- Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
- Comments on wormholes, ensembles, and cosmology
- Probing Hawking radiation through 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
- Signatures of global symmetry violation in relative entropies and replica wormholes
- Islands in Linear Dilaton Black Holes
- Entanglement entropies of equilibrated pure states in quantum many-body systems and gravity
- Generalizations of Reflected Entropy and the Holographic Dual
- Circuit Complexity From Cosmological Islands
- Multipartite Reflected Entropy
- Island Finder and Entropy Bound
- Unitarity of Entanglement and Islands in Two-Sided Janus Black Holes
- Reflected entropy, symmetries and free fermions
- Phases of Holographic Interfaces
- Ensemble from Coarse Graining: Reconstructing the Interior of an Evaporating Black Hole
- Topological shadows and complexity of islands in multiboundary wormholes
- Topological reflected entropy in Chern-Simons theories
- Islands for Entanglement Negativity
- Reflected entropy for free scalars
- Islands with Gravitating Baths: Towards ER = EPR
- Islands and mixed states in closed universes
- Black Hole Interior in Unitary Gauge Construction
- Islands in the Stream of Hawking Radiation
- Quantum tasks require islands on the brane
- Time dependence of reflected entropy in rational and holographic conformal field theories
- Entanglement island, miracle operators and the firewall
- Evaporation of black holes in flat space entangled with an auxiliary universe
- A quantum circuit interpretation of evaporating black hole geometry
- Islands and Uhlmann phase: Explicit recovery of classical information from evaporating black holes
- Evaporating Black Holes Coupled to a Thermal Bath
- Page Curve from Defect Extremal Surface and Island in Higher Dimensions
- The Universal Coefficient Theorem, Wormholes, and the Island
Cited by in corpus (11)
- Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
- The universality of islands outside the horizon
- BCFT in a Black Hole Background: An Analytical Holographic Model
- Entanglement Islands in Generalized Two-dimensional Dilaton Black Holes
- The Markov gap in the presence of islands
- JT Gravity from Partial Reduction and Defect Extremal Surface
- Defect extremal surfaces for entanglement negativity
- Reflected Entropy for Communicating Black Holes I: Karch-Randall Braneworlds
- Reflected Entropy and Entanglement Negativity for Holographic Moving Mirrors
- Entanglement Negativity and Defect Extremal Surface
- Entanglement wedge cross section inequalities in AdS/BCFT