Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure
arXiv:2105.01097 · doi:10.1007/JHEP10(2021)187
Abstract
We define a generalized entanglement measure in the context of the AdS/CFT correspondence. Compared to the ordinary entanglement entropy for a spatial subregion dual to the area of the Ryu-Takayanagi surface, we take into account both entanglement between spatial degrees of freedom as well as between different fields of the boundary theory. Moreover, we resolve the contribution to the entanglement entropy of strings with different winding numbers in the bulk geometry. We then calculate this generalized entanglement measure in a thermal state dual to the BTZ black hole in the setting of the D1/D5 system at and close to the orbifold point. We find that the entanglement entropy defined in this way is dual to the length of a geodesic with non-zero winding number. Such geodesics probe the entire bulk geometry, including the entanglement shadow up to the horizon in the one-sided black hole as well as the wormhole growth in the case of a two-sided black hole for an arbitrarily long time. Therefore, we propose that the entanglement structure of the boundary state is enough to reconstruct asymptotically AdS geometries up to extremal surface barriers.
arXiv comment15 pages, 2 figures, published version
References in corpus (70)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- Generalized gravitational entropy
- Building up spacetime with quantum entanglement
- Entanglement Renormalization and Holography
- Complexity and Shock Wave Geometries
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Probing entanglement in a many-body-localized system
- Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
- The entanglement of indistinguishable particles shared between two parties
- Microscopic Formulation of Black Holes in String Theory
- Elliptic Genera of Symmetric Products and Second Quantized Strings
- The Worldsheet Dual of the Symmetric Product CFT
- Symmetry-resolved entanglement in many-body systems
- Deriving the Correspondence
- Equipartition of the Entanglement Entropy
- Entwinement and the emergence of spacetime
- Tensionless String Spectra on
- Bit threads and holographic entanglement
- Holographic entanglement plateaux
- Symmetry resolved entanglement in free fermionic systems
- Superstrings on AdS3 at k=1
- Entanglement and symmetry resolution in two dimensional free quantum field theories
- Entanglement equipartition in critical random spin chains
- Dynamics of Charge-Resolved Entanglement after a Local Quench
- Operationally accessible entanglement of one dimensional spinless fermions
- Particle Number Fluctuations, Rényi and Symmetry-resolved Entanglement Entropy in Two-dimensional Fermi Gas from Multi-dimensional Bosonization
- A Spin Chain for the Symmetric Product CFT_2
- Symmetry resolved entanglement entropy of excited states in a CFT
- Extremal Surface Barriers
- Holographic Subregion Complexity from Kinematic Space
- Deforming the D1D5 CFT away from the orbifold point
- Symmetry resolved entanglement: Exact results in 1D and beyond
- Nuts and Bolts for Creating Space
- Free field world-sheet correlators for
- Symmetry resolved entanglement in integrable field theories via form factor bootstrap
- Partition functions of the tensionless string
- Symmetry-resolved entanglement in symmetry-protected topological phases
- Riemannian and Lorentzian flow-cut theorems
- Large N Elliptic Genus and AdS/CFT Correspondence
- Symmetry resolved entanglement in two-dimensional systems via dimensional reduction
- Symmetry-Resolved Entanglement in AdS/CFT coupled to Chern-Simons Theory
- U(1) symmetry resolved entanglement in free 1+1 dimensional field theories via form factor bootstrap
- Excitations in the deformed D1D5 CFT
- Bit Threads and Holographic Monogamy
- Casting Shadows on Holographic Reconstruction
- Phase transitions in symmetric orbifold CFTs and universality
- Effect of the deformation operator in the D1D5 CFT
- Holographic Reconstruction of General Bulk Surfaces
- Operator mixing for string states in the D1-D5 CFT near the orbifold point
- Lifting of D1-D5-P states
- Entwinement in discretely gauged theories
- Effect of the twist operator in the D1D5 CFT
- Bogoliubov coefficients for the twist operator in the D1D5 CFT
- Evolution of entanglement entropy in the D1-D5 brane system
- Genus Two Partition Functions and Renyi Entropies of Large c CFTs
- Lifting at higher levels in the D1D5 CFT
- Bit threads, Einstein's equations and bulk locality
- Operator mixing in deformed D1D5 CFT and the OPE on the cover
- Full action of two deformation operators in the D1D5 CFT
- Lifting of level-1 states in the D1D5 CFT
- Equivalence of Emergent de Sitter Spaces from Conformal Field Theory
- Entanglement versus entwinement in symmetric product orbifolds
- Lifting of states in 2-dimensional supersymmetric CFTs
- One-Loop Transition Amplitudes in the D1D5 CFT
- Kinematic space for conical defects
- Scaling of entanglement entropy and superselection rules
- Kinematic Space and Wormholes
- Entwinement as a possible alternative to complexity
- Monodromy methods for torus conformal blocks and entanglement entropy at large central charge