Covariant holographic negativity from the entanglement wedge in AdSCFT
arXiv:2102.05676 · doi:10.1016/j.physletb.2022.137451
Abstract
We propose a covariant holographic construction based on the extremal entanglement wedge cross section, for the entanglement negativity of bipartite states in s dual to non static bulk geometries. Utilizing our proposal we obtain the holographic entanglement negativity for bipartite mixed states in s dual to bulk extremal and non extremal rotating BTZ black holes and the time dependent Vaidya- geometries. Our results correctly reproduce the replica technique results modulo certain constants for the corresponding dual s in the large central charge limit for the bulk black hole geometries. Furthermore for all the cases our results also match upto such constants with the corresponding results from an earlier alternate covariant holographic construction in the literature. This demonstrates the equivalence modulo constants of the two constructions for the scenario.
arXiv comment1 figure, 22 pages, minor modifications and references added
References in corpus (53)
- A computable measure of entanglement
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- Entanglement entropy and conformal field theory
- The logarithmic negativity: A full entanglement monotone that is not convex
- Generalized gravitational entropy
- Holographic Entanglement Entropy: An Overview
- Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
- Relative entropy equals bulk relative entropy
- Entanglement negativity in quantum field theory
- Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
- The Gravity Dual of a Density Matrix
- Causality & holographic entanglement entropy
- The Gravity Dual of Renyi Entropy
- Holographic Entanglement of Purification
- Entanglement entropy of two disjoint intervals in conformal field theory II
- Entanglement negativity in extended systems: A field theoretical approach
- Entanglement entropy: holography and renormalization group
- The entanglement of purification
- Holographic Calculations of Renyi Entropy
- Entanglement Entropy from a Holographic Viewpoint
- Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
- Finite temperature entanglement negativity in conformal field theory
- Entanglement Wedge Cross Section from the Dual Density Matrix
- The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
- Entanglement negativity in the harmonic chain out of equilibrium
- Derivation of holographic negativity in AdS/CFT
- Decoding the Apparent Horizon: A Coarse-Grained Holographic Entropy
- Strongly Coupled Gauge Theories: High and Low Temperature Behavior of Non-local Observables
- Holographic Mutual Information at Finite Temperature
- Conformal Blocks and Negativity at Large Central Charge
- Entanglement Wedge Reconstruction and Entanglement of Purification
- Geometric Aspects of Holographic Bit Threads
- Conditional and Multipartite Entanglements of Purification and Holography
- Holographic Quantum Entanglement Negativity
- Some Aspects of Entanglement Wedge Cross-Section
- Entanglement negativity, Holography and Black holes
- Entanglement of Purification in Free Scalar Field Theories
- Entanglement negativity at large central charge
- Holographic entanglement negativity conjecture for adjacent intervals in
- Quantum and Classical Correlations Inside the Entanglement Wedge
- Holographic Entanglement Negativity for Adjacent Subsystems in
- Covariant holographic entanglement negativity
- Covariant Holographic Entanglement Negativity for Adjacent Subsystems in
- From Conformal Blocks to Path Integrals in the Vaidya Geometry
- Covariant holographic entanglement negativity for disjoint intervals in
- Islands for Entanglement Negativity
- Entanglement Entropy of Extremal BTZ
- Holographic entanglement negativity for disjoint intervals in
- Evolution of Entanglement Wedge Cross Section Following a Global Quench
- Entanglement thermodynamics for charged black holes
- Holographic Entanglement Negativity for Conformal Field Theories with a Conserved Charge
- Entanglement of purification and disentanglement in CFTs