Holographic entanglement negativity for disjoint subsystems in
arXiv:2001.10534 · doi:10.1142/S0217751X24501409
Abstract
We propose a construction to compute the holographic entanglement negativity for bipartite mixed state configurations of two disjoint subsystems in higher dimensional conformal field theories (CFTs) dual to bulk AdS geometries. Our proposal follows from the corresponding AdS/CFT scenario and involves an algebraic sum of the areas of bulk RT surfaces for certain combinations of subsystems. Utilizing our construction we compute the holographic entanglement negativity at the leading order through a perturbative expansion, for such bipartite mixed states of two disjoint subsystems with long rectangular strip geometries in CFTs dual to bulk pure AdS geometries and AdS-Schwarzschild black holes.
21 pages, 5 figures, 1 appendix, v4: matches the published version
References in corpus (50)
- A computable measure of entanglement
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- Aspects of Holographic Entanglement Entropy
- A Covariant Holographic Entanglement Entropy Proposal
- Entanglement entropy and conformal field theory
- The logarithmic negativity: A full entanglement monotone that is not convex
- Towards a derivation of holographic entanglement entropy
- Generalized gravitational entropy
- Holographic Entanglement Entropy: An Overview
- Entanglement negativity in quantum field theory
- Universality of Long-Distance AdS Physics from the CFT Bootstrap
- Entanglement entropy of two disjoint intervals in conformal field theory
- Relative Entropy and Holography
- 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
- Thermodynamical Property of Entanglement Entropy for Excited States
- Deriving covariant holographic entanglement
- 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
- Extremal surfaces as bulk probes in AdS/CFT
- Derivation of holographic negativity in AdS/CFT
- Strongly Coupled Gauge Theories: High and Low Temperature Behavior of Non-local Observables
- Comments on Entanglement Negativity in Holographic Field Theories
- Holographic Mutual Information at Finite Temperature
- Conformal Blocks and Negativity at Large Central Charge
- Holographic Quantum Entanglement Negativity
- Twist operators in higher dimensions
- Holographic entanglement negativity and replica symmetry breaking
- Entanglement negativity, Holography and Black holes
- Finite-temperature entanglement negativity of free fermions
- Quantum vs. classical information: operator negativity as a probe of scrambling
- Entanglement negativity at large central charge
- Holographic entanglement negativity conjecture for adjacent intervals in
- Covariant holographic entanglement negativity
- Holographic Entanglement Negativity for Adjacent Subsystems in
- Covariant Holographic Entanglement Negativity for Adjacent Subsystems in
- Holographic entanglement entropy of the BTZ black hole
- Covariant holographic entanglement negativity for disjoint intervals in
- Islands for Entanglement Negativity
- Holographic entanglement negativity for disjoint intervals in
- Non-local observables at finite temperature in AdS/CFT
- Entanglement thermodynamics for charged black holes
- Holographic Entanglement Negativity for Conformal Field Theories with a Conserved Charge
- Phase transitions in 3D gravity and fractal dimension
- Covariant holographic negativity from the entanglement wedge in AdSCFT
- The Markov gap for geometric reflected entropy