Holographic Entanglement Negativity for Conformal Field Theories with a Conserved Charge

Abstract

We study the application of our recent holographic entanglement negativity conjecture for mixed states of adjacent subsystems in conformal field theories with a conserved charge. In this context we obtain the holographic entanglement negativity for zero and finite temperature mixed state configurations in $d$-dimensional conformal field theories dual to bulk extremal and non extremal charged $Ad{S}_{d+1}$ black holes. Our results conform to quantum information theory expectations and constitute significant consistency checks for our conjecture.

arXiv comment23 pages and 1 Figure

References in corpus (33)

• A computable measure of entanglement
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Aspects of Holographic Entanglement Entropy
• 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 Renyi entropies in holographic theories
• Entanglement negativity in quantum field theory
• Relative Entropy and Holography
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Entanglement negativity in extended systems: A field theoretical approach
• Proof of the Holographic Formula for Entanglement Entropy
• Entanglement Entropy from a Holographic Viewpoint
• Finite temperature entanglement negativity in conformal field theory
• The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
• Entanglement negativity after a global quantum quench
• Comments on Entanglement Negativity in Holographic Field Theories
• Strongly Coupled Gauge Theories: High and Low Temperature Behavior of Non-local Observables
• Holographic Mutual Information at Finite Temperature
• Entanglement negativity after a local quantum quench in conformal field theories
• Holographic Quantum Entanglement Negativity
• Nonzero temperature Entanglement Negativity of quantum spin models: Area law, Linked Cluster Expansions and Sudden Death
• Entanglement negativity, Holography and Black holes
• Entanglement negativity in a two dimensional harmonic lattice: Area law and corner contributions
• Entanglement negativity at large central charge
• Aspects of Holographic Entanglement at Finite Temperature and Chemical Potential
• Covariant holographic entanglement negativity
• Holographic Entanglement Negativity for Adjacent Subsystems in $\mathrm{Ad}{\mathrm{S}}_{\mathrm{d}+1}/CF{\mathrm{T}}_{\mathrm{d}}$
• Positivity, negativity, and entanglement
• Entanglement thermodynamics for charged black holes

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• Entanglement Wedge in Flat Holography and Entanglement Negativity
• Covariant holographic entanglement negativity for disjoint intervals in $Ad{S}_3/CF{T}_2$
• Entanglement negativity, reflected entropy, and anomalous gravitation
• Mixed state entanglement measures as probe for confinement
• Islands for Entanglement Negativity
• Holographic entanglement negativity for disjoint intervals in $Ad{S}_3/CF{T}_2$
• Defect extremal surfaces for entanglement negativity
• Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
• Time Evolution of Entanglement Negativity from Black Hole Interiors
• Covariant holographic negativity from the entanglement wedge in AdS${}_3/$CFT${}_2$
• Mixed state entanglement in deformed field theory at finite temperature
• Entanglement Negativity in Flat Holography
• Entanglement at the Soft-Hair Horizon
• Holographic entanglement negativity for disjoint subsystems in $\mathrm{Ad}{\mathrm{S}}_{\mathrm{d}+1}/CF{\mathrm{T}}_{\mathrm{d}}$
• Holographic entanglement negativity for a single subsystem in conformal field theories with a conserved charge