Entanglement Wedge Cross Section in Holographic Excited States

Abstract

We evaluate the entanglement wedge cross section (EWCS) in asymptotically AdS geometries which are dual to boundary excited states. We carry out a perturbative analysis for calculating EWCS between the vacuum and other states for a symmetric configuration consisting of two disjoint strips and obtain analytical results in the specific regimes of the parameter space. In particular, when the states described by purely gravitational excitations in the bulk we find that the leading correction to EWCS is negative and hence the correlation between the boundary subregions decreases. We also study other types of excitations upon adding the extra matter fields including current and scalar condensate. Our study reveals some generic properties of boundary information measures dual to EWCS, e.g., entanglement of purification, logarithmic negativity and reflected entropy. Finally, we discuss how these results are consistent with the behavior of other correlation measures including the holographic mutual information.

arXiv comment35 pages, 8 figures, v2: a minor correction, references added, v3: title changed, updated to match the published version

References in corpus (48)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• A simple holographic model of momentum relaxation
• Relative Entropy and Holography
• Holographic Entanglement of Purification
• Holographic Entanglement Entropy
• Entanglement entropy: holography and renormalization group
• Thermodynamical Property of Entanglement Entropy for Excited States
• The entanglement of purification
• Entanglement Temperature and Entanglement Entropy of Excited States
• Entanglement of purification: from spin chains to holography
• Entanglement Wedge Cross Section from the Dual Density Matrix
• Entanglement entropy of excited states
• Derivation of holographic negativity in AdS${}_3$/CFT${}_2$
• Dynamics of Entanglement Entropy from Einstein Equation
• On Lifshitz scaling and hyperscaling violation in string theory
• Entanglement Wedge Cross Sections Require Tripartite Entanglement
• Entanglement Wedge Cross Section from CFT: Dynamics of Local Operator Quench
• Some Aspects of Entanglement Wedge Cross-Section
• Lifshitz/Schrödinger D-p-branes and dynamical exponents
• Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
• Holographic entanglement negativity and replica symmetry breaking
• Balanced Partial Entanglement and the Entanglement Wedge Cross Section
• Special limits and non-relativistic solutions
• On the Time Evolution of Holographic n-partite Information
• Entanglement of Purification in Free Scalar Field Theories
• Towards Entanglement of Purification for Conformal Field Theories
• Dynamics of Entanglement Wedge Cross Section from Conformal Field Theories
• Quantum and Classical Correlations Inside the Entanglement Wedge
• Notes on entanglement wedge cross sections
• Excited state entanglement in one dimensional quantum critical systems: Extensivity and the role of microscopic details
• Holographic entanglement of purification for thermofield double states and thermal quench
• Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories
• AdS plane waves and entanglement entropy
• Reflected entropy for free scalars
• Excitation Entanglement Entropy in 2d Conformal Field Theories
• Evolution of Entanglement Wedge Cross Section Following a Global Quench
• Entanglement Entropy and Subregion Complexity in Thermal Perturbations around Pure-AdS Spacetime
• Holographic study of entanglement and complexity for mixed states
• Effect of back reaction on entanglement and subregion volume complexity in strongly coupled plasma
• AdS plane waves, entanglement and mutual information
• A Field Theory Study of Entanglement Wedge Cross Section: Odd Entropy
• Time dependence of reflected entropy in rational and holographic conformal field theories
• Holographic Entanglement of Purification near a Critical Point
• Temperature Dependence of Entanglement of Purification in Presence of Chemical Potential
• Entanglement wedge cross-section in shock wave geometries
• Entanglement entropy and the first law at third order for boosted black branes
• Generalized entanglement temperature and entanglement Smarr relation
• High temperature behavior of non-local observables in boosted strongly coupled plasma: A holographic study

Cited by in corpus (18)

• Crossed product algebras and generalized entropy for subregions
• Balanced Partial Entanglement and Mixed State Correlations
• Entanglement negativity, reflected entropy, and anomalous gravitation
• Covariant entanglement wedge cross-section, balanced partial entanglement and gravitational anomalies
• Holographic Study of Reflected Entropy in Anisotropic Theories
• Entanglement wedge cross section for noncommutative Yang-Mills theory
• Entanglement Wedge Cross Section Growth During Thermalization
• Entanglement Wedge Minimum Cross-Section for Holographic Aether Gravity
• Entanglement Wedge Cross Section with Gauss-Bonnet Corrections and Thermal Quench
• Odd entanglement entropy in $\text{T}\bar{\text{T}}$ deformed CFT${}_2$s and holography
• Mixed state information theoretic measures in boosted black brane
• The mixed-state entanglement in holographic p-wave superconductor model
• Probing Phase Structure of Strongly Coupled Matter with Holographic Entanglement Measures
• Non-Conformal Behavior of Holographic Entanglement Measures
• Information theoretic measures for Lifshitz system
• One-half reflected entropy is not a lower bound for entanglement of purification
• More on entanglement properties of $Li{f}_4^{(2)}\times S^1\times S^5$ spacetime with string excitations
• Renyi reflected entropy and entanglement wedge cross section with cosmic branes in AdS/BCFT