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.

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

References in corpus (14)

• Thermodynamical Property of Entanglement Entropy for Excited States
• Some Aspects of Entanglement Wedge Cross-Section
• Holographic entanglement negativity and replica symmetry breaking
• Balanced Partial Entanglement and the Entanglement Wedge Cross Section
• Special limits and non-relativistic solutions
• Excited state entanglement in one dimensional quantum critical systems: Extensivity and the role of microscopic details
• Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories
• Reflected entropy for free scalars
• Evolution of Entanglement Wedge Cross Section Following a Global Quench
• Holographic study of entanglement and complexity for mixed states
• AdS plane waves, entanglement and mutual information
• 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

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