AdS plane waves, entanglement and mutual information

Abstract

$AdS$ plane wave backgrounds are dual to CFT excited states with energy momentum density $T_{++}=Q$. Building on previous work on entanglement entropy in these and nonconformal brane plane wave backgrounds, we first describe a phenomenological scaling picture for entanglement in terms of "entangling partons". We then study aspects of holographic mutual information in these backgrounds for two strip shaped subsystems, aligned parallel or orthogonal to the flux. We focus on the wide ($Q{l}^d\gg 1$) and narrow ($Q{l}^d\ll 1$) strip regimes. In the wide strip regime, mutual information exhibits growth with the individual strip sizes and a disentangling transition as the separation between the strips increases, whose behaviour is distinct from the ground and thermal states. In the narrow strip case, our calculations have parallels with "entanglement thermodynamics" for these $AdS$ plane wave deformations. We also discuss some numerical analysis.

arXiv commentLatex, 28pgs, 5 eps figs, v2: minor modifications

References in corpus (45)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Aspects of Holographic Entanglement Entropy
• Entropy and Area
• A Covariant Holographic Entanglement Entropy Proposal
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• Gravity Duals of Lifshitz-like Fixed Points
• Quantum corrections to holographic entanglement entropy
• Holographic Entanglement Entropy: An Overview
• Area laws in quantum systems: mutual information and correlations
• Entanglement Renyi entropies in holographic theories
• Effective Holographic Theories for low-temperature condensed matter systems
• Gravitation from Entanglement in Holographic CFTs
• Hidden Fermi surfaces in compressible states of gauge-gravity duality
• Non-relativistic holography
• Gravitational Dynamics From Entanglement "Thermodynamics"
• Relative Entropy and Holography
• Aspects of holography for theories with hyperscaling violation
• Holography of Charged Dilaton Black Holes
• Comments on string theory backgrounds with non-relativistic conformal symmetry
• Entanglement and alpha entropies for a massive Dirac field in two dimensions
• Thermodynamical Property of Entanglement Entropy for Excited States
• Generalized Holographic Quantum Criticality at Finite Density
• Entanglement Temperature and Entanglement Entropy of Excited States
• Holographic Fermi Surfaces and Entanglement Entropy
• Holographic Local Quenches and Entanglement Density
• Remarks on the entanglement entropy for disconnected regions
• Entanglement Entropy from a Holographic Viewpoint
• Holographic Fermi and Non-Fermi Liquids with Transitions in Dilaton Gravity
• Comments on quantum gravity and entanglement
• Lifshitz Solutions of D=10 and D=11 supergravity
• Entanglement and alpha entropies for a massive scalar field in two dimensions
• Lifshitz spacetimes from AdS null and cosmological solutions
• Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime
• On Lifshitz scaling and hyperscaling violation in string theory
• Holographic Mutual Information at Finite Temperature
• Domain Wall Holography for Finite Temperature Scaling Solutions
• Lifshitz/Schrödinger D-p-branes and dynamical exponents
• Hyperscaling violation from supergravity
• Special limits and non-relativistic solutions
• Holographic entanglement entropy probes (non)locality
• Entanglement Thermodynamics
• Mutual information and the structure of entanglement in quantum field theory
• AdS plane waves and entanglement entropy
• Non-conformal brane plane waves and entanglement entropy
• AdS null deformations with inhomogeneities

Cited by in corpus (13)

• Higher-point conformal blocks and entanglement entropy in heavy states
• On the Time Evolution of Holographic n-partite Information
• Entanglement Wedge Cross Section in Holographic Excited States
• The Effect of Anisotropy on Holographic Entanglement Entropy and Mutual Information
• Hyperscaling violation and the shear diffusion constant
• On $Ad{S}_2$ holography from redux, renormalization group flows and $c$-functions
• On a lightlike limit of entanglement
• Entanglement entropy and the first law at third order for boosted black branes
• Classification of certain asymptotically AdS space-times with Ricci-flat boundary
• High temperature behavior of non-local observables in boosted strongly coupled plasma: A holographic study
• Notes on hyperscaling violating Lifshitz and shear diffusion
• Quantum correlation in quark-gluon medium
• HEE and HSC for flavors: perturbative structure in open string geometries