Holographic Entanglement Entropy: An Overview

Abstract

In this article, we review recent progresses on the holographic understandings of the entanglement entropy in the AdS/CFT correspondence. After reviewing the general idea of holographic entanglement entropy, we will explain its applications to confinement/deconfinement phase transitions, black hole entropy and covariant formulation of holography.

52 pages, Invited review article for a special issue "Entanglement entropy in extended quantum systems" in Journal of Physics A, edited by P.Calabrese, J. Cardy and B. Doyon; (v2) references added

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• Extracting spacetimes using the AdS/CFT conjecture
• Holographic Entanglement Entropy at Finite Temperature
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• On generalized gravitational entropy, squashed cones and holography
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• Particle Number Fluctuations, Rényi and Symmetry-resolved Entanglement Entropy in Two-dimensional Fermi Gas from Multi-dimensional Bosonization
• Entanglement of Local Operators in large N CFTs
• Bulk Emergence and the RG Flow of Entanglement Entropy
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• Entanglement wedge cross section for noncommutative Yang-Mills theory
• Geometric entanglement in integer quantum Hall states
• Entanglement Entropy of Excited States in the Quantum Lifshitz Model
• Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators
• Complexity growth in Gubser-Rocha models with momentum relaxation
• Entanglement in Cosmology
• On holographic entanglement entropy of non-local field theories
• Dual Geometry of Entanglement Entropy via Deep Learning
• Circuit Complexity in ${\mathcal{Z}}_2$ $\mathcal{EEF}\mathcal{T}$
• Entanglement Entropy and Variational Methods: Interacting Scalar Fields
• Entanglement entropy in scalar field theory and ${\mathbb{Z}}_M$ gauge theory on Feynman diagrams
• Correlation Measure Equivalence in Dynamic Causal Structures of Quantum Gravity
• Covariant holographic negativity from the entanglement wedge in AdS${}_3/$CFT${}_2$
• Wilsonian Effective Action and Entanglement Entropy
• Entropic force in black hole binaries and its Newtonian limits
• Probing Critical Surfaces in Momentum Space Using Real-Space Entanglement Entropy: Bose versus Fermi
• Quantum Correction of the Wilson Line and Entanglement Entropy in the Pure AdS${}_3$ Einstein Gravity Theory
• Holographic fluids: a thermodynamic road to quantum physics
• Quantum decoherence in the entanglement entropy of a composite particle and its relationship to coarse graining in the Husimi function
• Bounding Entanglement Entropy Using Zeros of Local Correlation Matrices
• What's the Point? Hole-ography in Poincare AdS
• Black hole collapse and democratic models
• Thermodynamical property of entanglement entropy and deconfinement phase transition
• Towards an Entanglement Measure for Mixed States in CFTs Based on Relative Entropy
• The BTZ black hole with a time-dependent boundary
• Holographic Rényi entropy for two-dimensional N=(1,1) superconformal field theory
• Corrections to holographic entanglement plateau
• Entanglement entropy, horizons and holography
• Complexity Growth Following Multiple Shocks
• Holographic entanglement entropy of the near horizon 1/4 BPS F-D$p$ bound states
• Entanglement Entropy in Excited States of the Quantum Lifshitz Model
• Area Law Violations and Quantum Phase Transitions in Modified Motzkin Walk Spin Chains
• Finite temperature negativity Hamiltonians of the massless Dirac fermion
• Kutasov-like duality from D5-branes wrapping hyperbolic cycles
• A note on holographic subregion complexity and QCD phase transition
• Entanglement of scales as a possible mechanism for decoherence and thermalization in relativistic heavy ion collisions
• Entanglement Entropy: Non-Gaussian States and Strong Coupling
• Holographic Entanglement negativity in flat space generalized minimal massive gravity
• Holographic subregion complexity of a 1+1 dimensional $p$-wave superconductor
• AdS to dS phase transition mediated by thermalon in Einstein-Gauss-Bonnet gravity from Renyi statistics
• Entanglement Entropy of Local Operators in Quantum Lifshitz Theory
• On minimal entanglement wedge cross section for holographic entanglement negativity
• The entanglement spectrum and Rényi entropies of non-relativistic conformal fermions
• Holographic Entanglement Entropy of Anisotropic Minimal Surfaces in LLM Geometries
• Holographic Approach to Entanglement Entropy in Disordered Systems
• Holographic Entanglement Entropy, Subregion Complexity and Fisher Information metric of `black' Non-SUSY D3 Brane
• Information-theoretic foundations of thermodynamics in general probabilistic theories
• Time-dependent quantum correlations in two-dimensional expanding spacetime
• Probes of holographic thermalization in a simple model with momentum relaxation
• Complexity and uncomplexity during energy injection
• Holographic entropy production in a Bjorken expanding hot and dense strongly coupled quantum fluid
• Replica Trick Calculation for Entanglement Entropy of Static Black Hole Spacetimes
• Entanglement and Topology in RG Flows Across Dimensions: Caps, Bridges and Corners
• New Torsional Deformations of Locally AdS${}_3$ Space
• Holographic Rényi Entropy and Generalized Entropy method
• Entanglement Entropy and Thermal Phase Transitions from Curvature Singularities
• Entanglement entropy from the holographic stress tensor
• Probing AdS Wormholes by Entanglement Entropy
• Multipartite Entanglement and Firewalls
• Corrections to de Sitter entropy through holography
• A New Paradigm for Topological or Rotational Non-Abelian Gauge Fields from Einstein-Skyrme Holography
• Mixed state information theoretic measures in boosted black brane
• Holographic entanglement entropy and mutual information in deformed field theories at finite temperature
• Holographic complexity of hyperbolic black holes
• The mixed-state entanglement in holographic p-wave superconductor model
• Entanglement Entropy and Duality in AdS(4)
• On universal terms of holographic entanglement entropy in theories with hyperscaling violation
• Relative entropy in higher spin holography
• Static Elliptic Minimal Surfaces in AdS(4)
• Entanglement entropy for pure gauge theories in 1+1 dimensions using the lattice regularization
• Holographic time-dependent entanglement entropy in $p$-brane gas geometries
• Geometric quantum complexity of bosonic oscillator systems
• Holographic entanglement entropy and entanglement thermodynamics of `black' non-susy D3 brane
• Inverse problem of correlation functions in holography
• AdS/CFT Correspondence with a 3D Black Hole Simulator
• Topological invariants of the Ryu-Takayanagi ($RT$) surface used to observe holographic superconductor phase transition
• Entanglement in Theory Space
• Entanglement Entropy and Decoupling in the Universe
• The entanglement entropy of typical pure states and replica wormholes
• Generalized Entanglement, Charges and Intertwiners
• Entanglement of higher-derivative oscillators in holographic systems
• Entanglement entropy in a four-dimensional cosmological background
• Entanglement Entropy with Background Gauge Fields
• Non-equilibrium dynamics in Holography
• Holographic Superconductors in a Cohesive Phase
• Quantum discord and entropic measures of two relativistic fermions
• Entanglement entropy and Schmidt number as measures of delocalization of $\alpha$ clusters in one-dimensional nuclear systems
• An Operator Product Expansion for the Mutual Information in AdS/CFT
• High temperature behavior of non-local observables in boosted strongly coupled plasma: A holographic study
• Mixed state entanglement in deformed field theory at finite temperature
• Subsystem entropy in 2d CFT and KdV ETH
• Towards self dual Loop Quantum Gravity
• Entropic relations for indistinguishable quantum particles
• Entanglement structures from modified IR geometry
• Extracting Many-Body Quantum Resources within One-Body Reduced Density Matrix Functional Theory
• Entanglement entropy of spherical domains in anti-de Sitter space
• Field Space Entanglement Entropy, Zero Modes and Lifshitz Models
• Holographic entanglement entropy of the double Wick rotated BTZ black hole
• Entropy of Thermal CFTs on Curved Backgrounds
• Entanglement entropy between real and virtual particles in ${\varphi }^4$ quantum field theory
• On Classical Equivalence Between Noncritical and Einstein Gravity : The AdS/CFT Perspectives
• Symmetric Orbifolds and Entanglement Entropy for Primary Excitations in Two Dimensional CFT
• Generalized holographic complexity of rotating black holes
• Inflation as a Solution to the Early Universe Entropy Problem
• A Holographic Approach to Spacetime Entanglement
• Entangled spins and ghost-spins
• Holographic thermalization from non relativistic branes
• Holographic entanglement properties in the QCD phase diagram from EMD models
• Quantum Local Quench, AdS/BCFT and Yo-Yo String
• Vacuum densities and the Casimir forces for branes orthogonal to the AdS boundary
• The entanglement entropy of the quantum Hall edge and its geometric contribution
• The Holographic Entanglement Entropy of Schwarzschild Black Holes
• More on Holographic Volumes, Entanglement, and Complexity
• Linguistic Matrix Theory
• Comments on the T-dual of the gravity dual of D5-branes on $S^3$
• Entanglement Entropy of the Gross-Neveu Model
• A note on electromagnetic edge modes
• Properties of gapped systems in AdS/BCFT
• Compressible forced viscous fluid from product Einstein manifolds
• D3 branes in a Melvin universe: a new realm for gravitational holography
• Renyi information from entropic effects in one higher dimension
• The operator algebra of cyclic orbifolds
• Convexity of the entanglement energy of SU($2N$)-symmetric fermions with attractive interactions
• Entanglement entropy in a holographic p-wave superconductor model
• Holographic entanglement entropy and complexity of microstate geometries
• Hamilton-Jacobi formulation of holographic Entanglement Entropy
• On a new relation between entanglement and geometry from M(atrix) theory
• Holographic entanglement entropy beyond coherent states
• Holographic RG flow triggered by a classically marginal operator
• Smooth Entropy Transfer of Quantum Gravity Information Processing
• On the Holographic Entanglement Entropy for Non-smooth Entangling Curves in AdS(4)
• Entanglement entropy between virtual and real excitations in quantum electrodynamics
• Quantum Holographic Entanglement Entropy to All Orders in $1/N$ Expansion
• On the Complexity of a Charged Quantum Oscillator
• On the foundations of quantum theory
• Detecting many-body entanglements in noninteracting ultracold atomic fermi gases
• Holographic Mutual Information of Two Disjoint Spheres
• Ratio of critical quantities related to Hawking temperature-entanglement entropy criticality
• Entanglement Entropy for D3-, M2- and M5-brane backgrounds
• Entanglement entropy and Wilson loop
• HEE and HSC for flavors: perturbative structure in open string geometries
• Entanglement entropy of cosmological perturbations for S-brane Ekpyrosis
• Projective approach to the entanglement entropy of 1-$d$ fermions
• Emergent gauge fields and their nonperturbative effects in correlated electrons
• Entanglement entropy evolution during gravitational collapse
• Scalar filed evolution and area spectrum for Lovelock-AdS black holes
• Geometric Flow Description of Minimal Surfaces
• Flavors of entanglement
• Entanglement at the Soft-Hair Horizon
• Schwarzschild Black Holes and Asymptotic $Ad{S}_2$
• On the AdS/CFT correspondence and quantum entanglement
• Holographic approach to thermalization in general anisotropic theories
• Inflation from entropy
• Entanglement Entropy and Thermodynamics of Dynamical Black Holes
• Resource and stability near a critical point from the quantum information perspective
• Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling
• Total and Symmetry resolved Entanglement spectra in some Fermionic CFTs from the BCFT approach
• Holographic Entanglement Entropy for Excited States in Two Dimensional CFT
• Non-local Probes in Holographic Theories with Momentum Relaxation
• Exact Solvability Of Entanglement For Arbitrary Initial State in an Infinite-Range Floquet System
• Spherically symmetric black holes in Gravity from Entropy and spontaneous emission
• Game Theory in Cosmology
• Thermal Correction to Entanglement Spectrum for Conformal Field Theories
• Non-relativistic entanglement entropy from Horava gravity
• A Holographic Two-Impurity Kondo Model
• Holographic entanglement negativity for disjoint subsystems in $\mathrm{Ad}{\mathrm{S}}_{\mathrm{d}+1}/CF{\mathrm{T}}_{\mathrm{d}}$
• Towards Entanglement Entropy of Random Large-N Theories
• Mutual information and holographic entanglement entropy for strongly-coupled R-charged plasmas
• How is the Presence of Horizons and Localized Matter Encoded in the Entanglement Entropy?
• Holographic entanglement negativity for a single subsystem in conformal field theories with a conserved charge
• Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries
• Holographic Entanglement Entropy for noncommutative Anti-de Sitter space
• Holographic entanglement entropy for relativistic hydrodynamic flows
• AdS/CFT without holography: A hidden dimension on the CFT side and implications for black-hole entropy
• Entanglement entropy of a simple quantum system
• $2$-Rényi CCNR Negativity of Compact Boson for multiple disjoint intervals
• A universal approach to Renyi entropy of multiple disjoint intervals
• Entanglement Suppression Due to Black Hole Scattering
• Thermodynamic Split Conjecture and an Observational Test for Cosmological Entropy
• Cosmological Implications of Thermodynamic Split Conjecture
• Entanglement Entropy and Complexity of Multicomponent Universe from Holography
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• Holographic Subregion Complexity and Fidelity Susceptibility in Noncommutative Yang--Mills Theory
• Higher-curvature Corrections to Holographic Entanglement with Momentum Dissipation
• Electromagnetic Wightman functions and vacuum densities for a brane intersecting the AdS boundary
• Replica wormhole and AMPS firewall
• Emergent geometry through quantum entanglement in Matrix theories
• Non-perturbative Aspects of Quantum Field Theories from Holography
• De Sitter entropy as holographic entanglement entropy
• Emergent gravity from patterns in natural numbers
• Quantum Information Approaches to Quantum Gravity
• Entanglement and Excitations in Gauge/Gravity Duality
• Non-equilibrium phase and entanglement entropy in 2D holographic superconductors via Gauge-String duality
• Intrinsic Entropy of Squeezed Quantum Fields and Nonequilibrium Quantum Dynamics of Cosmological Perturbations
• A Information-Theoretic View on Spacetime
• Entanglement Temperature With Gauss-Bonnet Term
• The Influence of Angular Momentum and Chemical Potential on Holographic Entanglement Entropy
• Is monogamy of entanglement geometrical?
• Emergence of cosmological Friedmann equations from quantum entanglement
• Computing Black Hole Entropy at Infinity
• Quantum information measures and their applications in quantum field theory
• Black Hole Entropy from Entropy of Hawking Radiation
• Conformal defects in supergravity - backreacted Dirac delta sources
• On Emergent Geometry from Entanglement Entropy in Matrix theory
• Bulk entanglement and its shape dependence
• Rényi negativities in non-equilibrium open free-boson chains