On Geometric Entropy

Abstract

We show that a geometrical notion of entropy, definable in flat space, governs the first quantum correction to the Bekenstein-Hawking black hole entropy. We describe two methods for calculating this entropy -- a straightforward Hamiltonian approach, and a less direct but more powerful Euclidean (heat kernel) method. The entropy diverges in quantum field theory in the absence of an ultraviolet cutoff. Various related finite quantities can be extracted with further work. We briefly discuss the corresponding question in string theory.

14 pages, no figures, REVTEX, IASSNS-HEP 93/87 - Some corrections made

References in corpus (2)

• Entropy and Area
• String Theory and the Principle of Black Hole Complementarity

Cited by in corpus (605)

• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Area laws for the entanglement entropy - a review
• Entanglement in quantum critical phenomena
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Geometric and Renormalized Entropy in Conformal Field Theory
• Eternal Black Holes in AdS
• Towards a derivation of holographic entanglement entropy
• Generalized gravitational entropy
• Replica Wormholes and the Entropy of Hawking Radiation
• Thermodynamical Aspects of Gravity: New insights
• Quantum corrections to holographic entanglement entropy
• Time Evolution of Entanglement Entropy from Black Hole Interiors
• Quantum entanglement in condensed matter systems
• The Thermodynamics of Black Holes
• Reduced density matrices and entanglement entropy in free lattice models
• Area laws in quantum systems: mutual information and correlations
• Entanglement entropy in free quantum field theory
• Holographic c-theorems in arbitrary dimensions
• Gravity and the Thermodynamics of Horizons
• Notes on Some Entanglement Properties of Quantum Field Theory
• Entanglement entropy of black holes
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• A finite entanglement entropy and the c-theorem
• On the RG running of the entanglement entropy of a circle
• Quantum Entanglement in Neural Network States
• Entropy, entanglement, and area: analytical results for harmonic lattice systems
• New Trends in Density Matrix Renormalization
• Entanglement entropy of two disjoint intervals in conformal field theory II
• A Quantum Focussing Conjecture
• Entanglement entropy, conformal invariance and extrinsic geometry
• Bipartite entanglement and entropic boundary law in lattice spin systems
• Entanglement and alpha entropies for a massive Dirac field in two dimensions
• Black Hole Entropy and Entropy of Entanglement
• Entanglement negativity in extended systems: A field theoretical approach
• The Conical Singularity And Quantum Corrections To Entropy Of Black Hole
• Entanglement entropy for the long range Ising chain
• Tensor network states and geometry
• A refinement of entanglement entropy and the number of degrees of freedom
• On the Description of the Riemannian Geometry in the Presence of Conical Defects
• Ground state entanglement and geometric entropy in the Kitaev's model
• Quantum Fields and Extended Objects in Space-Times with Constant Curvature Spatial Section
• Generalized entropy and higher derivative Gravity
• Does a single eigenstate encode the full Hamiltonian?
• Entanglement hamiltonians in two-dimensional conformal field theory
• Holographic Calculations of Renyi Entropy
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Entanglement renormalization for quantum fields
• Decomposition of entanglement entropy in lattice gauge theory
• Black hole thermodynamics and information loss in two dimensions
• Black Hole Entropy without Brick Walls
• Matrix product simulations of non-equilibrium steady states of quantum spin chains
• An entanglement-area law for general bosonic harmonic lattice systems
• Universal terms for the entanglement entropy in 2+1 dimensions
• Entanglement entropy in gauge theories and the holographic principle for electric strings
• Entanglement entropy of electromagnetic edge modes
• Proof of the Quantum Null Energy Condition
• Topological Entanglement Entropy in Chern-Simons Theories and Quantum Hall Fluids
• DeSitter entropy, quantum entanglement and ADS/CFT
• Renormalization of Black Hole Entropy and of the Gravitational Coupling Constant
• Evolution of entanglement after a local quench
• Equipartition of the Entanglement Entropy
• Entanglement scaling in critical two-dimensional fermionic and bosonic systems
• Entanglement entropy in de Sitter space
• Vacuum States for AdS_2 Black Holes
• Islands in Schwarzschild black holes
• Thermal Fields, Entropy, and Black Holes
• Continuous variable entanglement sharing in non-inertial frames
• Spatial structures and localization of vacuum entanglement in the linear harmonic chain
• On one-loop renormalization of black-hole entropy
• Entanglement entropy and nonabelian gauge symmetry
• Geometric entropy and edge modes of the electromagnetic field
• Entanglement entropy for the n-sphere
• On "Non-Geometric" Contribution To The Entropy Of Black Hole Due To Quantum Corrections
• Local phase space and edge modes for diffeomorphism-invariant theories
• Entanglement and alpha entropies for a massive scalar field in two dimensions
• A c-theorem for the entanglement entropy
• Entanglement Entropy and Twist Fields
• Mechanism of Generation of Black Hole Entropy in Sakharov's Induced Gravity
• Holographic evolution of the mutual information
• Edge states in Gravity and Black Hole Physics
• Universal entanglement entropy in 2D conformal quantum critical points
• Entanglement negativity and topological order
• Some Calculable Contributions to Entanglement Entropy
• Entropies of Scalar Fields on Three Dimensional Black Holes
• Conical geometry and quantum entropy of a charged Kerr black hole
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• A General Proof of the Quantum Null Energy Condition
• Entanglement and symmetry resolution in two dimensional free quantum field theories
• Harvesting Entanglement from the Black Hole Vacuum
• Critical and noncritical long range entanglement in the Klein-Gordon field
• Statistical Origin of Black Hole Entropy in Induced Gravity
• Entropy on a null surface for interacting quantum field theories and the Bousso bound
• Quantum-corrected self-dual black hole entropy in tunneling formalism with GUP
• Measuring entanglement using quantum quenches
• Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
• One-loop Renormalization of Black Hole Entropy Due to Non-minimally Coupled Matter
• On short interval expansion of Rényi entropy
• Entanglement Entropy beyond the Free Case
• On the reduced density matrix for a chain of free electrons
• Entanglement entropy in collective models
• On the Entropy of a Quantum Field in the Rotating Black Holes
• Holographic Holes and Differential Entropy
• Entanglement through conformal interfaces
• Spectral Geometry and One-loop Divergences on Manifolds with Conical Singularities
• Entanglement contour
• Thermodynamics of Quantum Fields in Black Hole Backgrounds
• Black holes, brick walls and the Boulware state
• Degradation of non-maximal entanglement of scalar and Dirac fields in non-inertial frames
• Finite correlation length scaling with infinite projected entangled-pair states
• Strings on a Cone and Black Hole Entropy
• Corner contributions to holographic entanglement entropy
• Statistics dependence of the entanglement entropy
• Entanglement Entropy: A Perturbative Calculation
• Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy
• Local temperatures and local terms in modular Hamiltonians
• Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations
• Islands and stretched horizon
• Entanglement entropy of black holes and AdS/CFT correspondence
• Disentangling Theorem and Monogamy for Entanglement Negativity
• Geometric entropy, area, and strong subadditivity
• Negativity spectrum of one-dimensional conformal field theories
• Symmetry resolved entanglement in integrable field theories via form factor bootstrap
• Entanglement entropy of the black hole horizon
• Tachyon Condensation and Black Hole Entropy
• Dynamics of entanglement in expanding quantum fields
• Universality of Entanglement and Quantum Computation Complexity
• Entanglement entropies in free fermion gases for arbitrary dimension
• Universality in the geometric dependence of Renyi entropy
• Black hole entropy: statistical mechanics agrees thermodynamics
• Holographic Rényi entropy for CFT with $W$ symmetry
• Cones, Spins and Heat Kernels
• A simple fermionic model of deconfined phases and phase transitions
• Entangling detectors in anti-de Sitter space
• Loop Quantum Gravity, Exact Holographic Mapping, and Holographic Entanglement Entropy
• Bekenstein-Hawking Entropy as Topological Entanglement Entropy
• Black Hole Entropy: Off-Shell vs On-Shell
• On Spacetime Entanglement
• Near-Thermal Radiation in Detectors, Mirrors and Black Holes: A Stochastic Approach
• Twist operators in higher dimensions
• Entanglement generation in periodically driven integrable systems: dynamical phase transitions and steady state
• Entanglement Entropy in Critical Phenomena and Analogue Models of Quantum Gravity
• U(1) symmetry resolved entanglement in free 1+1 dimensional field theories via form factor bootstrap
• Entanglement entropy for a Dirac fermion in three dimensions: vertex contribution
• Holographic entanglement entropy: near horizon geometry and disconnected regions
• Entanglement Entropy for Relevant and Geometric Perturbations
• Entanglement Content of Quasi-Particle Excitations
• Bi-partite entanglement entropy in massive QFT with a boundary: the Ising model
• Entanglement entropy in a boundary impurity model
• Entanglement entropy of two disjoint intervals from fusion algebra of twist fields
• Entropy of Reissner-Nordstrom Black Holes with Minimal Length Revisited
• Scaling of variational quantum circuit depth for condensed matter systems
• Entanglement entropy in curved spacetimes with event horizons
• Black Hole Entropy in the O(N) Model
• Observations on entanglement entropy in massive QFT's
• Quantum noise and entanglement generated by a local quantum quench
• Do gauge fields really contribute negatively to black hole entropy?
• Entanglement in Relativistic Quantum Field Theory
• Entanglement equilibrium for higher order gravity
• Wormhole calculus, replicas, and entropies
• Towards entanglement negativity of two disjoint intervals for a one dimensional free fermion
• Branch Point Twist Field Form Factors in the sine-Gordon Model II: Composite Twist Fields and Symmetry Resolved Entanglement
• Quantum phase transition from bounded to extensive entanglement entropy in a frustration-free spin chain
• Entanglement Entropy in Scalar Field Theory
• Entanglement Renyi negativity across a finite temperature transition: a Monte Carlo study
• Corner contributions to holographic entanglement entropy in AdS4/BCFT3
• Spin structures and entanglement of two disjoint intervals in conformal field theories
• Bi-partite entanglement entropy in massive 1+1-dimensional quantum field theories
• Strings Near a Rindler Or Black Hole Horizon
• Exact entanglement entropy of the XYZ model and its sine-Gordon limit
• Adiabatic quantum computation and quantum phase transitions
• Entanglement Interpretation of Black Hole Entropy in String Theory
• Entanglement Entropy as a Portal to the Physics of Quantum Spin Liquids
• Entanglement hamiltonians in 1D free lattice models after a global quantum quench
• Effective Theory and Breakdown of Conformal Symmetry in a Long-Range Quantum Chain
• Disk entanglement entropy for a Maxwell field
• Branch Point Twist Field Correlators in the Massive Free Boson Theory
• The Entropy of a Quantum Field in a Charged Kerr Black Hole
• On entanglement hamiltonians of an interval in massless harmonic chains
• Gravitational effective action and entanglement entropy in UV modified theories with and without Lorentz symmetry
• Holographic entanglement entropy probes (non)locality
• Scaling of entanglement entropy in the (branching) multi-scale entanglement renormalization ansatz
• Entanglement negativity in a two dimensional harmonic lattice: Area law and corner contributions
• Entropy, Contact Interaction with Horizon and Dark Energy
• Entangled de Sitter from Stringy Axionic Bell pair I: An analysis using Bunch Davies vacuum
• Islands in Kaluza-Klein black holes
• What is the Entropy in Entropic Gravity?
• Area law and vacuum reordering in harmonic networks
• Experimental verification of the area law of mutual information in a quantum field simulator
• Renormalization of Entanglement Entropy and the Gravitational Effective Action
• Conformal Description of Near-Horizon Vacuum States
• Quantum entanglement in de Sitter space from Stringy Axion: An analysis using $\alpha$ vacua
• Holographic Entanglement Entropy of Multiple Strips
• Explicit Hamiltonians Inducing Volume Law for Entanglement Entropy in Fermionic Lattices
• Towards Entanglement of Purification for Conformal Field Theories
• Numerical determination of entanglement entropy for a sphere
• De Sitter and Schwarzschild-De Sitter According to Schwarzschild and De Sitter
• A path integral Monte Carlo method for Rényi entanglement entropies
• Two-dimensional Quantum-Corrected Eternal Black Hole
• Gapless quantum spin chains: multiple dynamics and conformal wavefunctions
• Entanglement Entropy of Non-Unitary Integrable Quantum Field Theory
• Entanglement of two blocks of spins in the critical Ising model
• Renyi entropy, stationarity, and entanglement of the conformal scalar
• Scaling of Entanglement Entropy at 2D quantum Lifshitz fixed points and topological fluids
• Horizon divergences of Fields and Strings in Black Hole backgrounds
• Heat-kernel Coefficients and Spectra of the Vector Laplacians on Spherical Domains with Conical Singularities
• Entanglement harvesting in the presence of a reflecting boundary
• The holographic supersymmetric Renyi entropy in five dimensions
• Entanglement entropy, planar surfaces, and spectral functions
• Dipolar quantization and the infinite circumference limit of two-dimensional conformal field theories
• Permutation operators, entanglement entropy, and the XXZ spin chain in the limit Δ-> -1
• Can the entanglement entropy be the origin of black-hole entropy ?
• Evolution of entanglement entropy in the D1-D5 brane system
• Geometric temperature and entropy of quantum isolated horizons
• Bi-partite entanglement entropy in integrable models with backscattering
• On Vacuum Fluctuations in Quantum Gravity and Interferometer Arm Fluctuations
• Mutual information challenges entropy bounds
• Entanglement entropy in particle decay
• Symmetry Resolved Entanglement of Excited States in Quantum Field Theory I: Free Theories, Twist Fields and Qubits
• Entanglement Content of Quantum Particle Excitations II. Disconnected Regions and Logarithmic Negativity
• Operator content of entanglement spectra after global quenches in the transverse field Ising chain
• Quantum black hole entropy and Newton constant renormalization
• Heat kernels and thermodynamics in Rindler space
• Notes on Entanglement in Abelian Gauge Theories
• Gauge-invariant Variables and Entanglement Entropy
• Negativity spectrum in 1D gapped phases of matter
• Entanglement Content of Quantum Particle Excitations I. Free Field Theory
• Entanglement Entropy in Quantum Gravity and the Plateau Problem
• Finite Temperature Effects for Massive Fields in D-dimensional Rindler-like Spaces
• Finite Black Hole Entropy and String Theory
• Entanglement Entropy in 2D Non-abelian Pure Gauge Theory
• Entanglement entropies of inhomogeneous Luttinger liquids
• Monodromy Defects in Free Field Theories
• ONE-LOOP QUANTUM CORRECTIONS TO THE ENTROPY FOR A 4-DIMENSIONAL ETERNAL BLACK HOLE
• Gravitation and vacuum entanglement entropy
• Eigenstate entanglement: Crossover from the ground state to volume laws
• Euclidean Approach to the Entropy for a Scalar Field in Rindler-like Space-Times
• Entanglement Entropy in Non-Relativistic Field Theories
• Open Quantum Systems in Noninertial Frames
• Non-minimal coupling and quantum entropy of black hole
• Imprint of entanglement entropy in the power spectrum of inflationary fluctuations
• Structure of Quantum Entanglement at a Finite Temperature Critical Point
• An Uneventful Horizon in Two Dimensions
• Quantum Entanglement and Thermal Reduced Density Matrices in Fermion and Spin Systems on Ladders
• Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings
• Holographic Rényi Entropies at Finite Coupling
• Entanglement Entropy Flow and the Ward Identity
• Entanglement entropy production in gravitational collapse: covariant regularization and solvable models
• Black hole entanglement entropy and the renormalization group
• Entanglement entropy from entanglement contour: higher dimensions
• Entropy and black hole horizons
• Entanglement entropies of the $J_1-J_2$ Heisenberg antiferromagnet on the square lattice
• Thermodynamics from relative entropy
• Gravity from entropy
• A hybrid Monte Carlo approach to the entanglement entropy of interacting fermions
• Two-cylinder entanglement entropy under a twist
• The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
• Positivity, entanglement entropy, and minimal surfaces
• Survival of entanglement in thermal states
• On the Architecture of Spacetime Geometry
• Multi-charged moments of two intervals in conformal field theory
• Heat kernel methods for Lifshitz theories
• Short interval expansion of Rényi entropy on torus
• The entropy of an acoustic black hole in Bose-Einstein condensates
• Quantum Corrections to Black Hole Entropy in String Theory
• Black hole entropy divergence and the uncertainty principle
• Holographic Calculation for Large Interval Rényi Entropy at High Temperature
• On shape dependence of holographic entanglement entropy in AdS4/CFT3
• On holographic entanglement entropy of Horndeski black holes
• Quantum entanglement entropy and classical mutual information in long-range harmonic oscillators
• Holographic Mutual Information for Singular Surfaces
• Renormalization group flow of entanglement entropy on spheres
• Information loss in effective field theory: entanglement and thermal entropies
• Entropy localization and extensivity in the semiclassical black hole evaporation
• Holographic Rényi entropy in AdS${}_3$/LCFT${}_2$ correspondence
• Newton constant, contact terms and entropy
• Note on Rényi entropy of 2D perturbed free fermions
• Entanglement Spheres and a UV-IR connection in Effective Field Theories
• Entanglement and Thermal Entropy of Gauge Fields
• q-Deformed de Sitter/Conformal Field Theory Correspondence
• Analytic results on the geometric entropy for free fields
• Condensation of an ideal gas with intermediate statistics on the horizon
• Entanglement thermodynamics for charged black holes
• Universal relation between thermal entropy and entanglement entropy in CFT
• Area Law for Gapless States from Local Entanglement Thermodynamics
• Gapless chiral spin liquid from coupled chains on the kagome lattice
• Vacuum Boundary Effects
• Entanglement Content of Quantum Particle Excitations III. Graph Partition Functions
• Generalized entanglement entropy
• Entropy and Correlators in Quantum Field Theory
• Quantum entanglement in states generated by bilocal group algebras
• Universal Behavior of Entanglement in 2D Quantum Critical Dimer Models
• Large Field Inflation and Gravitational Entropy
• Entanglement entropy, black holes and holography
• Finite-size Gap, Magnetization, and Entanglement of Deformed Fredkin Spin Chain
• On the Entropy of a Quantum Field in the 2 + 1 Dimensional Spinning Black Holes
• Finite entanglement entropy from the zero-point-area of spacetime
• On one-loop entanglement entropy of two short intervals from OPE of twist operators
• Extracting entanglement geometry from quantum states
• Boundary effects in entanglement entropy
• On the continuum limit of the entanglement Hamiltonian of a sphere for the free massless scalar field
• Statistical Mechanics on Axially-symmetric Space-times with the Killing Horizon and Entropy of Rotating Black Holes in Induced Gravity
• Corrections to universal Rényi entropy in quasiparticle excited states of quantum chains
• One-dimensional quantum systems at finite temperatures can be simulated efficiently on classical computers
• Entanglement entropy of excited states in conformal perturbation theory and the Einstein equation
• Refined Holographic Entanglement Entropy for the AdS Solitons and AdS black Holes
• Quantum-corrected two-dimensional Horava-Lifshitz black hole entropy
• One-loop Quantum Corrections to the Entropy for an Extremal Reissner-Nordström Black Hole
• Entanglement Entropy on Fuzzy Spaces
• Entropy of a subalgebra of observables and the geometric entanglement entropy
• Second law of thermodynamics for relativistic fluids formulated with relative entropy
• Scaling of entanglement in $2+1$-dimensional scale-invariant field theories
• Comments on Defining Entanglement Entropy
• Entanglement Entropy in Generalised Quantum Lifshitz Models
• Superhorizon entanglement entropy from particle decay in inflation
• Proof of the quantum null energy condition for free fermionic field theories
• Entanglement of two disjoint intervals in conformal field theory and the 2D Coulomb gas on a lattice
• Entanglement of magnon excitations in spin chains
• Large Interval Limit of Rényi Entropy At High Temperature
• Critical light-matter entanglement at cavity mediated phase transition
• Entanglement between Valence and Sea Quarks in Hadrons of 1+1 Dimensional QCD
• Gravity duals of boundary cones
• Target Space Entanglement Entropy
• Entanglement Entropy of ($2+1$)-Dimensional SU(2) Lattice Gauge Theory on Plaquette Chains
• Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation
• Comments on entanglement entropy
• Remarks on Thermal Strings outside Black Holes
• Entanglement Entropy of Disjoint Regions in Excited States : An Operator Method
• Entanglement entropy and the Ricci flow
• Entanglement and negativity Hamiltonians for the massless Dirac field on the half line
• On the Monogamy of Holographic $n$-partite Information
• Retrieving the lost fermionic entanglement by partial measurement in noninertial frames
• Entanglement Entropy and Mutual Information of Circular Entangling Surfaces in 2 + 1-dimensional Quantum Lifshitz Model
• Finite Entanglement Entropy in Asymptotically Safe Quantum Gravity
• Note on Chern-Simons Term Correction to Holographic Entanglement Entropy
• Logarithmic terms in entropy of Schwarzschild black holes in higher loops
• Conical Twist Fields and Null Polygonal Wilson Loops
• Eigenstate entanglement scaling for critical interacting spin chains
• Optical Approach for the Thermal Partition Function of Photons
• On the Entanglement Between Interacting Scalar Field Theories
• On Holographic Entanglement Entropy with Second Order Excitations
• Rényi Entropy of Free Compact Boson on Torus
• Toward One-Loop Tunneling Rates of Near-Extremal Magnetic Black Hole Pair-Production
• Self-forces in the Spacetime of Multiple Cosmic Strings
• Rényi entropy and negativity for massless Dirac fermions at conformal interfaces and junctions
• Entanglement in Fermionic Chains and Bispectrality
• Zero modes and divergence of entanglement entropy
• Entanglement entropy for non-coplanar regions in quantum field theory
• Unitarity of Maxwell theory on curved spacetimes in the covariant formalism
• Expectation values of twist fields and universal entanglement saturation of the free massive boson
• Disentangling the gravity dual of Yang-Mills theory
• Heat kernel: proper time method, Fock-Schwinger gauge, path integral representation, and Wilson line
• Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory -- I. Single-particle states
• Covariant derivative expansion of the heat kernel
• Towards entanglement entropy with UV cutoff in conformal nets
• Massive Corrections to Entanglement in Minimal E8 Toda Field Theory
• Symmetry Resolved Measures in Quantum Field Theory: a Short Review
• Black Hole and de Sitter Microstructures from a Semiclassical Perspective
• Dynamical stability of the quantum Lifshitz theory in 2+1 Dimensions
• A Comment on the Geometric Entropy and Conical Space
• Proper-time method for unequal masses
• Renormalized Thermal Entropy in Field Theory
• Page Curve for Eternal Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity
• Thermodynamics and area in Minkowski space: Heat capacity of entanglement
• Degrees of freedom in two dimensional string theory
• Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory. Part II. Multi-particle states
• Entanglement of heavy quark impurities and generalized gravitational entropy
• An Inverse Mass Expansion for Entanglement Entropy in Free Massive Scalar Field Theory
• Entanglement Entropy Renormalization for the NC scalar field coupled to classical BTZ geometry
• Page Curve and Island in EGB gravity
• The entropy of an acoustic black hole in Bose-Einstein condensates: transverse modes as a cure for divergences
• Interacting conformal scalar in a wedge
• Boundary-corner entanglement for free bosons
• Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement
• Phase diagram of Rydberg-dressed atoms on two-leg triangular ladders
• Hamiltonian thermodynamics of two-dimensional vacuum dilatonic black holes
• Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs
• The Energy Spectrum of the Membrane effective Model for Quantum Black Holes
• Entanglement measures and non-equilibrium dynamics of quantum many-body systems: a path integral approach
• Semifinite von Neumann algebras in gauge theory and gravity
• Derivative expansion of the heat kernel at finite temperature
• ADM reduction of Einstein action and black hole entropy
• Classification of Non-local Actions: Area versus Volume Entanglement Entropy
• Derivative expansion of the heat kernel in curved space
• Holographic Geometric Entropy at Finite Temperature from Black Holes in Global Anti de Sitter Spaces
• On the Shape Dependence of Entanglement Entropy
• Entanglement and RG in the $O(N)$ vector model
• Strong Coupling Expansion of the Entanglement Entropy of Yang-Mills Gauge Theories
• Sphere Renyi entropies
• Comments on the Entanglement Entropy on Fuzzy Spaces
• Multipartite entanglement and quantum Fisher information in conformal field theories
• Surface tension, hydrophobicity, and black holes: The entropic connection
• Spin-models, dynamics and criticality with atoms in tilted optical superlattices
• Transplanckian Entanglement Entropy
• Bond order via cavity-mediated interactions
• Thermodynamics of Shearing Massless Scalar Field Spacetimes is Inconsistent With the Weyl Curvature Hypothesis
• Entanglement entropy, dualities, and deconfinement in gauge theories
• The refined quantum extremal surface prescription from the asymptotic equipartition property
• Entanglement entropy and vacuum states in Schwarzschild geometry
• Entanglement entropy and correlations in loop quantum gravity
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice
• Entanglement entropy for free scalar fields in AdS
• Entanglement Thermodynamics of the Generalized Charged BTZ Black Hole
• The Physics of Information
• Entanglement entropies of an interval for the massless scalar field in the presence of a boundary
• Entanglement Entropy in Scalar Quantum Electrodynamics
• An interpretation for the entropy of a black hole
• Entropy, holography and the second law
• Quantum Fields in Hyperbolic Space-Times with Finite Spatial Volume
• Entanglement entropy in long-range harmonic oscillators
• Non-zero entropy density in the XY chain out of equilibrium
• Multipartite entanglement characterization of a quantum phase transition
• Cargese lectures on string theory with eight supercharges
• Dimensional reduction from entanglement in Minkowski space
• Entanglement sum rules in exactly solvable models
• Entanglement in Cosmology
• Entanglement Entropy of Excited States in the Quantum Lifshitz Model
• Rényi entropy and negativity for massless complex boson at conformal interfaces and junctions
• The scaling of black hole entropy in loop quantum gravity
• Varying the Unruh Temperature in Integrable Quantum Field Theories
• Entropy, topology of two-dimensional extreme black holes
• Subsystem distances between quasiparticle excited states
• On shape dependence of holographic entanglement entropy in AdS4/CFT3 with Lifshitz scaling and hyperscaling violation
• The entropic boundary law in BF theory
• On the Entanglement Entropy of Quantum Fields in Causal Sets
• Lorentzian Approach to Black Hole Thermodynamics in the Hamiltonian Formulation
• More on symmetry resolved operator entanglement
• Holographic Rényi entropy for two-dimensional N=(1,1) superconformal field theory
• Block entropy for Kitaev-type spin chains in a transverse field
• Spatial entanglement in two dimensional QCD: Renyi and Ryu-Takayanagi entropies
• Entanglement Harvesting and Quantum Discord of Alpha Vacua in de Sitter Space
• Emergent Gravity in a Holographic Universe
• Islands and Uhlmann phase: Explicit recovery of classical information from evaporating black holes
• Entropy of A Scalar Field In (3 + 1)-dimensional Taub-NUT Space-Time
• Entanglement Entropy: Non-Gaussian States and Strong Coupling
• Finite Entanglement Entropy of Black Holes
• Entropy production in Gaussian bosonic transformations using the replica method: application to quantum optics
• Relative entropic uncertainty relation for scalar quantum fields
• Area Law Violations and Quantum Phase Transitions in Modified Motzkin Walk Spin Chains
• Holographic Entanglement Entropy of the Coulomb Branch
• Subsystem complexity after a local quantum quench
• Multipartite entanglement in spin chains and the Hyperdeterminant
• Finiteness of Entanglement Entropy in Collective Field Theory
• Loschmidt echo, emerging dual unitarity and scaling of generalized temporal entropies after quenches to the critical point
• Hagedorn String Thermodynamics in Curved Spacetimes and near Black Hole Horizons
• More on spacetime thermodynamics in the light of Weyl transformations
• On the renormalization of the Gibbons-Hawking boundary term
• Spatial entanglement in interacting Bose-Einstein condensates
• Splitting a critical spin chain
• Generalized Gravitational Entropy of Interacting Scalar Field and Maxwell Field
• Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states
• Membrane Horizons: The Black Hole's New Clothes
• Entanglement entropy of two dimensional systems and holography
• Do We Understand Black Hole Entropy ?
• Modular Theory for Operator Algebra in Bounded Region of Space-Time and Quantum Entanglement
• Non-analyticity of holographic Rényi entropy in Lovelock gravity
• New views on the low-energy side of gravity
• Boundary Symmetry Breaking in CFT and the String Order Parameter
• Geometric Entropy and Curvature Coupling in Conical Spaces: zeta Function Approach
• Finite Size Scaling at the Topological Transition: Bilinear-Biquadratic Spin-1 Chain
• Resonant two-site tunnelling dynamics of bosons in a tilted optical superlattice
• Information-Probabilistic description of the Universe
• Hyperspherical entanglement entropy
• Logarithmic Corrections to the Entropy of Scalar Field in BTZ Black Hole Space-time
• Constructing entanglement wedges for Lifshitz spacetimes with Lifshitz gravity
• Instantons and Entanglement Entropy
• Scaling functions for eigenstate entanglement crossovers in harmonic lattices
• Phase diagram of 1+1D Abelian-Higgs model and its critical point
• Entropic distinguishability of quantum fields in phase space
• Quench dynamics of Rényi negativities and the quasiparticle picture
• Can One Understand Black Hole Entropy without Knowing Much about Quantum Gravity?
• Entanglement entropies and fermion signs of critical metals
• Non-locality effect on the entanglement entropy in deSitter
• Holographic Rényi entropy for two-dimensional $\mathcal{N}$=(2,2) superconformal field theory
• An Inverse Mass Expansion for the Mutual Information in Free Scalar QFT at Finite Temperature
• Conformal Enhancement of Holographic Scaling in Black Hole Thermodynamics: A Near-Horizon Heat-Kernel Framework
• Entanglement entropy of singular surfaces under relevant deformations in holography
• Renormalized entropy of entanglement in relativistic field theory
• Field Space Entanglement Entropy, Zero Modes and Lifshitz Models
• Topological Entanglement Entropy in Euclidean AdS3 via Surgery
• Evolution of capacity of entanglement and modular entropy in harmonic chains and scalar fields
• Holographic n-partite Information in Hyperscaling Violating Geometry
• A CFT description of the BTZ black hole: topology versus geometry (or thermodynamics versus statistical mechanics
• Quantum thermodynamics in the interior of a Schwarzschild B-H
• Entanglement entropy between real and virtual particles in ${\varphi }^4$ quantum field theory
• Spectral properties of critical 1+1D Abelian-Higgs model
• Entanglement entropy in lattice theories with Abelian gauge groups
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
• Near horizon OTT black hole asymptotic symmetries and soft hair
• Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models
• Entanglement Entropy of Disjoint Spacetime Intervals in Causal Set Theory
• Vacuum Structure and Boundary Renormalization Group
• Brick Walls for Black Holes in AdS/CFT
• Block entanglement and fluctuations in finite size correlated electron systems
• Radial geodesics as a microscopic origin of black hole entropy. I: Confined under the Schwarzschild horizon
• Conformal a-charge, correlation functions and conical defects
• Black Hole Entropy in Induced Gravity and Information Loss
• Entanglement Entropy and Spatial Geometry
• Entanglement subvolume law for 2D frustration-free spin systems
• Correlation function of modular Hamiltonians
• Hagedorn transition and topological entanglement entropy
• Entropy of scalar fields in 3+1 dimensional constant curvature black hole background
• Area laws and thermalization from classical entropies in a Bose-Einstein condensate
• Why the entropy of spacetime is independent of species of particles -- the species problem
• Thermodynamics of the Primordial Universe
• A Spacetime Area Law Bound on Quantum Correlations
• Thermodynamics of a Spherically Symmetric Causal Diamond in Minkowski Spacetime
• Position dependence of Nielsen complexity for the Thermofield double state
• Overlap with the Separable State and Phase Transition in the Dicke Model: Zero and Finite Temperature
• Dilaton shifts, probability measures, and decomposition
• Geometrothermodynamics for Black holes and de Sitter Space
• Entanglement Entropy of the Gross-Neveu Model
• Time Evolution after Double Trace Deformation
• Renyi information from entropic effects in one higher dimension
• Entropy estimation in a spin-1 Bose-Einstein condensate
• Mutual information and Bose-Einstein condensation
• Geometry-Information Duality: Quantum Entanglement Contributions to Gravitational Dynamics
• Asymptotic Symmetries of Rindler Space at the Horizon and Null Infinity
• Near-Horizon Geometry and the Entropy of a Minimally Coupled Scalar Field in the Schwarzschild Black Hole
• Note on non-vacuum conformal family contributions to Rényi entropy in two-dimensional CFT
• Stable remnants and quantum gravity effects in non linear electric source Culetu black hole
• Scalar Field in Massive BTZ Black Hole and Entanglement Entropy
• Entropy of Scalar Field near a Schwarzschild Black Hole Horizon
• Twisting perturbed parafermions
• Entanglement Entropy for Open Bosonic Strings on $Dp$-branes
• Relative entropy for compact Riemann surfaces
• Ambiguity in the evaluation of the effective action on the cone
• Entanglement entropy between virtual and real excitations in quantum electrodynamics
• Entanglement entropy of dispersive media from thermodynamic entropy in one higher dimension
• Entropy of Vaidya Black Hole on Apparent Horizon with Minimal length Revisited
• Convexity of the entanglement energy of SU($2N$)-symmetric fermions with attractive interactions
• Quantum Correlations in Field Theory and Integrable Systems
• Localized thermal states and negative energy
• Exact Renormalization Group, Entanglement Entropy, and Black Hole Entropy
• Out of equilibrium mean field dynamics in the transverse field Ising model
• Renormalization Group and Quantum Information
• Perturbative approach to the entanglement entropy and the area law in Fock and polymer quantization
• Dressed Minimal Surfaces in AdS${}_4$
• Measuring temporal entropies in experiments
• Entropy of Localized States and Black Hole Evaporation
• Parity-odd surface anomalies and correlation functions on conical defects
• The c-d conjecture
• Geometric Flow Description of Minimal Surfaces
• Entanglement Entropy of $(2+1)$D Quantum Critical Points with Quenched Disorder: Dimensional Reduction Approach
• Projective approach to the entanglement entropy of 1-$d$ fermions
• Relative Entropy and Mutual Information in Gaussian Statistical Field Theory
• Correlation function with the insertion of zero modes of modular Hamiltonians
• Area law of connected correlation function in higher dimensional conformal field theory
• Green's Function Approach to Entanglement Entropy on Lattices and Fuzzy Spaces
• Non-trivial saddles in microscopic description of black holes
• Entanglement entropy in low-energy field theories at finite chemical potential
• Multipoint entanglement in disordered systems
• Entanglement Entropy and Thermodynamics of Dynamical Black Holes
• Entanglement entropy due to near horizon degrees of freedom
• Entanglement Entropy from TFD Entropy Operator
• Near-Horizon Geometry and the Entropy of a Minimally Coupled Scalar Field in the Kerr Black Hole
• Towards Entanglement Entropy of Random Large-N Theories
• Entanglement entropy for non-zero genus topologies
• Entanglement content of kink excitations
• Anomalous Enhancement of Entanglement Entropy in Nonequilibrium Steady States Driven by Zero-Temperature Reservoirs
• Relevant perturbation of entanglement entropy of singular surfaces
• Entanglement entropies of an interval in the free Schrödinger field theory on the half line
• Symmetry-resolved genuine multi-entropy: Haar random and graph states
• Polyakov formulas for conical singularities in two dimensions
• Rényi entropies for one-dimensional quantum systems with mixed boundary conditions
• Entanglement entropies of an interval in the free Schrödinger field theory at finite density
• Maximal Entanglement: Applications in Quantum Information and Particle Physics
• Second-order Lovelock Gravity from Entanglement in Conformal Field Theories
• Back-Reaction of Classical Fields on Black Hole Area Law
• Holography, Fractals and the Weyl Anomaly
• Aspects and applications of quantum field theory on spaces with conical singularities
• Entanglement Entropy of Conformal Field Theory in All Dimensions
• Entanglement entropy of non-local theories in AdS
• Euclidean Time Approach to Entanglement Entropy on Lattices and Fuzzy Spaces
• Second Rényi entropy and annulus partition function for one-dimensional quantum critical systems with boundaries
• Entanglement Entropy across the Lattice-Continuum Correspondence
• Information Theoretic Inequalities as Bounds in Superconformal Field Theory
• Entanglement entropy in lattices with non-abelian gauge groups
• Replica-deformation of the SU(2)-invariant Thirring model via solutions of the qKZ equation
• On the Observer Dependence of the Quantum Effective Potential
• Area law and OPE blocks in CFT
• The generalized first law for more general matter
• Vacuum-Bounded States and the Entropy of Black Hole Evaporation
• A contour for the entanglement negativity of bosonic Gaussian states
• Stability of the symmetry-protected topological phase and Ising transitions in a disordered U(1) quantum link model on a ladder
• Coarse-Grained Fixed-Point Tensor Networks and Holographic Reflected Entropy in 3D Gravity
• Can Gravitational Wave Data Shed Light on Dark Matter Particles ?
• Two-dimensional $J_1$-$J_2$ clock model: Enhanced symmetries, emergent orders, and Landau-incompatible transitions
• The area and volume laws for entanglement of scalar fields in flat and cosmological spacetimes
• Noncommutative corrections to the minimal surface areas of the pure AdS spacetime and Schwarzschild-AdS black hole
• Divergence on the Horizon
• Detecting strongly non-Gaussian entanglement
• Entanglement Hamiltonian during a domain wall melting in the free Fermi chain
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• Rényi entropy of single-character CFTs on the torus
• 2D quantum gravity from quantum entanglement
• A local diagnostic program for unitary evolution in general space-times
• Black Hole Entropy from Entropy of Hawking Radiation
• Generalized Gravitational Entropy from Various Matter Fields
• Gapless deconfined phase in a ${\mathbb{Z}}_N$ symmetric Hamiltonian created in a cold-atom setup
• Entanglement and its applications in systems with many degrees of freedom
• On the Renormalization of Entanglement Entropy
• Entropy of Causal Horizons
• Proper-time evaluation of the effective action: unequal masses in the loop
• About Entropy Dependence on Observer