Time Evolution of Entanglement Entropy from Black Hole Interiors

Abstract

We compute the time-dependent entanglement entropy of a CFT which starts in relatively simple initial states. The initial states are the thermofield double for thermal states, dual to eternal black holes, and a particular pure state, dual to a black hole formed by gravitational collapse. The entanglement entropy grows linearly in time. This linear growth is directly related to the growth of the black hole interior measured along "nice" spatial slices. These nice slices probe the spacelike direction in the interior, at a fixed special value of the interior time. In the case of a two-dimensional CFT, we match the bulk and boundary computations of the entanglement entropy. We briefly discuss the long time behavior of various correlators, computed via classical geodesics or surfaces, and point out that their exponential decay comes about for similar reasons. We also present the time evolution of the wavefunction in the tensor network description.

28 pages; references added in v2

References in corpus (11)

• The density-matrix renormalization group in the age of matrix product states
• A class of quantum many-body states that can be efficiently simulated
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• Thermalization of Strongly Coupled Field Theories
• A holographic proof of the strong subadditivity of entanglement entropy
• Holographic Evolution of Entanglement Entropy
• Evolution of Holographic Entanglement Entropy after Thermal and Electromagnetic Quenches
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• Holographic entanglement entropy for disconnected regions
• Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining
• Constructing holographic spacetimes using entanglement renormalization

Cited by in corpus (543)

• Black holes and the butterfly effect
• Replica Wormholes and the Entropy of Hawking Radiation
• Complexity Equals Action
• Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
• Complexity and Shock Wave Geometries
• The Page curve of Hawking radiation from semiclassical geometry
• Chaos in quantum channels
• Quantum Entanglement Growth Under Random Unitary Dynamics
• Localized shocks
• Complexity, action, and black holes
• Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws
• Random Quantum Circuits
• Jerusalem Lectures on Black Holes and Quantum Information
• Multiple Shocks
• Two-dimensional conformal field theory and the butterfly effect
• Chaos and complexity by design
• Causality & holographic entanglement entropy
• Circuit complexity in quantum field theory
• Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks
• Quantum quenches in 1+1 dimensional conformal field theories
• The Ryu-Takayanagi Formula from Quantum Error Correction
• Entanglement Tsunami: Universal Scaling in Holographic Thermalization
• Tensor Network Renormalization
• Lieb-Robinson and the butterfly effect
• Comments on Holographic Complexity
• Massive Islands
• Entanglement Entropy at Large Central Charge
• Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
• Holographic quantum matter
• On the Time Dependence of Holographic Complexity
• Holographic Complexity
• Gauge/Gravity Duality and the Black Hole Interior
• Quantum chaos and the complexity of spread of states
• Noether charge, black hole volume, and complexity
• Information Transfer with a Gravitating Bath
• Entanglement phase transitions in measurement-only dynamics
• Quantum quench dynamics
• Entanglement islands in higher dimensions
• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
• Entanglement Transitions from Holographic Random Tensor Networks
• Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
• Islands outside the horizon
• Postselection-free entanglement dynamics via spacetime duality
• The Holographic Entropy Cone
• Complexity and entanglement for thermofield double states
• Entanglement growth during thermalization in holographic systems
• On entanglement spreading in chaotic systems
• Complexity Growth for AdS Black Holes
• Inconsistency of Islands in Theories with Long-Range Gravity
• Entanglement of purification: from spin chains to holography
• Surface/State Correspondence as a Generalized Holography
• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations
• Entanglement Scrambling in 2d Conformal Field Theory
• On The Evolution Of Operator Complexity Beyond Scrambling
• Gravity Dual of Quantum Information Metric
• Islands in cosmology
• Bra-ket wormholes in gravitationally prepared states
• An Information Paradox and Its Resolution in de Sitter Holography
• Codimension two holography for wedges
• Holographic entanglement plateaux
• Entanglement negativity after a global quantum quench
• Quantum Computational Complexity -- From Quantum Information to Black Holes and Back
• Local Operators in the Eternal Black Hole
• Does Complexity Equal Anything?
• Holographic BCFTs and Communicating Black Holes
• Circuit Complexity for Coherent States
• Black Hole Collapse in the 1/c Expansion
• Critical Islands
• Black Hole Microstate Cosmology
• Subsystem Complexity and Holography
• On Volumes of Subregions in Holography and Complexity
• Time Evolution of Complexity: A Critique of Three Methods
• Tensor network renormalization yields the multi-scale entanglement renormalization ansatz
• Operator entanglement entropy of the time evolution operator in chaotic systems
• Switchbacks and the Bridge to Nowhere
• Quantum Entanglement of Localized Excited States at Finite Temperature
• Dynamics of Entanglement Entropy from Einstein Equation
• Tensor Networks from Kinematic Space
• Timelike entanglement entropy
• Spread of entanglement and causality
• Mutual information after a local quench in conformal field theory
• Entanglement and quantum transport in integrable systems
• Spread of entanglement in a Sachdev-Ye-Kitaev chain
• Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography
• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• Islands for Reflected Entropy
• Comments on Entanglement Negativity in Holographic Field Theories
• An upper bound on transport
• Bidirectional holographic codes and sub-AdS locality
• Holographic Complexity of Einstein-Maxwell-Dilaton Gravity
• Dynamical entanglement entropy with angular momentum and U(1) charge
• Entanglement Growth after a Global Quench in Free Scalar Field Theory
• Disrupting Entanglement of Black Holes
• Island in Charged Black Holes
• Complexity and the bulk volume, a new York time story
• Deep Learning and AdS/CFT
• Islands and Page curves in 4d from Type IIB
• Replica wormholes for an evaporating 2D black hole
• Consistency Conditions for an AdS/MERA Correspondence
• Dirichlet Baths and the Not-so-Fine-Grained Page Curve
• A Holographic Derivation of the Weak Gravity Conjecture
• Holographic Spacetimes as Quantum Circuits of Path-Integrations
• Quantum chaos in the Brownian SYK model with large finite $N$: OTOCs and tripartite information
• Entanglement Wedge Cross Section from CFT: Dynamics of Local Operator Quench
• de Sitter space, extremal surfaces and "time-entanglement"
• Extremal Surface Barriers
• Time Evolution of Complexity in Abelian Gauge Theories - And Playing Quantum Othello Game -
• Quantum Information in Holographic Duality
• Entanglement Entropy of Cosmological Perturbations
• Nuts and Bolts for Creating Space
• Diving into a holographic superconductor
• Holographic Complexity And Cosmological Singularities
• de Sitter Microstates from $T\bar{T}+{\Lambda }_2$ and the Hawking-Page Transition
• A Complexity for Quantum Field Theory States and Application in Thermofield Double States
• Geometric secret sharing in a model of Hawking radiation
• Entanglement renormalization and wavelets
• Complexity Equals Anything II
• Notes on Quantum Entanglement of Local Operators
• Hawking from Catalan
• Linear growth of the entanglement entropy and the Kolmogorov-Sinai rate
• The central dogma and cosmological horizons
• Evolution of Complexity Following a Global Quench
• Complexity Growth Rate in Lovelock Gravity
• Scrambling time from local perturbations of the eternal BTZ black hole
• Cosmological Complexity
• Holographic Quantum Circuits from Splitting/Joining Local Quenches
• Multipartite Entanglement in Stabilizer Tensor Networks
• Holographic subregion complexity under a thermal quench
• Entanglement spreading in non-equilibrium integrable systems
• Light Cone Bootstrap in General 2D CFTs and Entanglement from Light Cone Singularity
• Gravitational duals to the grand canonical ensemble abhor Cauchy horizons
• Renormalization group constructions of topological quantum liquids and beyond
• Holographic Complexity for Defects Distinguishes Action from Volume
• From Path Integrals to Tensor Networks for AdS/CFT
• Scrambling and Complexity in Phase Space
• Correlation measures and the entanglement wedge cross-section after quantum quenches in two-dimensional conformal field theories
• Rainbow Scars: From Area to Volume Law
• Membrane theory of entanglement dynamics from holography
• Holographic Geometry of cMERA for Quantum Quenches and Finite Temperature
• Entanglement production in bosonic systems: Linear and logarithmic growth
• Modular Hamiltonians of excited states, OPE blocks and emergent bulk fields
• Cosmology at the end of the world
• de Sitter extremal surfaces
• Quantum Extremal Islands Made Easy, Part IV: Massive Black Holes on the Brane
• Tripartite mutual information, entanglement, and scrambling in permutation symmetric systems with an application to quantum chaos
• Entanglement Holographic Mapping of Many-Body Localized System by Spectrum Bifurcation Renormalization Group
• Entanglement entropy of squeezed vacua on a lattice
• Holographic probes of collapsing black holes
• A perturbative perspective on self-supporting wormholes
• On entanglement spreading from holography
• Aspects of Pseudo Entropy in Field Theories
• AdS/CFT as a deep Boltzmann machine
• Holographic thermalization with Lifshitz scaling and hyperscaling violation
• Excluding Black Hole Firewalls with Extreme Cosmic Censorship
• Entanglement in De Sitter Space
• The Information Theoretic Interpretation of the Length of a Curve
• Nonlocal probes of thermalization in holographic quenches with spectral methods
• Entanglement Tsunami in (1+1)-Dimensions
• Holographic flows from CFT to the Kasner universe
• A Holographic Entanglement Entropy Conjecture for General Spacetimes
• Holographic complexity and action growth in massive gravities
• On holographic time-like entanglement entropy
• Shaping contours of entanglement islands in BCFT
• Exploring the Tensor Networks/AdS Correspondence
• Operator and entanglement growth in non-thermalizing systems: many-body localization and the random singlet phase
• Quantum vs. classical information: operator negativity as a probe of scrambling
• CFT descriptions of bulk local states in the AdS black holes
• Thermalization of entanglement
• Circuit Complexity From Cosmological Islands
• Holographic entanglement negativity conjecture for adjacent intervals in $Ad{S}_3/CF{T}_2$
• Note on Entanglement Temperature for Low Thermal Excited States in Higher Derivative Gravity
• Non-local Entanglement and Fast Scrambling in De-Sitter Holography
• Hot multiboundary wormholes from bipartite entanglement
• Bath deformations, islands and holographic complexity
• Unitarity of Entanglement and Islands in Two-Sided Janus Black Holes
• EPR Pairs, Local Projections and Quantum Teleportation in Holography
• Correlation functions in finite temperature CFT and black hole singularities
• Pedagogical introduction to SYK model and 2D Dilaton Gravity
• Finding Pythons in Unexpected Places
• Holographic Complexity in dS${}_{d+1}$
• Double Local Quenches in 2D CFTs and Gravitational Force
• On the stability of gravity with Dirichlet walls
• Holographic entanglement of purification for thermofield double states and thermal quench
• Covariant holographic entanglement negativity
• Page Curves and Bath Deformations
• On extremal surfaces and de Sitter entropy
• AdS/BCFT with Brane-Localized Scalar Field
• Covariant Holographic Entanglement Negativity for Adjacent Subsystems in $\mathrm{Ad}{\mathrm{S}}_3/CF{\mathrm{T}}_2$
• Complexity and action for warped AdS black holes
• Warped Information and Entanglement Islands in AdS/WCFT
• Comments on Thermalization in 2D CFT
• Exact holographic mapping in free fermion systems
• Time evolution of entanglement for holographic steady state formation
• Spread of entanglement for small subsystems in holographic CFTs
• Entanglement Evolution in Lifshitz-type Scalar Theories
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Holographic complexity of anisotropic black branes
• Holographic Complexity of Quantum Black Holes
• Markovian Entanglement Dynamics under Locally Scrambled Quantum Evolution
• Signature of quantum chaos in operator entanglement in 2d CFTs
• Entanglement entropy in three dimensional gravity
• Spacetime symmetries and conformal data in the continuous multi-scale entanglement renormalization ansatz
• Uncomplexity and Black Hole Geometry
• Gauss-Bonnet correction to Holographic thermalization: two-point functions, circular Wilson loops and entanglement entropy
• Covariant holographic entanglement negativity for disjoint intervals in $Ad{S}_3/CF{T}_2$
• BCFT in a Black Hole Background: An Analytical Holographic Model
• Holographic mutual information in global Vaidya-BTZ spacetime
• Linear response of entanglement entropy from holography
• Two dimensional quantum quenches and holography
• Trans-IR Flows to Black Hole Singularities
• Modular Flow as a Disentangler
• Islands in Closed and Open Universes
• Time Evolution of Entanglement Entropy in Quenched Holographic Superconductors
• Submerging islands through thermalization
• Thoughts on Holographic Complexity and its Basis-dependence
• Decoherence in Conformal Field Theory
• Chaos and entanglement spreading in a non-commutative gauge theory
• Distinguishing Random and Black Hole Microstates
• Delocalizing Entanglement of Anisotropic Black Branes
• Bulk metric reconstruction from boundary entanglement
• Wheeler-DeWitt states of the AdS-Schwarzschild interior
• Generalized Gibbs Ensemble of 2d CFTs at large central charge in the thermodynamic limit
• Cutoff Dependence and Complexity of the CFT${}_2$ Ground State
• Complexity=Anything: Singularity Probes
• Entanglement structures in qubit systems
• Thermalization after holographic bilocal quench
• The role of mutual information in the Page curve
• Homology Conditions for RT Surfaces in Double Holography
• Page Curve of Effective Hawking Radiation
• Spectrum of End of the World Branes in Holographic BCFTs
• Volume and complexity for warped AdS black holes
• On periodically driven AdS/CFT
• Holographic entanglement negativity for disjoint intervals in $Ad{S}_3/CF{T}_2$
• Cosmological singularities, entanglement and quantum extremal surfaces
• On Complexity Growth in Minimal Massive 3D Gravity
• Comments on black hole interiors and modular inclusions
• Quantum Many-Body Scars from Einstein-Podolsky-Rosen States in Bilayer Systems
• Inside Anisotropic Black Hole with Vector Hair
• Evolution of Entanglement Wedge Cross Section Following a Global Quench
• Information transfer with a twist
• Butterflies with rotation and charge
• Supergroup Structure of Jackiw-Teitelboim Supergravity
• Butterflies on the Stretched Horizon
• Holographic Entanglement Renormalization of Topological Insulators
• Geometric Interpretation of Timelike Entanglement Entropy
• Complexity and Boost Symmetry
• A defect in holographic interpretations of tensor networks
• On de Sitter future-past extremal surfaces and the "entanglement wedge"
• Thermal correlation functions in CFT and factorization
• A paucity of bulk entangling surfaces: AdS wormholes with de Sitter interiors
• Charged Complexity and the Thermofield Double State
• Black Hole Chemistry: the first 15 years
• Comparison of holographic and field theoretic complexities by time dependent thermofield double states
• Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information
• Six-point functions and collisions in the black hole interior
• Behind the geon horizon
• Is Action Complexity better for de Sitter space in Jackiw-Teitelboim gravity?
• Prethermalisation and Thermalisation in the Entanglement Dynamics
• Barrier from chaos: operator entanglement dynamics of the reduced density matrix
• Entanglement Phase Transition in Holographic Pseudo Entropy
• Holography of the BTZ Black Hole, Inside and Out
• Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories
• Complexity growth of rotating black holes with a probe string
• Holographic Complexity Of Cold Hyperbolic Black Holes
• Entanglement and Correlations near Extremality: CFTs dual to Reissner-Nordström AdS${}_5$
• New Concepts for Old Black Holes
• Information Geometry of Entanglement Renormalization for free Quantum Fields
• Exploring the Membrane Theory of Entanglement Dynamics
• Holographic duals of evaporating black holes
• Speed Limits for Entanglement
• Entanglement entropy analysis of dyonic black holes using doubly holographic theory
• The inside outs of AdS(3)/CFT(2): Exact AdS wormholes with entangled CFT duals
• Computational Complexity and Black Hole Horizons
• Holographic second laws of black hole thermodynamics
• Scrambling time from local perturbations of the rotating BTZ black hole
• Driven Holographic CFTs
• Thermalization with chemical potentials, and higher spin black holes
• Covariant entanglement wedge cross-section, balanced partial entanglement and gravitational anomalies
• Closed universes in two dimensional gravity
• Proof of a Momentum/Complexity Correspondence
• Out-of-time-ordered correlators and the Loschmidt echo in the quantum kicked top: How low can we go?
• Looking at Shadows of Entanglement Wedges
• Holographic excited states in AdS Black Holes
• Evolution of Entanglement Entropy in Orbifold CFTs
• Complex Entangling Surfaces for AdS and Lifshitz Black Holes?
• Chaos, Diffusivity, and Spreading of Entanglement in Magnetic Branes, and the Strengthening of the Internal Interaction
• On the time dependence of holographic complexity for charged AdS black holes with scalar hair
• Equilibration and GGE in interacting-to-free Quantum Quenches in dimensions d>1
• Constraining braneworlds with entanglement entropy
• Mutual information of subsystems and the Page curve for Schwarzschild de-Sitter black hole
• Steady States of Holographic Interfaces
• Bridging the static patches: de Sitter holography and entanglement
• Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates
• Eigenstate entanglement between quantum chaotic subsystems: universal transitions and power laws in the entanglement spectrum
• Building Tensor Networks for Holographic States
• Kasner interiors from analytic hairy black holes
• Interior of helical black holes
• Information Scrambling with Conservation Laws
• A theory of minimal updates in holography
• Volume complexity of dS bubbles
• Butterflies from Information Metric
• Inflationary Krylov complexity
• Holographic complexity growth in a FLRW universe
• Bulk reconstruction using timelike entanglement in (A)dS
• Entanglement, Tensor Networks and Black Hole Horizons
• Gravitational back-reaction is magical
• Information Scrambling Versus Quantum Revival Through the Lens of Operator Entanglement
• Qubit Construction in 6D SCFTs
• Gravitational dual of the Rényi twist displacement operator
• Berry phases, wormholes and factorization in AdS/CFT
• Time dependence of reflected entropy in rational and holographic conformal field theories
• The entanglement membrane in exactly solvable lattice models
• Eternal Higher Spin Black Holes: a Thermofield Interpretation
• Quantum thermodynamics of holographic quenches and bounds on the growth of entanglement from the QNEC
• Cosmologies, singularities and quantum extremal surfaces
• Subsystem complexity in warped AdS
• Renormalization Group Circuits for Gapless States
• Quantum Quench in Non-relativistic Fermionic Field Theory: Harmonic traps and 2d String Theory
• Time Evolution of Entanglement Negativity from Black Hole Interiors
• Thermalization of Mutual Information in Hyperscaling Violating Backgrounds
• Holographic Non-equilibrium Heating
• Multiverse in Karch-Randall Braneworld
• Evolution of Holographic Complexity Near Critical Point
• Matrix product state renormalization
• Gravitational collapse in SYK models and Choptuik-like phenomenon
• Constraints on hydrodynamics from many-body quantum chaos
• Thermalization of Wightman functions in AdS/CFT and quasinormal modes
• Inhomogeneous quenches as state preparation in two-dimensional conformal field theories
• Entanglement from Dissipation and Holographic Interpretation
• Boundary signature of singularity in the presence of a shock wave
• de Sitter entropy as entanglement
• Fast Scrambling due to Rotating Shockwaves in BTZ
• Entanglement properties of the critical quench of O(N) bosons
• Revisit on holographic complexity in two-dimensional gravity
• Chemistry and Complexity for Solitons in AdS${}_5$
• EPR = ER and Scattering Amplitude as Entanglement Entropy Change
• Diagnosing collisions in the interior of a wormhole
• Quantum gravity of the Heisenberg algebra
• Speeding up the spread of quantum information in chaotic systems
• Chaos and fast scrambling delays of dyonic Kerr-Sen-AdS${}_4$ black hole and its ultra-spinning version
• Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect
• Anisotropic Flows into Black Holes
• Size and momentum of an infalling particle in the black hole interior
• Entanglement entropy and Page curve from the $\mathcal{M}$-theory dual of thermal QCD above $T_c$ at intermediate coupling
• Dynamics of the Area Law of Entanglement Entropy
• Entanglement entropy and Fisher information metric for closed bosonic strings in homogeneous plane wave background
• Entanglement wedge cross-section in shock wave geometries
• AdS Black Holes with a Bouncing Interior
• Monodromy methods for torus conformal blocks and entanglement entropy at large central charge
• Entwinement as a possible alternative to complexity
• Generalized Volume-Complexity for RN-AdS Black Hole
• Local quenches and quantum chaos from higher spin perturbations
• Time evolution of entanglement entropy of moving mirrors influenced by strongly coupled quantum critical fields
• Schwarzschild de Sitter and extremal surfaces
• Holographic Entanglement Entropy of Local Quenches in AdS${}_4$/CFT${}_3$: A Finite-Element Approach
• Shock waves, black hole interiors and holographic RG flows
• Bulk reconstruction of metrics inside black holes by complexity
• Entropy of Radiation with Dynamical Gravity
• Dynamics of charge imbalance resolved negativity after a global quench in free scalar field theory
• Black holes often saturate entanglement entropy the fastest
• Q-curvature and Path Integral Complexity
• A quantum circuit interpretation of evaporating black hole geometry
• Complexity of non-trivial sound speed in inflation
• Traversable AdS Wormhole via Non-local Double Trace or Janus Deformation
• Entanglement Temperature in Non-conformal Cases
• Entanglement entropy and vacuum states in Schwarzschild geometry
• Replica wormhole and island incompatibility with monogamy of entanglement
• RG Flows and Thermofield-Double States in Holography
• Quantum information scrambling and quantum chaos in little string theory
• Collision in the interior of wormhole
• Integral Geometry and Holography
• Infrared Regularization and Finite Size Dynamics of Entanglement Entropy in Schwarzschild Black Hole
• Complexity and Multi-boundary Wormholes
• Bridging two quantum quench problems -- local joining quantum quench and Möbius quench -- and their holographic dual descriptions
• Finite size effect on dynamical entanglement entropy: CFT and holography
• Holographic spin networks from tensor network states
• Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians
• Decoherence and Microscopic Diffusion at SYK
• Role of nonlocal probes of thermalization for a strongly interacting non-Abelian plasma
• Generalized Exact Holographic Mapping with Wavelets
• Universality in holographic entropy production
• Multi-Region Entanglement in Locally Scrambled Quantum Dynamics
• Subregion Entropy for the Doubly Holographic Global Black String
• Dynamics of Holographic Entanglement Entropy Following a Local Quench
• Tensor network state correspondence and holography
• Entanglement Dynamics of the Non-Unitary Holographic Channel
• What's the Point? Hole-ography in Poincare AdS
• Thermal geometry from CFT at finite temperature
• Local Operator Entanglement in Spin Chains
• Holographic flows with scalar self-interaction toward the Kasner universe
• Entanglement dynamics of thermofield double states in integrable models
• Stringy Effects and the Role of the Singularity in Holographic Complexity
• Time Evolution of Entanglement Entropy in Holographic FLRW Cosmologies
• Bouncing inside the horizon and scrambling delays
• Time dependence of entanglement for steady state formation in AdS${}_3$/CFT${}_2$
• Collisions of localized shocks and quantum circuits
• Duality between open systems and closed bilayer systems: Thermofield double states as quantum many-body scars
• Localized chaos due to rotating shock waves in Kerr-AdS black holes and their ultraspinning version
• Correspondence between Entanglement Growth and Probability Distribution of Quasi-Particles
• Chaos and relative entropy
• Scrambling in Two-Dimensional Conformal Field Theories with Light and Smeared Operators
• On minimal entanglement wedge cross section for holographic entanglement negativity
• Many-body entanglement and topology from uncertainties and measurement-induced modes
• Thermal states are vital: Entanglement Wedge Reconstruction from Operator-Pushing
• Can one hear the shape of a wormhole?
• MERA as a holographic strange correlator
• Geons and the Quantum Information Metric
• Black holes Entangled by Radiation
• Time-dependent quantum correlations in two-dimensional expanding spacetime
• Geometric quantum complexity of bosonic oscillator systems
• Holographic Complexity for disentangled states
• Holographic systems far from equilibrium: a review
• Operator Spreading in the Memory Matrix Formalism
• Holographic complexity of hyperbolic black holes
• On the Stringy Hartle-Hawking State
• $dS$ extremal surfaces, replicas, boundary Renyi entropies in $dS/CFT$ and time entanglement
• Deriving the First Law of Black Hole Thermodynamics without Entanglement
• Bit Threads and the Membrane Theory of Entanglement Dynamics
• Time-independent wormholes
• Non-Thermal Behavior in Conformal Boundary States
• Petz map and Python's lunch
• Saturation and recurrence of quantum complexity in random local quantum dynamics
• Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy
• Delicate windows into evaporating black holes
• The entanglement entropy of typical pure states and replica wormholes
• Deriving the non-perturbative gravitational dual of quantum Liouville theory from BCFT operator algebra
• Electric fields and quantum wormholes
• On the Entropy Cone for Large Regions at Late Times
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Binary AdS black holes coupled to a bath in Type IIB
• Quantum chaos in the presence of non-conformality
• Black hole microstates vs. the additivity conjectures
• Wormholes with Ends of the World
• Duality of Ryu-Takayanagi surfaces inside and outside the horizon
• Weighting gates in circuit complexity and holography
• Holographic entanglement entropy of the double Wick rotated BTZ black hole
• Universal entanglement timescale for Rényi entropies
• Entanglement inside a black hole before the Page time
• Generalized holographic complexity of rotating black holes
• Universal Early-Time Growth in Quantum Circuit Complexity
• Holographic Boundary Conformal Field Theory within Horndeski Gravity
• Quantum feedback induced entanglement relaxation and dynamical phase transition in monitored free fermion chains with Wannier-Stark ladder
• Scrambling in charged hairy black holes and the Kasner interior
• Towards an information description of space-time
• Holographic moving mirrors
• Black Holes at Exp-time
• Boundary States as Holographic Duals of Trivial Spacetimes
• Quantum Local Quench, AdS/BCFT and Yo-Yo String
• Information metric on the boundary
• Counting atypical black hole microstates from entanglement wedges
• Quantum Chaos, Thermodynamics and Black Hole Microstates in the mass deformed SYK model
• Emergent geometry, thermal CFT and surface/state correspondence
• Perturbative Complexity of Interacting Theory
• A Strategy for Proving the Strong Eigenstate Thermalization Hypothesis : Chaotic Systems and Holography
• Measuring the Black Hole Interior from the Exterior
• Breakdown of quantum-classical correspondence and dynamical generation of entanglement
• Stationary Solution to Charged Hairy Black Hole in AdS4: Kasner Interior, Rotating Shock Waves, and Fast Scrambling
• More on Holographic Volumes, Entanglement, and Complexity
• The Complexity of Being Entangled
• Scrambling under quench
• A paradox regarding monogamy of entanglement
• The generalized holographic $c$-function for regular AdS black holes
• Persistent Ballistic Entanglement Spreading with Optimal Control in Quantum Spin Chains
• Holographic complexity growth for a charged AdS-dilaton black holes with fixed and dynamical boundary respectively
• N-level ghost-spins and entanglement
• Inhomogeneous Thermal Quenches
• Complexity growth rate, grand potential and partition function
• Quantum many-body physics from a gravitational lens
• Complexity in One- and Two-Qubit Systems
• Upper bounds of holographic entanglement entropy growth rate for thermofield double states
• A 2-Replica Wormhole
• Entanglement in conformal field theory and holography
• Insensitivity of the complexity rate of change to the conformal anomaly and Lloyd's bound as a possible renormalization condition
• Random Circuits in the Black Hole Interior
• Holographic timelike entanglement in AdS${}_3$ Vaidya
• On Quantum Information Before the Page Time
• Local, non-classical model of Bell correlations
• Time dependent Entanglement Entropy in dissipative conformal theories: TFD approach
• Dynamics of logarithmic negativity and mutual information in smooth quenches
• Black hole interiors of homogeneous holographic solids under shear strain
• Revisit the entanglement entropy with gravitational anomaly
• Operator growth and black hole formation
• Entanglement Entropy with a Time-dependent Hamiltonian
• Subsystem Complexity and Measurements in Holography
• Adiabatic corrections to holographic entanglement in thermofield doubles and confining ground states
• Inverse Hamiltonian design of highly-entangled quantum systems
• ER for typical EPR
• Field theory in Rindler frame and more on the correspondence with thermal field theory formalisms
• Entanglement Renormalization of the class of Continuous Matrix Product States
• Product of Random States and Spatial (Half-)Wormholes
• What's inside a hairy black hole in massive gravity?
• Cosmological Complexity in K-essence
• Operator Approach to Complexity : Excited States
• Shrinking of Operators in Quantum Error Correction and AdS/CFT
• Thermalization and non-monotonic entanglement growth in an exactly solvable model
• Holographic entanglement entropy for relativistic hydrodynamic flows
• Holographic complexity of rotating black holes
• Haar averaged moments of correlation functions and OTOCs in Floquet systems
• Complexity, chaos and the moving D3-brane
• Estimating time in quantum chaotic systems and black holes
• Symmetric tensor scars with tunable entanglement from volume to area law
• Holographic Entanglement and Causal Shadow in Time-Dependent Janus Black Hole
• Probing the Black Hole Interior with Holographic Entanglement Entropy and the Role of AdS/BCFT Correspondence
• Switchback effect of holographic complexity in multiple-horizon black holes
• Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$
• Spatially Structured Entanglement from Nonequilibrium Thermal Pure States
• Efficient Simulation of Low Temperature Physics in One-Dimensional Gapless Systems
• Chaos-protected locality
• Illuminating entanglement shadows of BTZ black holes by a generalized entanglement measure
• Generalized monodromy method in gauge/gravity duality
• A simple holographic scenario for gapped quenches
• Entanglement renormalization for quantum fields with boundaries and defects
• Investigating the role of mutual information in the Page curve for a functional renormalization group improved Schwarzschild black hole
• Spread of Entanglement in Non-Relativistic Theories
• Entanglement dynamics from universal low-lying modes
• Holographic and QFT Complexity with angular momentum
• Probe strings on AdS accelerating black holes
• Note on Mutual Information between Two Intervals of Extremal BTZ
• Schwarzschild black hole states and entropies on a nice slice
• Developments in non-relativistic field theory and complexity
• On the Spread of Entanglement at Finite Cutoff
• Kinematics of Horizon and Singularity and IR/UV Mixing in AdS
• A formula for the overlap between Generalized Coherent States of any rank one simple Lie algebra
• Bubble quenches in the AdS/BCFT model
• Black hole singularities across phase transitions
• Holographic AME states in black hole interiors
• Holographic Interpretation of Relative State Complexity
• Entanglement Renyi entropy of two disjoint intervals for large $c$ Liouville field theory
• A simple analysis of the mixed-state information metric in AdS${}_3$/CFT${}_2$
• Recent developments in the holographic description of quantum chaos
• Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
• Entanglement Spreading and Oscillation
• Channel induced dynamics of quantum information in mixed state free QFTs
• The bimetric model with an informational metric tensor
• Odd Entanglement Entropy and Logarithmic Negativity for Thermofield Double States
• Exact Mappings in Condensed Matter Physics
• Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff
• Entanglement entropy and its linear response following a global quench in holographic Gauss-Bonnet gravity
• Massless Islands in Wedge Holography
• Holographic timelike entanglement and subregion complexity with scalar hair
• Geometric measure of quantum complexity in cosmological systems
• Quantum Information Approaches to Quantum Gravity