Generalized Eigenstate Thermalization in 2d CFTs

Abstract

Infinite-dimensional conformal symmetry in two dimensions leads to integrability of 2d conformal field theories through an infinite tower of local conserved qKdV charges in involution. We discuss the role this integrable structure plays in equilibration of 2d CFTs. We show that in the thermodynamic limit large central charge 2d CFTs satisfy generalized eigenstate thermalization, with the values of qKdV charges forming a complete set of thermodynamically relevant quantities, which unambiguously determine expectation values of all local observables from the vacuum family. Our work settles the question if non-local or quasi-local charges are necessary to describe equilibrium of large central charge 2d CFTs by showing that upon equilibration local physics can be described by the Generalized Gibbs Ensemble that only includes qKdV charges. In the case of a general initial state, upon equilibration, emerging Generalized Gibbs Ensemble will include negative chemical potentials and holographically will be described by a quasi-classical black hole with quantum soft hair.

References in corpus (44)

• Chaos and Quantum Thermalization
• Thermalization and its mechanism for generic isolated quantum systems
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
• Time-dependence of correlation functions following a quantum quench
• Quantum Quench in the Transverse Field Ising Chain
• Generalized Gibbs ensemble in integrable lattice models
• Quantum Quenches in Extended Systems
• Complete Generalized Gibbs Ensemble in an interacting Theory
• Integrable Structure of Conformal Field Theory, Quantum KdV Theory and Thermodynamic Bethe Ansatz
• Integrable Structure of Conformal Field Theory II. Q-operator and DDV equation
• Quantum quenches in 1+1 dimensional conformal field theories
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Generalized Thermalization in an Integrable Lattice System
• Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
• Integrable Structure of Conformal Field Theory III. The Yang-Baxter Relation
• Quantum Quenches in Integrable Field Theories
• Generalized Gibbs Ensembles for Quantum Field Theories
• Quasilocal conserved operators in isotropic Heisenberg spin 1/2 chain
• Black Hole Collapse in the 1/c Expansion
• Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
• Failure of the GGE hypothesis for integrable models with bound states
• Boundary conditions for General Relativity on AdS${}_3$ and the KdV hierarchy
• Thermalization and pseudolocality in extended quantum systems
• Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain
• On Generalized Gibbs Ensembles with an infinite set of conserved charges
• On thermality of CFT eigenstates
• Memory-preserving equilibration after a quantum quench in a 1d critical model
• Single-particle and many-body analyses of a quasiperiodic integrable system after a quench
• Universality of Quantum Information in Chaotic CFTs
• Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT
• Quasi locality of the GGE in interacting-to-free quenches in relativistic field theories
• Eigenstate Gibbs Ensemble in Integrable Quantum Systems
• Comments on Thermalization in 2D CFT
• Dissimilarities of reduced density matrices and eigenstate thermalization hypothesis
• Quasilocal charges and progress towards the complete GGE for field theories with non-diagonal scattering
• Quasi-local charges and the Generalized Gibbs Ensemble in the Lieb-Liniger model
• Probing beyond ETH at large $c$
• Thermality and excited state Rényi entropy in two-dimensional CFT
• Generalized Gibbs Ensemble of 2d CFTs at large central charge in the thermodynamic limit
• Short interval expansion of Rényi entropy on torus
• Inner products in integrable Richardson-Gaudin models
• Exact generalized partition function of 2D CFTs at large central charge
• Note on ETH of descendant states in 2D CFT

Cited by in corpus (42)

• Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
• Universal Dynamics of Heavy Operators in CFT${}_2$
• Operator growth in 2d CFT
• Eigenstate thermalization hypothesis and its deviations from random-matrix theory beyond the thermalization time
• Typicality and thermality in 2d CFT
• Non-Gaussianities in the Statistical Distribution of Heavy OPE Coefficients and Wormholes
• Subleading Eikonal, AdS/CFT and Double Stress Tensors
• Bounds on the density of states and the spectral gap in CFT${}_2$
• A principle of maximum ignorance for semiclassical gravity
• Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
• Thermalization in Large-N CFTs
• Generalized Spectral Form Factors and the Statistics of Heavy Operators
• Quasi-Many-Body Localization of Interacting Fermions with Long-Range Couplings
• Holographic Quantum Scars
• Quantum thermalization and Virasoro symmetry
• Near Lightcone Thermal Conformal Correlators and Holography
• Universal Dynamics of Heavy Operators in Boundary CFT${}_2$
• Extended Eigenstate Thermalization and the role of FZZT branes in the Schwarzian theory
• KdV-charged black holes
• KdV Charges and the Generalized Torus Partition Sum in $T\bar{T}$ deformation
• Exactly Solvable Floquet Dynamics for Conformal Field Theories in Dimensions Greater than Two
• Integrable systems and the boundary dynamics of higher spin gravity on AdS${}_3$
• Negative flows of generalized KdV and mKdV hierarchies and their gauge-Miura transformations
• Violation of Eigenstate Thermalization Hypothesis in Quantum Field Theories with Higher-Form Symmetry
• Zero modes of local operators in 2d CFT on a cylinder
• Operator thermalisation in $d>2$: Huygens or resurgence
• Spectrum of quantum KdV hierarchy in the semiclassical limit
• Conserved Quantities from Entanglement Hamiltonian
• Unveiling Eigenstate Thermalization for Non-Hermitian systems
• Subsystem entropy in 2d CFT and KdV ETH
• Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems
• Subsystem eigenstate thermalization hypothesis for translation invariant systems
• Ergodicity breaking and deviation from Eigenstate Thermalisation in relativistic QFT
• Remarks on effects of projective phase on eigenstate thermalization hypothesis
• Generalized Gibbs Ensemble of 2D CFTs with U(1) Charge from the AGT Correspondence
• Modular Properties of Generalised Gibbs Ensembles
• Perturbative distinguishability of black hole microstates from AdS/CFT correspondence
• Timescales and necessary conditions for hydrodynamization in one-dimensional Bose gases
• Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories
• Generalized Gibbs Ensemble from Eigenstate Entanglement Hamiltonian
• Subsystem Thermalization Hypothesis in Quantum Spin Chains with Conserved Charges
• Subsystem fidelity in two-dimensional conformal field theories