Universality of quantum information in chaotic CFTs

  title={Universality of quantum information in chaotic CFTs},
  author={Nima Lashkari and Anatoly Dymarsky and Hong Liu},
  journal={Journal of High Energy Physics},
A bstractWe study the Eigenstate Thermalization Hypothesis (ETH) in chaotic conformal field theories (CFTs) of arbitrary dimensions. Assuming local ETH, we compute the reduced density matrix of a ball-shaped subsystem of finite size in the infinite volume limit when the full system is an energy eigenstate. This reduced density matrix is close in trace distance to a density matrix, to which we refer as the ETH density matrix, that is independent of all the details of an eigenstate except its… 

Rényi entropy at large energy density in 2D CFT

Abstract We investigate the Rényi entropy and entanglement entropy of an interval with an arbitrary length in the canonical ensemble, microcanonical ensemble and primary excited states at large

Note on ETH of descendant states in 2D CFT

A bstractWe investigate the eigenstate thermalization hypothesis (ETH) of highly excited descendant states in two-dimensional large central charge c conformal field theory. We use operator product

Eigenstate thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach

Abstract The Sachdev-Ye-Kitaev (SYK) model provides an uncommon example of a chaotic theory that can be analysed analytically. In the deep infrared limit, the original model has an emergent

Generalized Eigenstate Thermalization Hypothesis in 2D Conformal Field Theories.

It is proposed 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.

Spectrum of quantum KdV hierarchy in the semiclassical limit

We employ semiclassical quantization to calculate spectrum of quantum KdV charges in the limit of large central charge c. Classically, KdV charges Q2n−1 generate completely integrable dynamics on the

Quantum thermalization and Virasoro symmetry

We initiate a systematic study of high energy matrix elements of local operators in 2D CFT. Knowledge of these is required in order to determine whether the generalized eigenstate thermalization

Eigenstate thermalization hypothesis and approximate quantum error correction

This paper explores the properties of ETH as an error correcting code and shows that there exists an explicit universal recovery channel for the code, and discusses a generalization that all chaotic theories contain error correcting codes.

Generalized Eigenstate Thermalization in 2d CFTs

Infinite-dimensional conformal symmetry in two dimensions leads to integrability of 2d conformal field theories by giving rise to an infinite tower of local conserved qKdV charges in involution. We

Entanglement wedge cross section from CFT: dynamics of local operator quench

We derive dynamics of the entanglement wedge cross section from the reflected entropy for local operator quench states in the holographic CFT. By comparing between the reflected entropy and the

Zero modes of local operators in 2d CFT on a cylinder

Studies of Eigenstate Thermalization Hypothesis (ETH) in two-dimensional CFTs call for calculation of the expectation values of local operators in highly excited energy eigenstates. This can be done



Thermality of eigenstates in conformal field theories.

A class of operators in (1+1)-dimensional conformal field theories, consisting of quasiprimaries of the identity module, which satisfy the eigenstate thermalization hypothesis only at the leading order in large central charge are found.

Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT

A bstractWe investigate a weak version of subsystem eigenstate thermalization hypothesis (ETH) for a two-dimensional large central charge conformal field theory by comparing the local equivalence of

Dissimilarities of reduced density matrices and eigenstate thermalization hypothesis

A bstractWe calculate various quantities that characterize the dissimilarity of reduced density matrices for a short interval of length ℓ in a two-dimensional (2D) large central charge conformal

Holographic entanglement entropy from 2d CFT: heavy states and local quenches

A bstractWe consider the entanglement entropy in 2d conformal field theory in a class of excited states produced by the insertion of a heavy local operator. These include both high-energy eigenstates

Does a single eigenstate encode the full Hamiltonian

The Eigenstate Thermalization Hypothesis (ETH) posits that the reduced density matrix for a subsystem corresponding to an excited eigenstate is "thermal." Here we expound on this hypothesis by

Relative entropy of excited states in conformal field theories of arbitrary dimensions

A bstractExtending our previous work, we study the relative entropy between the reduced density matrices obtained from globally excited states in conformal field theories of arbitrary dimensions. We

Bulk emergence and the RG flow of entanglement entropy

A bstractWe further develop perturbative methods used to calculate entanglement entropy (EE) away from an interacting CFT fixed point. At second order we find certain universal terms in the

Eigenstate thermalization hypothesis in conformal field theory

We investigate the eigenstate thermalization hypothesis (ETH) in d  +  1 dimensional conformal field theories by studying the reduced density matrices in energy eigenstates. We show that if the local

Chaos and quantum thermalization.

  • Srednicki
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1994
It is shown that a bounded, isolated quantum system of many particles in a specific initial state will approach thermal equilibrium if the energy eigenfunctions which are superposed to form that state obey Berry's conjecture, and argued that these results constitute a sound foundation for quantum statistical mechanics.

Relative entropy and holography

A bstractRelative entropy between two states in the same Hilbert space is a fundamental statistical measure of the distance between these states. Relative entropy is always positive and increasing