# Universality of quantum information in chaotic CFTs

@article{Lashkari2017UniversalityOQ, title={Universality of quantum information in chaotic CFTs}, author={Nima Lashkari and Anatoly Dymarsky and Hong Liu}, journal={Journal of High Energy Physics}, year={2017}, volume={2018}, pages={1-42} }

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…

## 36 Citations

### Rényi entropy at large energy density in 2D CFT

- PhysicsJournal of High Energy Physics
- 2019

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

- PhysicsJournal of High Energy Physics
- 2019

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

- PhysicsJournal of High Energy Physics
- 2019

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.

- PhysicsPhysical review letters
- 2019

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

- PhysicsJournal of High Energy Physics
- 2022

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

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2020

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

- Computer ScienceJournal of High Energy Physics
- 2019

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

- Physics
- 2019

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

- PhysicsJournal of High Energy Physics
- 2020

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

- Physics
- 2019

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…

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