Two dimensional quantum quenches and holography

TL;DR

This paper presents a holographic model for quantum quenches in 2D conformal field theories, analyzing entanglement entropy dynamics and introducing a boundary in bulk geometries to mirror boundary states in the dual CFT.

Contribution

It introduces a novel holographic framework incorporating a spacetime boundary in bulk geometries to study quantum quenches in 2D CFTs, including local and inhomogeneous cases.

Findings

Holographic entanglement entropy evolution matches CFT results.

Boundary geometries effectively model boundary states in dual CFTs.

Fusion of black strings illustrates inhomogeneous quench dynamics.

Abstract

We propose a holographic realization of quantum quenches in two dimensional conformal field theories. In particular, we discuss time evolutions of holographic entanglement entropy in these backgrounds and compare them with CFT results. The key ingredient of the construction is an introduction of a spacetime boundary into bulk geometries, which is the gravity counterpart of a boundary state in the dual CFT. We consider several examples, including local quenches and an inhomogeneous quench which is dual to fusion of two black string into the third one.