Holographic mutual information in global Vaidya-BTZ spacetime

TL;DR

This paper studies how mutual information between two regions in a 1+1 dimensional CFT evolves after a quantum quench, using holography and the Vaidya-BTZ spacetime to model the process.

Contribution

It analyzes the spacelike geodesic structure and mutual information dynamics in Vaidya-BTZ spacetime, comparing sudden quench and adiabatic limits from a geometric perspective.

Findings

Different behaviors of holographic mutual information identified

Geometric analysis of geodesic structures in Vaidya-BTZ spacetime

Comparison between quench and adiabatic processes

Abstract

We investigate the evolution of the mutual information between two spatial subsystems in a compact 1+1 dimensional CFT after a quantum quench. To this end, we use the dual holographic process, given by the 2+1 dimensional Vaidya-BTZ spacetime in global coordinates, which describes the collapse of a spherically symmetric null shell. So, we first discuss the spacelike geodesic structure of this geometry and then we present the various behaviors of the holographic mutual information observed in this case. We also consider the analogous process in the adiabatic limit and compare these two cases from a geometrical point of view.