Entanglement wedge cross-section in shock wave geometries

TL;DR

This paper studies the entanglement wedge cross-section in shock wave geometries within holography, showing it matches CFT results and exhibits a plateau behavior similar to quantum quenches, especially at high temperatures.

Contribution

It provides a detailed calculation of the entanglement wedge cross-section in shock wave geometries and compares it with CFT results, revealing new insights into entanglement dynamics.

Findings

Entanglement wedge cross-section matches CFT results at late times.

Plateau behavior observed before the cross-section goes to zero.

High-temperature behavior is well described by the line-tension model.

Abstract

We consider reflected entropy in a thermofield double state perturbed by a heavy operator insertion. For sufficiently early operator insertions the dual geometry can be described by a localized shock wave geometry. We calculate the entanglement wedge cross-section in this geometry for symmetric intervals and find that it matches precisely with the CFT result for sufficiently late times. Our result exhibits a plateau before going to zero, a behaviour similar to the one observed recently in the context of global quantum quenches. We find that at high temperatures this behaviour is properly captured by the line-tension picture.