Entanglement Wedge Cross Section with Gauss-Bonnet Corrections and Thermal Quench

TL;DR

This paper numerically studies how Gauss-Bonnet corrections influence the entanglement wedge cross section in a five-dimensional AdS-Vaidya spacetime, revealing complex static and dynamic behaviors related to disentanglement.

Contribution

It provides the first detailed analysis of EWCS with Gauss-Bonnet corrections in both static and dynamic settings, highlighting nontrivial effects on entanglement measures.

Findings

EWCS increases with Gauss-Bonnet coupling in static case

Disentanglement behavior varies with coupling and separation in dynamic case

Higher-order corrections significantly affect entanglement evolution

Abstract

The entanglement wedge cross section (EWCS) is numerically investigated statically and dynamically in a five-dimension AdS-Vaidya spacetime with Gauss-Bonnet (GB) corrections, focusing on two identical rectangular strips on the boundary. In the static case, EWCS increases as the GB coupling constant $\alpha$ increases and disentangles at small separation between two strips for smaller $\alpha$. For the dynamic case, such a monotonic relationship between EWCS and $\alpha$ holds but the two strips no longer disentangle monotonically as in the static case. In the early thermal quenching stage, the disentanglement occurs at smaller $\alpha$ with larger separations. Two strips then disentangle at larger {separation} with larger $\alpha$ as time evolves. Our results indicate that the higher-order derivative corrections, like the entanglement measure in the dual boundary theory, also have nontrivial effects on the EWCS evolution.