Entanglement wedge cross-section with Gauss-Bonnet corrections and thermal quench

The entanglement wedge cross section (EWCS) is numerically investigated both 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 arises as the GB coupling constant $\alpha$ increasing, and disentangles at smaller separations between two strips for smaller $\alpha$. For the dynamical case we observe that the monotonic relation between EWCS and $\alpha$ holds but the two strips no longer disentangle monotonically. In the early stage of thermal quenching, when disentanglement occurs, the smaller $\alpha$, the greater separations. As time evolving, two strips then disentangle at larger separations with larger $\alpha$. Our results suggest that the higher order derivative corrections also have nontrivial effects on the EWCS, so do on the entanglement of purification in the dual boundary theory.