Higher-curvature Corrections to Holographic Entanglement with Momentum Dissipation

TL;DR

This paper investigates how higher-curvature Gauss-Bonnet corrections influence nonlocal holographic probes, revealing effects on entanglement entropy, information measures, and inter-object forces, with transition behaviors depending on the coupling sign.

Contribution

It introduces the study of Gauss-Bonnet corrections on holographic entanglement and information measures in models with momentum dissipation, highlighting the impact of curvature terms.

Findings

Gauss-Bonnet corrections modify the universal term in entanglement entropy.

Transition points in mutual and tripartite information depend on the sign of the Gauss-Bonnet coupling.

The inter-object force behavior is affected by the Gauss-Bonnet coupling and its sign.

Abstract

We study the effects of Gauss-Bonnet corrections on some nonlocal probes (entanglement entropy, $n$-partite information and Wilson loop) in the holographic model with momentum relaxation. Higher-curvature terms as well as scalar fields make in fact nontrivial correction to the coefficient of universal term in entanglement entropy. We use holographic methods to study such corrections. Moreover, holographic calculation indicates that mutual and tripartite information undergo a transition beyond which they identically change their values. We find that the behavior of transition curves depends on the sign of the Gauss-Bonnet coupling $\lambda$. The transition for $\lambda>0$ takes place in larger separation of subsystems than that of $\lambda<0$. Finally, we examine the behavior of modified part of the force between external point-like objects as a function of Gauss-Bonnet coupling and its sign.