Entanglement Wedge Minimum Cross-Section for Holographic Aether Gravity

TL;DR

This paper investigates the entanglement wedge cross-section in holographic Aether gravity, revealing its complex behavior and richer information content compared to entanglement entropy and mutual information, influenced by Lorentz violation.

Contribution

It introduces the study of EWCS in Lorentz-violating Aether gravity, highlighting its non-monotonic behavior and richer entanglement structure compared to traditional holographic measures.

Findings

EWCS can show non-monotonic behavior with system parameters

HEE and MI exhibit monotonic behavior under the same conditions

Lorentz violation influences quantum information measures significantly

Abstract

We study the entanglement wedge cross-section (EWCS) in holographic Aether gravity theory, a gravity theory with Lorentz symmetry violation while keeping the general covariance intact. We find that only a limited parameter space is allowed to obtain a black brane with positive Hawking temperature. Subject to these allowed parameter regions, we find that the EWCS could exhibit non-monotonic behaviors with system parameters. Meanwhile, the holographic entanglement entropy (HEE), and the corresponding mutual information (MI), can only exhibit monotonic behaviors. These phenomena suggest that the EWCS could capture much more rich content of the entanglement than that of the HEE and the MI. The role of the Lorentz violation in determining the behaviors of quantum information-related quantities is also analyzed.