Delocalizing Entanglement of Anisotropic Black Branes

TL;DR

This paper investigates how anisotropy affects entanglement and chaos in black brane geometries, revealing violations of some velocity bounds but consistency with infrared limits.

Contribution

It provides a detailed analysis of mutual information, entanglement velocity, butterfly velocity, and scrambling time in anisotropic black branes, highlighting violations of previously proposed bounds.

Findings

Entanglement velocity and butterfly velocity violate certain bounds.

These velocities remain bounded by infrared effective theory values.

The study links anisotropy to entanglement disruption and chaos properties.

Abstract

We study the mutual information between pairs of regions on the two asymptotic boundaries of maximally-extended anisotropic black-brane solutions. This quantity characterizes the local pattern of entanglement of thermofield double states which are dual to these geometries. We analyse the disruption of the mutual information in anisotropic shock wave geometries and show that the entanglement velocity plays an important role in this phenomenon. Besides that we compute several chaos-related properties of this system, like the entanglement velocity, the butterfly velocity and the scrambling time. We find that the butterfly velocity and the entanglement velocity violate the upper bounds proposed in 1311.1200 and 1612.00082, but remain bounded by their corresponding values in the infrared effective theory.