Extending the scope of holographic mutual information and chaotic behavior

TL;DR

This paper explores the chaotic behavior and holographic mutual information in various non-conformal and higher-curvature gravity backgrounds, revealing similarities with conformal theories and potential inconsistencies in Gauss-Bonnet gravity.

Contribution

It extends holographic analysis to non-conformal and Gauss-Bonnet backgrounds, highlighting their chaotic properties and differences from conformal theories.

Findings

Shared chaotic behavior with conformal theories

Distinct mutual information evolution in Gauss-Bonnet gravity with negative coupling

Potential inconsistency in Gauss-Bonnet gravity models

Abstract

We extend the use of holography to investigate the scrambling properties of various physical systems. Specifically, we consider: (i) non-conformal backgrounds of black $Dp$ branes, (ii) asymptotically Lifshitz black holes, and (iii) black $AdS$ solutions of Gauss-Bonnet gravity. We use the disruption of the entanglement entropy as a probe of the chaotic features of such systems. Our analysis shows that these theories share the same type of behavior as conformal theories as they undergo chaos; however, in the case of Gauss-Bonnet gravity, we find a stark difference in the evolution of the mutual information for negative Gauss-Bonnet coupling. This may signal an inconsistency of the latter.