Journal Article

Chaos and entanglement spreading in a non-commutative gauge theory

Jahnke, Viktor, Fischler, Willy, Pedraza, Juan F.

2018

Overview

A bstract Holographic theories with classical gravity duals are maximally chaotic: they saturate a set of bounds on the spread of quantum information. In this paper we question whether non-locality can affect such bounds. Specifically, we consider the gravity dual of a prototypical theory with non-local interactions, namely, N = 4 non-commutative super Yang Mills. We construct shock waves geometries that correspond to perturbations of the thermofield double state with definite momentum and study several chaos related properties of the theory, including the butterfly velocity, the entanglement velocity, the scrambling time and the maximal Lyapunov exponent. The latter two are unaffected by the non-commutative parameter θ , however, both the butterfly and entanglement velocities increase with the strength of the non-commutativity. This implies that non-local interactions can enhance the effective light-cone for the transfer of quantum information, eluding previously conjectured bounds encountered in the context of local quantum field theory. We comment on a possible limitation on the retrieval of quantum information imposed by non-locality.

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
• Subject: Black Holes in String Theory / Butterflies & moths / Chaos theory / Classical and Quantum Gravitation / Elementary Particles / Field theory / Gauge theory / Gauge-gravity correspondence / Gravitation / High energy physics / Information dissemination / Information retrieval / Non-Commutative Geometry / Physics / Physics and Astronomy / Quantum entanglement / Quantum Field Theories / Quantum Field Theory / Quantum phenomena / Quantum Physics / Quantum theory / Regular Article - Theoretical Physics / Relativity Theory / Shock waves / String Theory