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Chaos and entanglement spreading in a non-commutative gauge theory · Around

2018

Chaos and entanglement spreading in a non-commutative gauge theory

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

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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, $\mathcal{N}=4$ 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.

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