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arXiv · 1304.6349

Dissipative Nonlinear Dynamics in Holography

Pallab Basu·Archisman Ghosh
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Abstract

We look at the response of a nonlinearly coupled scalar field in an asymptotically AdS black brane geometry and find a behavior very similar to that of known dissipative nonlinear systems like the chaotic pendulum. Transition to chaos proceeds through a series of period-doubling bifurcations. The presence of dissipation, crucial to this behavior, arises naturally in a black hole background from the ingoing conditions imposed at the horizon. AdS/CFT translates our solution to a chaotic response of the operator dual to the scalar field. Our setup can also be used to study quenchlike behavior in strongly coupled nonlinear systems.

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Pallab Basu, Archisman Ghosh. 2013-04-23. Dissipative Nonlinear Dynamics in Holography. https://doi.org/10.1103/physrevd.89.046004

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