Dissipative Nonlinear Dynamics in Holography
arXiv:1304.6349 · doi:10.1103/PhysRevD.89.046004
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.
12 pages, 7 figures; v2: References added, Changes complying to referee's suggestions made
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Cited by in corpus (6)
- Nonlocal probes of thermalization in holographic quenches with spectral methods
- Non-integrability in non-relativistic theories
- Floquet Scalar Dynamics in Global AdS
- Kibble-Zurek Scaling in Holographic Quantum Quench : Backreaction
- Non-equilibrium dynamics in Holography
- Chaos in balanced and unbalanced holographic s+p superconductors