Quantum chaos and effective thermalization

Details Quantum chaos and effective thermalization Quantum chaos and effective thermalization

2011-10-06

arxiv.org/abs/1110.1270v2

Phys. Rev. Lett. 108, 073601 (2012)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 1 figure

Scientific paper

We demonstrate effective equilibration for unitary quantum dynamics under conditions of classical chaos. Focusing on the paradigmatic example of the Dicke model, we show how a constructive description of the thermalization process is facilitated by the Glauber $Q$ or Husimi function, for which the evolution equation turns out to be of Fokker-Planck type. The equation describes a competition of classical drift and quantum diffusion in contractive and expansive directions. By this mechanism the system follows a 'quantum smoothened' approach to equilibrium, which avoids the notorious singularities inherent to classical chaotic flows.

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