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Article overview
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Quantum chaos and effective thermalization | | Alexander Altland
; Fritz Haake
; | | Date: |
6 Oct 2011 | | Abstract: | 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. | | Source: | arXiv, 1110.1270 | | Services: | Forum | Review | PDF | Favorites | |
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