Berlin 2008 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 27: Quantum chaos II
DY 27.1: Talk
Thursday, February 28, 2008, 14:30–14:45, MA 004
Occupation probabilities of Floquet states in driven systems with a mixed phase space — Roland Ketzmerick and •Waltraut Wustmann — Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
We investigate time-periodic driven systems with regular and chaotic Floquet states weakly coupled to a heat bath. The stationary occupation probabilities of the two types of states turn out to follow fundamentally different distributions. Chaotic states have almost equal probabilities irrespective of their time-averaged energy. Regular states show Boltzmann-like probabilities proportional to exp(−En*/kT*) as in time-independent systems. In contrast, however, an effective temperature T* appears that can be derived analytically and effective energies En* that have to be determined from properties of the classical regular island they are localized on.