Occupation probabilities of Floquet states in driven systems with a mixed phase space

Waltraut Wustmann

Technische Universität Dresden, Institut für Theoretische Physik, 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 follow fundamentally different distributions. Chaotic states have almost equal probabilities irrespective of their time-averaged energy. Regular states show Boltzmann-like probabilities as in time-independent systems. In contrast, however, an effective temperature appears that can be derived analytically and effective energies that have to be determined from properties of the classical regular island the states are localized on. Furthermore, we study other characteristic properties of eigenstates in a mixed phase space and their relation to the occupation probabilities.

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