Reappearance of flooded regular states in open quantum systems with a mixed phase space

Lars Bittrich

Technische Universität Dresden, Institut für Theoretische Physik, Dresden, Germany

For closed systems with a mixed phase space, it was shown that quantum mechanically flooding of regular islands may occur. This happens when the Heisenberg time is larger than the tunneling time from the regular region to the chaotic sea. In this case the regular eigenstates disappear. For open systems we investigate the phenomenon of flooding and disappearance of regular states, where the escape time occurs as an additional time scale. We discuss the reappearance of regular states in the case of strongly open systems. This is demonstrated numerically for quantum maps and experimentally for a mushroom shaped microwave resonator.

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