Flooding of regular phase-space islands by chaotic states

Lars Bittrich

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

For closed systems with a mixed phase space, it was recently shown that quantum mechanically flooding of regular islands occurs when the Heisenberg time is larger than the tunneling time from the regular region to the chaotic sea [1]. In this case the regular eigenstates disappear. For open systems we investigate the phenomenon of flooding and the disappearance of regular states, where the escape time occurs as an additional time scale.
[1] Phys. Rev. Lett. 94, 054102 (2005)

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