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DY: Dynamik und Statistische Physik

DY 13: Quantum Chaos

DY 13.2: Talk

Friday, March 4, 2005, 14:30–14:45, TU H2032

Flooding of regular islands by chaotic states — •Arnd Bäcker, Roland Ketzmerick, and Alejandro G. Monastra — Institut für Theoretische Physik, TU Dresden, 01062 Dresden

We introduce a criterion for the existence of regular states in systems with a mixed phase space. If this condition is not fulfilled chaotic eigenstates substantially extend into a regular island. Wave packets started in the chaotic sea progressively flood the island. The extent of flooding by eigenstates and wave packets increases logarithmically with the size of the chaotic sea and the time, respectively. This new effect can be observed for island chains with just 10 islands.

Reference: A. Bäcker, R. Ketzmerick, and A. G. Monastra, nlin.CD/0409029, http://arxiv.org/abs/nlin.CD/0409029