Level dynamics in pseudointegrable billiards: an experimental study

The level dynamics of pseudointegrable systems with different genus numbers g is studied experimentally using microwave cavities. For higher energies, the distribution of the eigenvalue velocities is Gaussian, as it is expected for chaotic systems with time-reversal symmetry and shows no dependence on g. Also the curvature distribution P(k) for large k is decaying as it is expected for chaotic systems, i.e., P(k) k−3. For small k an intermediate behavior is found, where P(k) changes from integrable towards chaotic behavior with growing g.