Level dynamics in pseudointegrable billiards: an experimental study

Abstract

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. $P(k)\sim |k{|}^{-3}$. For small $k$ an intermediate behavior is found, where $P(k)$ changes from integrable towards chaotic behavior with growing $g$.

6 pages, 4 Figures

References in corpus (3)

• Spectral properties of quantized barrier billiards
• Level statistics and eigenfunctions of pseudointegrable systems: dependence on energy and genus number
• Evanescent wave approach to diffractive phenomena in convex billiards with corners

Cited by in corpus (2)

• Level dynamics and avoided level crossings in driven disordered quantum dots
• Geometry-induced electron doping in periodic semiconductor nanostructures