Spectral properties of Bunimovich mushroom billiards

Details Spectral properties of Bunimovich mushroom billiards Spectral properties of Bunimovich mushroom billiards

2007-03-13

arxiv.org/abs/nlin/0703024v1

Phys. Rev. E 75, 035203(R) (2007)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 7 .eps-figures

Scientific paper

10.1103/PhysRevE.75.035203

Properties of a quantum mushroom billiard in the form of a superconducting microwave resonator have been investigated. They reveal unexpected nonuniversal features such as, e.g., a supershell effect in the level density and a dip in the nearest-neighbor spacing distribution. Theoretical predictions for the quantum properties of mixed systems rely on the sharp separability of phase space - an unusual property met by mushroom billiards. We however find deviations which are ascribed to the presence of dynamic tunneling.

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