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Spectral properties of Bunimovich mushroom billiards

Chaotic Dynamics 2007-05-23 v1 Statistical Mechanics Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.nlin/0703024,
  title  = {Spectral properties of Bunimovich mushroom billiards},
  author = {B. Dietz and T. Friedrich and M. Miski-Oglu and A. Richter and F. Schaefer},
  journal= {arXiv preprint arXiv:nlin/0703024},
  year   = {2007}
}

Comments

4 pages, 7 .eps-figures