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Spectral properties of Bunimovich mushroom billiards

B. Dietz·T. Friedrich·M. Miski-Oglu·A. Richter·F. Schaefer
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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.

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B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, F. Schaefer. 2007-03-13. Spectral properties of Bunimovich mushroom billiards. https://doi.org/10.1103/physreve.75.035203

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