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Spectral properties of Bunimovich mushroom billiards
B Dietz1, T Friedrich, M Miski-Oglu
1Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany.
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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