Spectral properties of Bunimovich mushroom billiards

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.

arXiv comment4 pages, 7 .eps-figures

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• Open Mushrooms: Stickiness revisited
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• First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries
• Nonperturbative theory of power spectrum in complex systems
• Nonextensive and superstatistical generalizations of random-matrix theory
• Marginally Unstable Periodic Orbits in Semiclassical Mushroom Billiards
• Evolution of order and chaos across a first-order quantum phase transition
• Few Islands Approximation of Hamiltonian System with divided Phase Space
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