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.

4 pages, 7 .eps-figures

References in corpus (4)

• Stickiness in mushroom billiards
• First Experimental Observation of Superscars in a Pseudointegrable Barrier Billiard
• Correlations in Nuclear Masses
• Jahn-Teller Distortions and the Supershell Effect in Metal Nanowires

Cited by in corpus (12)

• Dynamical tunneling in mushroom billiards
• Perfect Absorption in Complex Scattering Systems with or without Hidden Symmetries
• Quantum mushroom billiards
• Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics
• Spectral fluctuations of billiards with mixed dynamics: from time series to superstatistics
• Direct regular-to-chaotic tunneling rates using the fictitious integrable system approach
• Prevalence of marginally unstable periodic orbits in chaotic billiards
• 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
• About Imperfect Mushroom Billiards