Spectral properties of Bunimovich mushroom billiards

2007/03/13 by B. Dietz, T. Friedrich, M. Miski-Oglu +2 · 2 citations
Physics and Astronomy · #nlin.CD #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physreve.75.035203

published as Phys. Rev. E 75, 035203(R) (2007) · 4 pages, 7 .eps-figures

arxiv created 2007/03/13 · arxiv updated 2009/12/01

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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