Article details

Title:: Dynamical tunneling in mushroom billiards
Author:: A. Bäcker, R. Ketzmerick, S. Löck, M. Robnik, G. Vidmar, R. Höhmann, U. Kuhl, and H.-J. Stöckmann
Journal:: Phys. Rev. Lett. 100, 174103 (2008), 4 pages
Abstract:: We study the fundamental question of dynamical tunneling in generic two-dimensional Hamiltonian systems by considering regular-to-chaotic tunneling rates. Experimentally, we use microwave spectra to investigate a mushroom billiard with adjustable foot height. Numerically, we obtain tunneling rates from high precision eigenvalues using the improved method of particular solutions. Analytically, a prediction is given by extending an approach using a fictitious integrable system to billiards. In contrast to previous approaches for billiards, we find agreement with experimental and numerical data without any free parameter.
Download:: The preprint version of this article can be obtained via [arXiv:0801.2833 [nlin.CD]]