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arXiv · 0801.2833

Dynamical tunneling in mushroom billiards

A. Bäcker·R. Ketzmerick·S. Löck·M. Robnik·G. Vidmar·R. Höhmann·U. Kuhl·H. -J. Stöckmann
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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.

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A. Bäcker, R. Ketzmerick, S. Löck, M. Robnik, G. Vidmar, R. Höhmann, U. Kuhl, H. -J. Stöckmann. 2008-05-05. Dynamical tunneling in mushroom billiards. https://doi.org/10.1103/physrevlett.100.174103

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