Dynamical tunneling in mushroom billiards

Details Dynamical tunneling in mushroom billiards Dynamical tunneling in mushroom billiards

2008-01-18

arxiv.org/abs/0801.2833v2

Phys. Rev. Lett. 100, 174103 (2008)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.100.174103

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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