Dynamical Tunneling in Mushroom Billiards

A. Bäcker, R. Ketzmerick, S. Löck, M. Robnik, G. Vidmar, R. Höhmann, U. Kuhl, and H.-J. Stöckmann
Phys. Rev. Lett. 100, 174103 – Published 1 May 2008

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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  • Received 18 January 2008

DOI:https://doi.org/10.1103/PhysRevLett.100.174103

©2008 American Physical Society

Authors & Affiliations

A. Bäcker, R. Ketzmerick, and S. Löck

  • Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden, Germany

M. Robnik and G. Vidmar

  • Center for Applied Mathematics and Theoretical Physics, University of Maribor, SI-2000 Maribor, Slovenia

R. Höhmann, U. Kuhl, and H.-J. Stöckmann

  • Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany

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Vol. 100, Iss. 17 — 2 May 2008

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