Dresden 2009 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Poster II

DY 26.33: Poster

Donnerstag, 26. März 2009, 16:00–18:00, P1A

Prediction of tunneling rates: micro-cavities and bouncing-ball modes — Arnd Bäcker, Roland Ketzmerick, and •Steffen Löck — Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

In systems with a mixed phase space regular islands are dynamically separated from the chaotic sea, while quantum mechanically these phase-space regions are connected by dynamical tunneling. Dynamical tunneling rates from regular states to the chaotic sea can be determined with an approach based on a fictitious integrable system [1,2]. We apply this approach to the annular billiard and extend it to the corresponding micro-cavity. The approach can also be used to determine the coupling of bouncing-ball modes to chaotic states. We find that this coupling decays like a power law k^−1/2 with the wave number k.

[1] A. Bäcker, R. Ketzmerick, S. Löck, and L. Schilling, Phys. Rev. Lett. 100, 104101 (2008).

[2] A. Bäcker, R. Ketzmerick, S. Löck, M. Robnik, G. Vidmar, R. Höhmann, U. Kuhl, and H.-J. Stöckmann, Phys. Rev. Lett. 100, 174103 (2008).