| 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. We apply this approach to the annular billiard and extend it to the corresponding micro-cavity. The approach can also be applied to 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. |
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