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DY: Fachverband Dynamik und Statistische Physik
DY 30: Quantum Chaos II
DY 30.2: Talk
Thursday, March 14, 2013, 15:15–15:30, H47
Experimental observation of resonance assisted tunneling in systems with a mixed phase space — •Stefan Gehler1, Steffen Löck2,3, Ulrich Kuhl1,4, Hans-Jürgen Stöckmann1, Susumu Shinohara5, Arnd Bäcker2,5, and Roland Ketzmerick2,5 — 1Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, 35032 Marburg, Germany — 2Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany — 3OncoRay, Technische Universität Dresden, Fetscherstr. 74, 01307 Dresden, Germany — 4LPMC, CNRS UMR 7336, Université de Nice Sophia-Antipolis, 06108 Nice, France — 5Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany
In quantum mechanical billiards with a mixed phase space tunnelling from regular islands to the chaotic sea can be strongly increased by resonance-assisted tunnelling [1,2]. This occurs due to nonlinear resonances, which cause different regular states to be close in energy. To experimentally verify this theory we designed a cosine-shaped microwave resonator with suitably placed absorbers destroying the resonances of the chaotic sea but not affecting the stable island. Then the tunnelling rate can be determined via the width of the resonances. Our experimental results are in agreement with theoretical predictions.
[1] O. Brodier, P. Schlagheck, D. Ullmo, Phys. Rev. Lett. 87, 064101 (2001).
[2] S. Löck et al., Phys. Rev. Lett. 104, 114101 (2010).