Regensburg 2013 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Quantum Chaos I

DY 26.4: Vortrag

Donnerstag, 14. März 2013, 10:45–11:00, H47

Experimental observation of spectral gap in microwave n-disk systems — Sonja Barkhofen¹, •Tobias Weich², Alexander Potzuweit¹, Hans-Jürgen Stöckmann¹, Ulrich Kuhl³, and Maciej Zworski⁴ — ¹Fachbereich Physik, Philipps-Universität Marburg, Renthof 5,35032 Marburg, Germany — ²Fachbereich Mathematik, Philipps-Universität Marburg, Hans-Meerwein-Straße,35032 Marburg, Germany — ³Laboratoire de Physique de la Matière Condensée, CNRS UMR 7336, Université de NiceSophia-Antipolis, F-06108 Nice, France — ⁴Department of Mathematics, University of California, Berkeley, California 94720, USA

We present experimental studies of the symmetry reduced 3-disk and 5-disk systems using a microwave setup. By extracting the complex resonances from the signal by means of the harmonic inversion we can access the width distribution. A spectral gap is observed for thick as well as for thin repellers, for thin repellers it is compared with the known topological pressure bounds. Furthermore the maxima of the distributions coincide in a large range with half of the classical escape rate.