Experimental Observation of the Spectral Gap in Microwave n-Disk Systems

S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski
Phys. Rev. Lett. 110, 164102 – Published 17 April 2013

Abstract

Symmetry reduced three-disk and five-disk systems are studied in a microwave setup. Using harmonic inversion the distribution of the imaginary parts of the resonances is determined. With increasing opening of the systems, a spectral gap is observed for thick as well as for thin repellers and for the latter case it is compared with the known topological pressure bounds. The maxima of the distributions are found to coincide for a large range of the distance to radius parameter with half of the classical escape rate. This confirms theoretical predictions based on rigorous mathematical analysis for the spectral gap and on numerical experiments for the maxima of the distributions.

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  • Received 24 December 2012

DOI:https://doi.org/10.1103/PhysRevLett.110.164102

© 2013 American Physical Society

Authors & Affiliations

S. Barkhofen1, T. Weich1,2, A. Potzuweit1, H.-J. Stöckmann1, U. Kuhl3,1, and M. 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 Nice Sophia-Antipolis, F-06108 Nice, France
  • 4Department of Mathematics, University of California, Berkeley, California 94720, USA

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Vol. 110, Iss. 16 — 19 April 2013

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