Regensburg 2010 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 19: Quantum Chaos

DY 19.5: Talk

Wednesday, March 24, 2010, 15:15–15:30, H38

Fractal Weyl law in a three-disk microwave system — •Alexander Potzuweit, Ulrich Kuhl, and Hans-Jürgen Stöckmann — Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany

The transport properties of systems with a classical chaotic repeller are particularly intriguing. It had been predicted that the distribution of the poles of the scattering matrix should obey a fractal Weyl law with an exponent depending on the fractal dimension of the classical chaotic repeller[1]. From microwave measurements in an open symmetry-reduced three-disk system, we extract the resonances using the powerful technique of harmonic inversion[2]. By variation of the distance-to-radius parameter we find a qualitative good agreement between the experimental parameter dependence and the prediction from the fractal Weyl law.
[1] W. T. Lu, S. Sridhar, M. Zworski, Phys. Rev. Lett. 91, 154101(2003)
[2] J. Wiersig, J. Main, Phys. Rev. E 77, 36205(2008)