Dresden 2009 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 21: Quantum chaos II

DY 21.9: Vortrag

Donnerstag, 26. März 2009, 12:30–12:45, ZEU 255

Microwave Floquet-systems — •Timur Tudorovskiy, Ulrich Kuhl, and Hans-Jürgen Stöckmann — Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany

We present a theory of a two-dimensional quantum billiard perturbed by a non-stationary point-like coupling. The theory is based on a generalization of the approach recently published in [1]. Among others it covers the case of the periodic perturbation, i.e. a Floquet system. This special type of a Floquet-system is of a particular interest, since it could be realized in microwave experiments. The theory describes a sideband-structure obtained from the reflection/transmission measurements with microwave billiards. To calculate the sideband-structure one has to solve a set of integral equations. Similar equations were obtained in the problem of electron detachment from an ionized atom [2]. The equations are simplified significantly when only a single isolated resonance is considered. For such a system the sideband-structure can be described by a first order differential equation. It shows the main features similar to those known from the solution of a one-dimensional Schrödinger equation with two focal points. We realized a microwave setup simulating the system with a single periodically perturbed resonance. We concluded that the experimentally obtained sideband structure shows all theoretically predicted peculiarities and can be successfully described by the presented theory.

[1] T. Tudorovskiy et al. J. Phys. A, 41 (2008) 275101

[2] Yu. N. Demkov and V. N. Ostrovskiy, Plenum Press, New York, 1988.