Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Poster I

DY 24.11: Poster

Wednesday, March 28, 2007, 16:00–18:00, Poster D

Investigations of Ericson fluctuations and time-reversal symmetry in quantum billiards — Stefan Bittner, Barbara Dietz-Pilatus, Thomas Friedrich, Pedro Oria Iriarte, Maksim Miski-Oglu, Achim Richter, and •Florian Schäfer — Institut für Kernphysik, Schloßgartenstraße 9, 64289 Darmstadt

In the presented work, flat microwave resonators were studied experimentally. Those resonators provide a means to simulate corresponding quantum billiards. The theoretical description of those billards is based on the scattering formalism as introduced by Mahaux and Weidenmüller and requires transmission as well as reflection measurements.

We focus here on two special aspects of our investigations. First, the regime of strongly overlapping resonances is studied. Here, the transmitted power through the resonator shows pronounced fluctuations (so called Ericson fluctuations). Their autocorrelation functions are compared to a theory by Verbaarschot, Weidenmüller and Zirnbauer. Second, we investigate the influence of a broken time-reversal symmetry on nearly degenerate resonances and extract the T-violating matrix elements of the effective Hamiltonian describing the quantum billiard.