Dresden 2009 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 15: Quantum chaos I
DY 15.5: Vortrag
Mittwoch, 25. März 2009, 15:15–15:30, HÜL 386
Diffraction effects on transport properties of a circular cavity — •Tobias Dollinger1, Michael Wimmer1, Iva Brezinova2, Joachim Burgdörfer2, and Klaus Richter1 — 1Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany — 2Institut für Theoretische Physik, Technische Universität Wien, 1040 Vienna, Austria
It is by now well established that quantum transport properties can be predicted analytically by starting from semiclassical expressions for the Greens-function. This approach proves particularly useful for systems with classical analoga revealing chaotic dynamics. Here we will use a semiclassical approach to re-examine a circular billiard, which is integrable in the classical case. We mainly focus on diffraction at the openings and analyse how it influences quantum effects, such as weak localization, for different curvatures at the points that connect leads and billiard boundary. This is motivated by an analysis of scattering matrix elements obtained from quantum simulations, in which features of the corresponding classical scattering system are observed.