Dresden 2006 – scientific programme

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DY: Dynamik und Statistische Physik

DY 15: Quantum Chaos

DY 15.5: Talk

Monday, March 27, 2006, 16:00–16:15, SCH 251

Vortex and anti-vortex correlations in open microwave billiards — •Ruven Höhmann, Ulrich Kuhl, Young-Hee Kim, Michael Barth, and Hans-Jürgen Stöckmann — Fachbereich Physik der Philipps-Universität Marburg

In quasi-two-dimensional microwave resonators there is a one-to-one correspondence between the Poynting vector and the probability current density in the corresponding quantum-mechanical system. This has been used to study the flow patterns through an open microwave billiard with particular emphasis to vortices and anti-vortices. Vortices correspond to nodal points of the complex wave function and anti-vortices to the hyperbolic points of the flow. Various pair correlation functions of vortices and anti-vortices, as well as distributions of nearest neighbor distances are investigated. The results are interpreted in terms of the random plane wave model [1,2].

[1] M. Berry, M. Dennis, Proc. R. Soc. Lond. A 456, 2059 (2000). [2] A. Saichev et al., Phys. Rev. E 64, 036222 (2001).