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DY: Fachverband Dynamik und Statistische Physik

DY 32: Quantum Chaos

DY 32.1: Vortrag

Mittwoch, 22. März 2017, 10:00–10:15, HÜL 186

Spectral two-point correlation functions in microwave graphs with symplectic symmetry — •Aimaiti Rehemanjiang¹, Ulrich Kuhl^2,1, and Hans-Jürgen Stöckmann¹ — ¹Fachbereich Physik der Philipps-Universität Marburg, D-35032 Marburg, Germany — ²Université Côte d’Azur, CNRS, LPMC, France

In a recent experiment we succeeded in a microwave realization of the Gaussian symplectic ensemble (GSE) in a microwave graph [1,2] obeying an antiunitary symmetry T with T²=−1. The Kramers doublets, expected in such a system, were clearly observed and showed a level spacing distribution in full agreement with the Wigner GSE prediction. In the present talk results on the two-point correlation function, the spectral form factor, the number variance and the spectral rigidity are presented. Furthermore we discuss the transition from GSE to GOE statistics by continuously changing T from T²=−1 to T²=1.
[1] A. Rehemanjiang, M. Allgaier, C. H. Joyner, S. Müller, M. Sieber, U. Kuhl, and H.-J. Stöckmann. Phys. Rev. Lett. 117, 064101 (2001).
[2] C. H. Joyner, S. Müller, and M. Sieber. Europhys. Lett. 107, 50004 (2014).