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DY: Fachverband Dynamik und Statistische Physik

DY 23: Quantum Chaos

DY 23.6: Vortrag

Dienstag, 13. März 2018, 11:30–11:45, EB 107

Microwave graphs: Transition from Symplectic to Orthogonal Symmetry — •Martin Richter¹, Aimaiti Rehemanjiang², Ulrich Kuhl¹, and Hans-Jürgen Stöckmann² — ¹Université Côte d’Azur, CNRS, Institut de Physique de Nice (InPhyNi), 06108 Nice, France — ²Fachbereich Physik der Philipps-Universität Marburg, D-35032 Marburg, Germany

Recently an experimental realization of a system with a symplectic symmetry T, T² = −1, was demonstrated [1], showing for the first time, e.g., typical level repulsion of s⁴ in accordance with the Gaussian Symplectic Ensemble (GSE). It is based on a division of the whole graph into two Gaussian unitary subsystems (GUE) being the complex conjugate of each other. The coupling between these is realized by a set of microwave bonds connecting them to each other. Choosing the coupling appropriately one can realize anti-unitary symmetries of type T² = −1, T² = 1, or no symmetry at all as well as a transition between them.

We will present how this transition behaves in the experimentally relevant case of a minimal number of bonds. In order to see the convergence to the corresponding Wigner predictions we accompany the experimental works with numerical random matrix simulations [2]. It allows to investigate the transition from GSE via GUE to the Gaussian Orthogonal Ensemble (GOE) by varying a phase difference between the coupling bonds.
A. Rehemanjiang et. al., Phys. Rev. Lett. 117, 064101 (2016)
A. Rehemanjiang et. al., arXiv:1708.06236 [quant-ph]