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The talk consists of two parts. In the first part we demonstrate theoretically that microwave billiards can be used to experimentally study PT-symmetric two-channel setups, i.e. PT-symmetric (2x2)-matrix models. This is due to the possibility to embed PT-symmetric matrix Hamiltonians with passive PT-symmetry breaking into the general S-matrix formalism for open multi-channel systems --- with fine-tuned parameter values to ensure PT-symmetry of the effective Hamiltonians.
In this way we are able to provide evidence for hidden PT-symmetric configurations in microwave experiments performed at TU Darmstadt during the last years. This means that beside the two experiments on active and passive PT-symmetry breaking on optical waveguide systems we report on a third type of experiments: passive PT-symmetry breaking in microwave cavities (microwave billiards). In the second part of the talk, we present explicit parametrizations of generalized matrix-type P- and T-symmetry operators for 2x2 matrix Hamiltonians. These parametrizations might turn out useful for future experiments. collaborative work with B. Dietz, H.-L. Harney, A. Richter and F. Schaefer |
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