Phase shift experiments identifying Kramers doublets in a chaotic superconducting microwave billiard of threefold symmetry

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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RevTex 4, 5 figures

Scientific paper

10.1103/PhysRevLett.90.014102

The spectral properties of a two-dimensional microwave billiard showing threefold symmetry have been studied with a new experimental technique. This method is based on the behavior of the eigenmodes under variation of a phase shift between two input channels, which strongly depends on the symmetries of the eigenfunctions. Thereby a complete set of 108 Kramers doublets has been identified by a simple and purely experimental method. This set clearly shows Gaussian unitary ensemble statistics, although the system is time-reversal invariant.

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