Correlations in chaotic scattering systems in the regime of weakly overlapping resonances

Florian Schäfer

Technische Universität Darmstadt, Institut für Kernphysik, Darmstadt, Germany

to be announcedUsing a chaotic microwave billiard connected to a vector network analyzer we measured complex valued transmission and reflection spectra with two antennas acting as single scattering channels. The resulting scattering (S-) matrix elements serve as the basis for the investigation of properties of higher-order correlation functions. It is by now well established that for chaotic microwave billiards with and without time-reversal invariance the autocorrelation function of pairs of complex conjugate S-matrix elements can be described by random matrix results based on the supersymmetry method. However, little is known on the properties of higher-order correlation functions, viz. the three- and four-point functions. The current work presents experimental results and sheds some light on the theoretical treatment.

This work was supported by the DFG within the SFB 634.

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