Time Delay Correlations in Chaotic Scattering: Random Matrix Approach

摘要

We study the correlations of time delays in a model of chaotic resonancescattering based on the random matrix approach. Analytical formulae which arevalid for arbitrary number of open channels and arbitrary coupling strengthbetween resonances and channels are obtained by the supersymmetry method. Wedemonstrate that the time delay correlation function, though being not aLorentzian, is characterized, similar to that of the scattering matrix, by thegap between the cloud of complex poles of the $S$-matrix and the real energyaxis.