Parametric correlations of the energy levels of ray-splitting billiards - art. no. 036211

Parameter-dependent statistical properties of the spectra of ray-splitting billiards are studied experimentally and theoretically. The autocorrelation functions c(x) and (c) over tilde(omega ,x) of level velocities as well as the generalized conductance C(0) are calculated for two different classica lly chaotic ray-splitting billiards. Experimentally a modified Sinai ray-sp litting billiard is studied consisting of a thin microwave rectangular cavi ty with two quarter-circle-shaped Teflon inserts. The length of the cavity serves as the experimentally adjustable parameter. For the theoretical esti mates of the parametric correlations we compute the quantum spectrum of a s caling triangular ray-splitting billiard. Our experimental and numerical re sults are compared with each other and with the predictions of random matri x theory.