Quantum statistical properties of photon and phonon fields in non-degenerate hyper-Raman scattering

The complete normal quantum characteristic function is calculated in the short-time approximation from which fluctuations in separate modes and correlations among them were deduced. The results obtained are particularly discussed from the view-point of anticorrelation (antibunching) assuming that (i) the phonon mode is initially chaotic whereas the photon modes are initially coherent, and (ii) the laser mode is initially coherent whereas all other modes are initially chaotic. (author)