FRACTIONAL REVIVALS IN OPTICAL PARAMETRIC INTERACTIONS

A study is presented of the long-time dynamical behaviour of the degen erate parametric oscillator in the semiclassical and quantum regimes f or various initial conditions. It is shown that the eigenstates of the trilinear Hamiltonian lead to the collapse and revival phenomena as w ell as the novel phenomena of fractional revivals in the photon statis tics of the field modes. It is also demonstrated that fractional reviv als become more prominent if the pump mode possesses sub-Poissonian st atistics.