Abstract
A study is presented of the long-time dynamical behaviour of the degenerate parametric oscillator in the semiclassical and quantum regimes for various initial conditions. It is shown that the eigenstates of the trilinear Hamiltonian lead to the collapse and revival phenomena as well as the novel phenomena of fractional revivals in the photon statistics of the field modes. It is also demonstrated that fractional revivals become more prominent if the pump mode possesses sub-Poissonian statistics.
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