Quantum properties of the parametric amplifier with and without pumping field fluctuations

The parametric amplifier with and without the pumping fluctuations of coupl ing function is considered when the fields are initially prepared in cohere nt light. The pumping fluctuations are assumed to be normally distributed w ith time-dependent variance. The effects of antibunching and anticorrelatio n of photons on the photon distribution, correlation between modes and fact orial moments are demonstrated. A possible enhancement of photon antibunchi ng for certain values of initial mean photon numbers is shown and discussed . We have shown also that new states (called modified squeezed vacuum state s or even thermal states) can be generated from such an interaction. Furthe r, we have demonstrated that the sum photon-number distribution can exhibit collapses and revivals in the photon-number domain somewhat similar to tho se known in the Jaynes-Cummings model. (C) 2001 Elsevier Science B.V. All r ights reserved.