Quantum statistics of parametric amplification

Quantum statistical properties of the parametric amplification and generation are investigated. The losses are included and the pump field is treated classically. It is shown that the normal counting generating function decomposes into the product of two functions which are the generating functions for the superposition of coherent and chaotic field and that the outputting field exhibits the anticorrelation effect when the phase of incident fields fulfil a certain condition.The authors thank Mrs A.Mikulecká from Laboratory of Computer Science of Palacký University for performing computations.