Statistics of parametrically excited photon--added coherent states

Abstract

Photon distribution function, means and dispersions are found explicitly for the nonclassical state of light which is created from the photon--added coherent state $|\alpha ,m⟩$ due to a time--dependence of the frequency of the electromagnetic field oscillator. Generating function for factorial momenta is obtained. The Wigner function and Q--function are constructed explicitly for the excited photon--added coherent state of light. Influence of added photons on known oscillations of photon distribution function for squeezed light is demonstrated. oscillator are considered.

16 pages,LATEX,12 figures, preprint of Naples University, INFN-NA-IV-94/33,DSF-T-94/33