Quantum Dynamics of Non-Degenerate Parameter Decay in an Optical Cavity

The quantum dynamics of the number of photons, of the quantum entropy, and the Wigner functions of field interacting modes are studied for the process of non-degenerate parametric decay in an optical cavity, where a quantum with energy decays into two photons with energies and ( ). It is shown that the mode with frequency can localize in a squeezed state in the region of very strong coupling between the interacting modes, and the modes with frequencies and localize in states that are statistical mixtures of Fock states regardless of the value of the coupling coefficient