OSCILLATION AND GENERATION OF NONCLASSICAL STATES IN 3-PHOTON DOWN-CONVERSION

The process of three-photon down-conversion 3 omega --> omega + omega + omega in an optical cavity is analyzed theoretically. A classical fe ature uf this system is a first-order transition of the fundamental mo de above a threshold 3 omega pump power. We calculate the properties o f the intra-and extracavity states using analytical calculations and q uantum trajectory simulations. A positive, non-Gaussian Wigner functio n exhibiting a threefold symmetric is found. Above threshold the Wigne r function displays separate peaks among which tunneling occurs.