QUANTUM-THEORY OF 2-MODE INTERACTION IN O PTICALLY ANISOTROPIC MEDIA WITH CUBIC NONLINEARITY - GENERATION OF QUADRATURE-SQUEEZED AND POLARIZATION-SQUEEZED LIGHT

The quantum theory of propagation of two electromagnetic waves in an a nisotropic medium with cubic nonlinearity has been developed. It is sh own that in the general case the process is described by the Hamiltoni an written for an anisotropic two-dimensional anharmonic oscillator. I t is found that the degree of suppression of quantum fluctuations in t he quadrature component of the wave decreases in the presence of anoth er wave. When the nonlinear phase additions related to self-action of the waves are different, a formation of the nonclassical state of ligh t polarization is possible in which the variances of quantum fluctuati ons in one of the Stokes parameters are less than in the coherent stat e.