QUANTUM STATISTICS AND DYNAMICS OF KERR NONLINEAR COUPLERS

We investigate a codirectional nonlinear coupler composed of two Kerr nonlinear waveguides taking into account linear as well as nonlinear c oupling. We calculate quadrature, principal squeezing and integrated i ntensity variances and quadrature uncertainty product, taking into acc ount effects of transmission of light between waveguides in a closed a nalytical way in rotating-wave approximation. Incident beams are assum ed to be coherent. We show that the coupler can exhibit various quantu m properties such as collapses and revivals of oscillations, squeezing of vacuum fluctuations and sub-poissonian photon statistics in single as well as in compound modes, The field can periodically return to a pure state, The dynamics of energy exchange between waveguides, of sel f-trapping of beams and collapses and revivals are discussed and a pos sibility of compensation of nonlinear coupling and self-action process es is demonstrated in competition with linear coupling.