control of the nonclassical properties of the two-mode kerr nonlinear optical system based on the nonlinear coherent states approach

One of the nonlinear optical phenomena which arise out of a χ(3) nonlinearity, is the intensity dependence of the refractive index. in this paper, we describe this phenomenon based on the nonlinear coherent states approach. we show that the deformed two-dimensional oscillator algebra can be used to describe this nonlinear optical system. then, we construct the nonlinear coherent states for this nonlinear optical system and study their quantum statistical properties. finally, we find that by changing nonlinearity of the media, it is possible to control the nonclassical properties of the system.