Semiclassical quantization of the electromagnetic field confined in a Kerr-effect nonlinear cavity

Abstract

We obtain stationary solution for optical solitons propagating in a Kerr-effect nonlinear cavity using elliptic functions and quantize them semiclassically. On invoking box boundary conditions, a constraint relating the number of particles, wavelength, and a parameter associated with the elliptic function emerges. This constraint fundamentally modifies the binding energy of the soliton and lends the system a rich plethora of solution types with diverse behavior as a function of excitation number. We also speculate on how the bright soliton can thermalize through a path of frequency conversion.