Quantum Theory of Femtosecond Soliton Propagation in Single-Mode Optical Fibers

In this paper we have derived the generalized QNLS equation with considering the third-order dispersion andKerr dispersion,which can be applicable to the femtosecond regime and is suitable for discussing the quantum propertiesof femtosecond solitons in single-mode optical fibers,as compared with its classical counterpart.This quantum operatorequation can be solved by many methods such as the linearized perturbations and phase-space methods.Moreover,owingto the fact that this quantum equation is rather similar to its classical counterpart,all these methods can be facilitatedto a great extent by citing correctly the classical results obtained before.