The study of quantum noise of four-wave mixing process of entangled photon generation within a nonlinear fiber optic ring resonator

Abstract

The three types of Hamiltonian describing photon-photon and photon-phonon interactions within an optical ring resonator in which quantum noise in fiber optics is generated are given. The Markov-Born approximation and +P representation of photon states in phase space are used in order to eliminate the reservoir state variables by substituting all into the master equation to get the coresponding Fokker-Planck equation. The corresponding Langevin equation describing evolution of quantum states of an entangled photon is analyzed. The optimum results show that the occuring quantum noise can be reduced from the three main parameters where the surviving polarized entangled photon can propagate in the fiber optic system for a long time until photon processings are attained.