Abstract
In this study, we continue to consider stochastic processes in the atom-field interaction for two atoms-two fields interaction subject to random phase telegraph noise. An exact solution to the system is obtained by Jaynes-Cumming Model to study the entanglement properties of the three-partite entanglement of two atoms-field sub-system. The fidelity is adopted to evaluate the entanglement properties. We observe that two atoms-field subsystem interaction does not entangle under the noise.