Influence on Atomic Inversion Evolution in Medium System from Compton Scattering

In Jaynes-Cummings model, by using the modulation of the coupling coefficient formed by the atom, medium and scattering optical, atomic inversion evolution of arbitrary forms has been worked out. Its feasibility has been proved, and the curvature of the atomic inversion evolution of the arbitrary forms is obtained. It announces that the atom and coupling medium system are to express the operators of the atom and optical field quantum in Jaynes-Cummings model. These operators can express arbitrary medium system. In these systems, the coupling coefficient can be changed and exactly controlled in the longer coherent times.