Dynamical behaviors of two-photon non-degenerate Jaynes-Cummings model by Heisenberg picture

Abstract The two-photon non-degenerate Jaynes-Cummings models are investigated by Heisenberg picture. By solving the Heisenberg equations, the exact solutions are obtained. The dynamical behaviors of the relevant operators are analyzed and demonstrated as a function of the interaction time. It is shown that cross-correlation functions between two different modes can be easily derived from our solutions.