Exact Solutions for Two-Photon Jaynes-Cummings Model with Dynamic Stark-Shifts
Hiroshi Iwasawa, Kuniaki Matsuo · Journal of the Physical Society of Japan · 1999
The solutions for the degenerate two-photon Jaynes-Cummings model are investigated in the presence of the dynamic Stark-shifts. By using the Heisenberg equations of motion, the operator differential equations are established from the effective Hamiltonian. The exact solutions for these operators are derived and the effects of the Stark-shifts on the atomic and field dynamics are discussed. Especially, the behavior of the atomic population difference for the simplest case is demonstrated.