Stark effect in nonlinear Jaynes-Cummings models

Abstract

We investigate the effect of the Stark shifts on the atomic-inversion dynamics when a multilevel atom interacts with a two-mode quantized radiation field. We utilize Hamiltonians obtained by adiabatically eliminating all but two of the atomic levels and including terms that give rise to the Stark shifts for a Raman-type process as well as for equal- and unequal-frequency two-photon absorption. We find that the Stark effect is relatively unimportant for Raman scattering but should not be ignored in equal- or unequal-frequency absorption. In equal-frequency absorption, the atomic dynamics can be made exactly periodic through an appropriate choice of detuning.