Generation of higher-order atomic dipole squeezing in a high-Q micromaser cavity. (V). A linear superposition of states

In our preceding paper, we investigated the generation of higher-order atomic dipole squeezing (HOADS) in a nondegenerate two-photon Jaynes–Cummings model in the absence of Stark shift. In this paper, we continue to study HOADS in this model but with the inclusion of Stark shift. Based on the linear superposition principle of quantum mechanics, we discuss the cases where the atom or the two-mode fields are initially prepared in a superposition of states. We demonstrate that the essential condition for generating HOADS is that the initial state of the system should include phase information, and HOADS cannot appear in atomic spontaneous radiation processes. The Stark shift brings time-dependent phase information into emitted photons and has a significant effect (constructively and destructively) on HOADS. It is found that weakly coupling of the intermediate virtual state to the ground state of the atom would lead to much more squeezing and collapse-revival phenomena. The relation between HOADS and second-order atomic dipole squeezing is also discussed.