The Emission Spectrum Of The Trapped Atom Driven By A Single Mode Radiation Field

With the rapid development of laser cooling and the atomic (ionic) trapping technique, much attention has been paid on the system of the trapped atom (ion) interacting with the radiation field. The emission spectrum of the trapped atom reveals not only the alteration of the atomic emission properties due to the driving field and the atomic center-of-mass (cm.) motion but also the efiFects of the atomic cm. motion on the interaction between the atom and the field.The emission spectrum a harmonically trapped two-level atom driven by a single mode standing-wave field with small Lamb-Dicke parameter is investigated, we discuss the effects of the atomic c.m. motion on the emission spectrum. We show that the atomic c.m motion don't affect the atomic spectrum phase sensitivity when there is no correlation between atomic cm. motion and the field. With the increase of the average energy for atomic cm. motion, the peaks of the emission spectrum move towards each other, their heights change according to the state of the field and atomic motion. While there is correlation between atomic c.m. motion and the field, the atomic spectrum becomes insensitive to the relative phase between the field and the atomic dipole. In some certain conditions, there are fewer peaks that become higher and narrow.We have also investigated the emission spectrum of a harmonically trapped two-level atom driven by a single mode running-wave field, the Hamiltonian of the system and the generalized expression of the emission spectrum are given with different detuning parameter. We have shown that the emission spectrum of the harmonically trapped atom is closely dependent on the initial state of the system, Lamb-Dicke parameter and the detuning parameter.