Abstract
We investigate the dynamical behavior of a three-level moving atom interacting with a laser field. We show that the sensitivity of atomic dynamics can be considerably improved by exploiting the spatial dependence of moving atoms within the framework of the homotopy perturbation method. The dynamics of the system is analyzed as well as the effect of various parameters including detuning and dephasing rate. The spatial dependence approach has the same properties as the time-dependent approach, but it is preferable when the time-scale is very small. The very sensitive dependence and the role of the off-resonant interaction are highlighted.