Modeling of Atomic Motion by Random Shifts of Transition Frequencies in the Method of Coupled Oscillators

The effect of atomic motion on the optical properties of atomic ensembles cooled in special laser traps was analyzed. The possibility was studied to model the continuous displacement of atoms under the assumption of stationary coupled oscillators, in which slow motion is modeled, firstly, by averaging over their random spatial distribution, and, secondly, by introducing a random shift of their frequencies, modeling Doppler effects. A direct comparison of the results obtained taking into account the continuous displacement of atoms with the model ones revealed a very limited range of applicability of the latter.