The Effect of the Depopulation Rate Parameters on the Remaining Atoms in the Bose-Einstein Condensation

The number of remaining atoms in the 87𝑅𝑏 Bose-Einstein Condensation (BEC) is investigated in this paper with respect to the effect of the depopulation rate parameters that include the detuning frequency and the Rabi frequency, the point of extraction and the period of output coupling. This study is considered as an expanded study of the number of remaining atoms in relation to the effect of these parameters. The generalized rate equation obtained by F. Gerbier 𝑒𝑡. 𝑎𝑙 in 2001 have been modified and numerically solved. We have found an equation for calculating the amount of shift in the detuning frequency, which appears due to the absence of enough precise experimentally knowledge on the offset trapping potential. The comparison between our results with the available experimental data was satisfactory.