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We study the dynamics of cold molecule formation via photo- or magneto-association of quantum degenerate atomic
gases for the case when the field configuration is defined by the quasi-linear level crossing Demkov-Kunike model,
which is characterized by a bell-shaped pulse and finite variation of the frequency detuning. We generalize the approach
developed for the Landau-Zener model and propose a cubic polynomial equation for the asymptotic transition probability
at t → + ∞ applicable in the large detuning regime of the interaction process. The proposed approximation applies to all
values of the Rabi frequency; hence, it presents a unified description of previously noticed weak, moderate, and strong
interaction limits of the fast sweep regime. This cubic equation for the transition probability provides improvement of
previous results by an order of the magnitude.
A. Ishkhanyan
"Demkov-Kunike model in cold molecule formation", Proc. SPIE 7998, International Conference on Laser Physics 2010, 79980T (4 March 2011); https://doi.org/10.1117/12.890515
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A. Ishkhanyan, "Demkov-Kunike model in cold molecule formation," Proc. SPIE 7998, International Conference on Laser Physics 2010, 79980T (4 March 2011); https://doi.org/10.1117/12.890515