Demkov-Kunike model in cold molecule formation

A. Ishkhanyan

doi:10.1117/12.890515

4 March 2011 Demkov-Kunike model in cold molecule formation

A. Ishkhanyan

Proceedings Volume 7998, International Conference on Laser Physics 2010; 79980T (2011) https://doi.org/10.1117/12.890515
Event: International Conference on Laser Physics 2010, 2010, Ashtarak, Armenia

Abstract

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.

Citation Download Citation

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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