冷分子形成中的Demkov-Kunike模型
Demkov-Kunike model in cold molecule formation
摘要：
我们研究了量子简并原子气体通过光缔合或磁缔合形成冷分子的动力学，场的配置由准线性能级交叉Demkov-Kunike模型定义，其特征在于钟形脉冲和频率失谐的有限变化。我们推广的方法开发的Landau-Zener模型，并提出了一个三次多项式方程的渐近转移概率在无穷大适用于大失谐制度的相互作用过程。所提出的近似适用于拉比频率的所有值，因此，它提出了一个统一的描述以前注意到的弱，中等，和强相互作用限制的快速扫描制度。这个转移概率的三次方程提供了一个数量级的改进以前的结果。
英文摘要：
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 infinity 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.
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