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首页> 外文期刊>Journal of Experimental and Theoretical Physics >Strong-coupling regime of the nonlinear landau-zener problem for photo- and magnetoassociation of cold atoms
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Strong-coupling regime of the nonlinear landau-zener problem for photo- and magnetoassociation of cold atoms

机译：冷原子光和磁缔合的非线性朗道-齐纳问题的强耦合机制

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We discuss the strong-coupling regime of the nonlinear Landau-Zener problem occurring at coherent photo- and magneto-association of ultracold atoms. We apply a variational approach to an exact third-order nonlinear differential equation for the molecular state probability and construct an accurate approximation describing the time dynamics of the coupled atom-molecule system. The resultant solution improves the accuracy of the previous approximation [22]. The obtained results reveal a remarkable observation that in the strong-coupling limit, the resonance crossing is mostly governed by the nonlinearity, while the coherent atom-molecule oscillations occurring soon after crossing the resonance are principally of a linear nature. This observation is supposedly general for all nonlinear quantum systems having the same generic quadratic nonlinearity, due to the basic attributes of the resonance crossing processes in such systems. The constructed approximation turns out to have a larger applicability range than it was initially expected, covering the whole moderate-coupling regime for which the proposed solution accurately describes ail the main characteristics of the system evolution except the amplitude of the coherent atom-molecule oscillation, which is rather overestimated.
机译：我们讨论了在超冷原子的光和磁缔合时发生的非线性Landau-Zener问题的强耦合机制。我们将变分方法应用于分子态概率的精确三阶非线性微分方程，并构造一个精确的近似值来描述耦合的原子-分子系统的时间动态。所得解决方案提高了先前近似值的准确性[22]。所得结果表明，在强耦合极限下，共振交叉主要由非线性决定，而在共振后不久发生的相干原子-分子振荡主要是线性的。由于这种系统中共振交叉过程的基本属性，这种观察据认为对于具有相同一般二次非线性的所有非线性量子系统都是普遍的。所构造的近似值比最初预期的具有更大的适用范围，涵盖了整个中度耦合机制，对于该机制，所提出的解决方案准确地描述了系统演化的主要特征，除了相干原子-分子振荡的幅度，这被高估了。

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