超冷偶极气体的各方面研究引起了人们的广泛兴趣。相关的极性分子制备和偶极碰撞研究是国际前沿课题之一。本项目拟研究两个具体问题：一个是束缚势阱中碱金属原子与闭壳层原子超冷碰撞的磁性Feshbach共振；另一个是超冷偶极碰撞中的量子混沌问题，这是一个崭新课题。拟采用的方法包括量子耦合通道计算和相应的模型研究，以及来自半经典近似的物理见解。关于磁性Feshbach共振的研究将有助于碱金属原子与闭壳层原子在光晶格势阱中的磁缔合实验，目前还未见报道。形成的分子同时具有电偶和磁偶极矩，是超冷偶极气体研究的理想选择之一。在量子混沌问题的研究中，我们考察不同情况下的偶极相互作用、各向异性色散力以及外加磁场带来的物理效应，尤其是量子－经典对应的基本问题。预期成果将极大地丰富人们对超冷偶极碰撞中各种量子混沌特征的理解和认识，对相关的实验研究具有重要意义。本项目研究与国际最新进展高度契合，有望在未来发挥关键作用。

There is currently broad interest in many-facets exploration of ultracold dipolar gas. The relevant studies on the polar-molecules formation and ultracold dipolar collisions are among the cutting-edge topics. This proposal addresses two specific problems. First, the magnetic Feshbach resonances are to be studied for ultracold collision between alkali-metal and closed-shell atoms trapped by a confined potential well. Second, we will explore the problem of quantum chaos in ultracold dipolar collisions, which is a newly emerged topic. The approaches to be used include quantum coupled-channel calculations and appropriate model studies, as well as the insights from semiclassical approximation. Our studies on the magnetic Feshbach resonances could provide helpful guidance for experiments of magnetoassociation between alkali-metal and closed-shell atoms in an optical lattice, which has not been reported so far. The formed molecules possess both electric and magnetic dipole moments, providing an ideal candidate for the studies of ultracold dipolar gas. For the exploration of quantum chaos in ultracold dipolar collisions, we will examine the physical effects caused by the dipole-dipole interaction, the anisotropic dispersion force and also the applied magnetic field in different situations, with an emphasis on the fundamental issue regarding the classical-quantum correspondence. The obtained results will largely enrich our knowledge in understanding the various features of quantum chaos in ultracold dipolar collisions, holding important implications for the relevant experiments. The studies proposed here are highly consistent with the latest progress worldwide, and are expected to play a critical role in the next stage of exploration.