Ultracold Scattering in Confined Geometries

我们研究了受限几何中的量子散射，重点是在紧波导中相互作用的超冷原子(分子)系统。我们的方法是通过发展和应用相应的波包传播技术，从头开始研究超冷散射过程的量子动力学。我们将探索从各向同性简谐到各向异性和/或非简谐约束的波导图。超冷原子/分子之间的各种不同可能的相互作用，如短程分子势和长程各向异性偶极相互作用，都将被利用。分析的一个中心工具是单通道和多通道散射情况下光波导中的量子传输和反射特性。可以预见的是，原子/分子在光波导下的新颖散射特性将导致丰富的多体物理。因此，我们期望预测具有不同限制势和相互作用势的超冷系统的新输运性质。应用范围从严密限制2D磁微陷阱或光学偶极陷阱的超冷量子气体，到可能是电子在量子线中的杂质散射。

We investigate quantum scattering in confined geometries with the focus on ultracold atomic (molecular) systems interacting in tight wave guides. Our approach is an ab initio study of the quantum dynamics of the ultracold scattering process by developing and applying corresponding wave packet propagation techniques. Wave guides covering the range of an isotropic harmonic to an anisotropic and/or anharmonic confinement will be explored. The variety of different possible interactions among the ultracold atoms/molecules such as short-ranged molecular potentials and long-range anisotropic dipolar interactions will be exploited. A central tool of the analysis are the quantum transmission and reflection properties in the wave guide in the single as well as the multi-channel scattering regime. It is foreseeable that novel scattering properties of atoms/molecules in the presence of a wave guide will lead to an enriched many-body physics. We therefore expect to predict new transport properties of ultracold systems with varying confinement and interaction potentials. Applications range from ultracold quantum gases in tightly confining 2D magnetic microtraps or optical dipole traps to, possibly, impurity scattering of electrons in quantum wires.