论文标题
在存在自旋轨道耦合的情况下，通用散射相移
Universal scattering phase shift in the presence of spin-orbit coupling
论文作者
论文摘要
作为散射理论中的关键参数，散射相位移位在表征超声原子之间低能碰撞方面起着重要作用。在这项工作中，我们从理论上研究了在旋转轨道偶联的情况下冷原子的散射相移的通用低能行为。我们首先构建两体波函数的渐近形式时，当两个费米子与交互范围一样接近时，并触觉地考虑旋转轨道耦合到第二阶的校正，其中引入了新的散射参数。然后，对于弹性碰撞，根据单一散射$ S $矩阵定义散射相移。我们展示了如何通过自旋轨道耦合引入的这些新的散射参数来改变散射相移的低能行为。散射相移的普遍性表现为原子间潜能的特定形式的独立性。新散射参数的显式形式是在球形方势势的模型中分析得出的。我们的方法提供了在存在自旋轨道耦合的情况下散射相移的低能特性的统一描述。
Scattering phase shift, as a key parameter in scattering theory, plays an important role in characterizing low-energy collisions between ultracold atoms. In this work, we theoretically investigate the universal low-energy behavior of the scattering phase shifts for cold atoms in the presence of spin-orbit coupling. We first construct the asymptotic form of the two-body wave function when two fermions get as close as the interaction range, and consider perturbatively the correction of the spin-orbit coupling up to the second order, in which new scattering parameters are introduced. Then for elastic collisions, the scattering phase shifts are defined according to the unitary scattering $S$ matrix. We show how the low-energy behavior of the scattering phase shifts is modified by these new scattering parameters introduced by spin-orbit coupling. The universality of the scattering phase shifts is manifested as the independence of the specific form of the interatomic potential. The explicit forms of the new scattering parameters are analytically derived within a model of the spherical-square-well potential. Our method provides a unified description of the low-energy properties of scattering phase shifts in the presence of spin-orbit coupling.
