标题： 二维超冷散射的赝势在合成自旋-轨道耦合存在的情况下 显示英文标题

标题： Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling

摘要： 我们推导出一种在二维（2D）情况下存在二维Rashba自旋-轨道耦合（SOC）的伪势，遵循{[}Phys. Rev. A 95, 020702(R) (2017){]}中框架变换的相同理念。框架变换正确描述了由于SOC的存在而产生的非平凡相位积累和部分波耦合，并产生与自由空间不同的伪势，即使SOC的长度尺度远大于两体势的范围。作为应用，我们将我们的伪势与Lippmann-Schwinger方程结合，得到一个解析散射矩阵。为了证明有效性，我们将我们的结果与有限范围势的数值散射计算进行比较，并在广泛的散射能量和SOC强度范围内显示出完美的一致性。我们的结果还表明，我们的伪势与原始自由空间伪势之间的差异对于正确再现散射可观测量是至关重要的。 显示英文摘要

摘要： We derive a pseudopotential in two dimensions (2D) with the presence of a 2D Rashba spin-orbit-coupling (SOC), following the same spirit of frame transformation in {[}Phys. Rev. A 95, 020702(R) (2017){]}. The frame transformation correctly describes the non-trivial phase accumulation and partial wave couplings due to the presence of SOC and gives rise to a different pseudopotential than the free-space one, even when the length scale of SOC is significantly larger than the two-body potential range. As an application, we apply our pseudopotential with the Lippmann-Schwinger equation to obtain an analytical scattering matrix. To demonstrate the validity, we compare our results with a numerical scattering calculation of finite-range potential and show perfect agreement over a wide range of scattering energy and SOC strength. Our results also indicate that the differences between our pseudopotential and the original free-space pseudopotential are essential to reproduce scattering observables correctly.