论文标题
在合成旋转轨偶联存在下，用于二维超低散射的伪电势
Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling
论文作者
论文摘要
我们遵循{[} phys中的框架转换精神，在两个维度（2D）中得出一个伪电势（2D）。 Rev. A 95，020702（R）（2017）{]}。帧转换正确地描述了由于SOC的存在而导致的非平凡相的积累和部分波耦合，并且即使SOC的长度比两体电位范围明显大，也会产生与自由空间的伪能力不同。作为应用程序，我们将假势与Lippmann-Schinginger方程式应用于获得分析散射矩阵。为了证明有效性，我们将结果与有限范围潜力的数值散射计算进行比较，并在广泛的散射能量和SOC强度上显示出完美的一致性。我们的结果还表明，我们的伪能力和原始自由空间伪电势之间的差异对于正确复制散射观察物至关重要。
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.
