论文标题
I-Spin：具有自相互作用的多组件Schrödinger-Poisson系统的集成商
i-SPin: An integrator for multicomponent Schrödinger-Poisson systems with self-interactions
论文作者
论文摘要
我们为具有SO（$ n $）对称性的数字发展算法和公开代码，以进化数值多组件Schrödinger-Poisson（SP）系统，包括更具吸引力或排斥性的自我互动。专注于SP系统代表大规模矢量场的非相关限制的情况，非重力自我相互作用（尤其是自旋旋转相互作用）引入了与质量和旋转保护相关的复杂性，这些复杂性在纯粹的引力系统中不存在。我们使用算法中的“踢”步骤的分析解决方案来解决它们，在那里我们能够完全将多组分系统解除。配备了这种分析解决方案，全场演化是二阶准确的，可以将旋转和质量保存到机器精度上，并且是可逆的。我们的算法允许扩展与宇宙学相关的宇宙，并包含与实验室环境相关的外部潜力。
We provide an algorithm and a publicly available code to numerically evolve multicomponent Schrödinger-Poisson (SP) systems with a SO($n$) symmetry, including attractive or repulsive self-interactions in addition to gravity. Focusing on the case where the SP system represents the non-relativistic limit of a massive vector field, non-gravitational self-interactions (in particular spin-spin interactions) introduce complexities related to mass and spin conservation which are not present in purely gravitational systems. We address them with an analytical solution for the `kick' step in the algorithm, where we are able to decouple the multicomponent system completely. Equipped with this analytical solution, the full field evolution is second order accurate, preserves spin and mass to machine precision, and is reversible. Our algorithm allows for an expanding universe relevant for cosmology, and the inclusion of external potentials relevant for laboratory settings.
