Vortices in a Bose-Einstein condensate are modelled as spontaneously symmetry breaking minimum energy solutions of the time dependent Gross-Pitaevskii equation, using the method of constrained optimization. In a non-rotating axially symmetric trap, the core of a single vortex precesses around the trap center and, at the same time, the phase of its wave function shifts at a constant rate. The precession velocity, the speed of phase shift, and the distance between the vortex core and the trap center, depend continuously on the value of the conserved angular momentum that is carried by the entire condensate. In the case of a symmetric pair of identical vortices, the precession engages an emergent gauge field in their relative coordinate, with a flux that is equal to the ratio between the precession and shift velocities.

玻色-爱因斯坦凝聚中的涡流被建模为自发对称性破坏时间相关 Gross-Pitaevskii 方程的最小能量解，使用约束优化的方法。在非旋转轴对称阱中，单个涡旋的核心围绕阱中心进动，同时其波函数的相位以恒定速率移动。进动速度、相移速度以及涡核与陷阱中心之间的距离，不断取决于整个冷凝物所携带的守恒角动量的值。在一对对称的相同涡旋的情况下，进动在它们的相对坐标中与一个涌现的规范场接合，其通量等于进动速度和位移速度之间的比值。