论文标题
搅拌玻色爱因斯坦冷凝水中涡旋的成核和运动学
Nucleation and kinematics of vortices in stirred Bose Einstein condensates
论文作者
论文摘要
我们将Halperin-Mazenco形式主义应用于毛taevskii理论中，以表征二维搅拌的Bose Einstein冷凝物中量子涡流的运动学和成核。我们引入了测量超流体涡度的平滑缺陷密度场，并且是拓扑保守的数量。我们使用此缺陷密度场及其相关的电流密度来研究障碍物的排斥潜力内发生的前体模式形成，并确定涡旋成核和脱落的发作。我们证明，即使在没有涡旋成核的情况下，也要在硬势内部形成相位滑动，而对于软电位，它们仅出现在临界搅拌速度以上，从而导致涡旋成核。 Halperin-Mazenco形式主义提供了一种优雅而准确的方法，可以直接从Gross-Pitaevskii方程中得出点涡流动态。
We apply the Halperin-Mazenco formalism within the Gross-Pitaevskii theory to characterise the kinematics and nucleation of quantum vortices in a two-dimensional stirred Bose Einstein condensate. We introduce a smooth defect density field measuring the superfluid vorticity and is a topologically conserved quantity. We use this defect density field and its associated current density to study the precursory pattern formations that occur inside the repulsive potential of an obstacle and determine the onset of vortex nucleation and shedding. We demonstrate that phase slips form inside hard potentials even in the absence of vortex nucleation, whereas for soft potentials they occur only above a critical stirring velocity leading to vortex nucleation. The Halperin-Mazenco formalism provides an elegant and accurate method of deriving the point vortex dynamic directly from the Gross-Pitaevskii equation.
