标题： 玻色-爱因斯坦凝聚中的合成磁流体动力学和涡旋生成的途径 显示英文标题

标题： Synthetic magneto-hydrodynamics in Bose-Einstein condensates and routes to vortex nucleation

摘要： 在玻色-爱因斯坦凝聚体中合成磁通量的工程 [Lin 等，Nature {\bf 462}，628 (2009)] 有望实现必要的高涡旋密度，以模拟分数量子霍尔效应。 我们分析地确定了在均匀合成磁场中的凝聚体的流体力学行为，包括其密度和速度分布。 重要的是，我们发现实验中观察到的涡旋成核的开始对应于流体力学解中的动力不稳定性，并揭示了其他不稳定性途径和预期的涡旋成核。 显示英文摘要

摘要： Engineering of synthetic magnetic flux in Bose-Einstein condensates [Lin et al., Nature {\bf 462}, 628 (2009)] has prospects for attaining the high vortex densities necessary to emulate the fractional quantum Hall effect. We analytically establish the hydrodynamical behaviour of a condensate in a uniform synthetic magnetic field, including its density and velocity profile. Importantly, we find that the onset of vortex nucleation observed experimentally corresponds to a dynamical instability in the hydrodynamical solutions and reveal other routes to instability and anticipated vortex nucleation.