论文标题
固定状态，动力稳定性和在倾斜的旋转谐波陷阱中凝结的玻璃体凝结物的涡度
Stationary states, dynamical stability, and vorticity of Bose-Einstein condensates in tilted rotating harmonic traps
论文作者
论文摘要
从理论上讲，我们研究了由旋转的谐波陷阱限制的玻色网凝结物，其旋转轴未与其任何主轴对齐。发现所得固定溶液的Thomas-Fermi密度曲线的主要轴相对于旋转陷阱的固定溶液倾斜，这代表了与任何给定旋转轴对齐的其他固定溶液的其他分支相关的额外自由度。通过线性化有关固定状态的时间依赖性理论，我们可以在高旋转频率下针对由环境扰动引起的集体模式获得半分析预测。将固定状态与直接模拟总体底塔维斯基方程进行比较，我们预测了动态不稳定的旋转状态中量子涡度的成核。尽管旋转陷阱倾斜，但这些涡流线还是沿旋转轴对齐，尽管背景密度相对于陷阱和旋转轴倾斜。
We theoretically investigate a Bose-Einstein condensate confined by a rotating harmonic trap whose rotation axis is not aligned with any of its principal axes. The principal axes of the Thomas-Fermi density profiles of the resulting stationary solutions are found to be tilted with respect to those of the rotating trap, representing an extra degree of freedom that is associated with the existence of additional branches of stationary solutions for any given rotation axis alignment. By linearizing the time-dependent theory about the stationary states, we obtain a semi-analytical prediction of their dynamical instability at high rotation frequencies against collective modes arising from environmental perturbations. Comparing the stationary states to direct simulations of the Gross-Pitaevskii equation, we predict the nucleation of quantum vortices in the dynamically unstable rotational regime. These vortex lines are aligned along the rotation axis despite the tilting of the rotating trap although the background density profile is tilted with respect to the trapping and rotation axes.
