论文标题
中性涡旋项链中的一个被困的平面超流体
Neutral vortex necklace in a trapped planar superfluid
论文作者
论文摘要
我们研究了由带有交替符号的涡流环组成的量子涡流状态，在局限于圆形结构域的均匀超流体中。我们找到了中性涡旋项链的点涡流模型的精确静止解。我们研究了项链状态在点 - 涡流模型中的稳定性和描述在低温下捕获的原子玻色子凝结物的毛状质量方程。如果考虑到外流体边界的有限厚度，则发现点 - 涡流固定状态也是总比塔维斯基方程的固定状态。在明显的扰动下，总比塔维斯基的进化和点 - 涡流模型表现出不稳定的稳定状态。扰动的涡旋项链表现出对扰动的敏感性，这表明是播种涡流混乱或量子湍流的途径。
We study quantum vortex states consisting of a ring of vortices with alternating sign, in a homogeneous superfluid confined to a circular domain. We find an exact stationary solution of the point vortex model for the neutral vortex necklace. We investigate the stability of the necklace state within both the point-vortex model and the Gross-Pitaevskii equation describing a trapped atomic Bose-Einstein condensate at low temperature. The point-vortex stationary states are found to also be stationary states of the Gross-Pitaevskii equation provided the finite thickness of the outer fluid boundary is accounted for. Under significant perturbation, the Gross-Pitaevskii evolution and point-vortex model exhibit instability as expected for metastable states. The perturbed vortex necklace exhibits sensitivity to the perturbation, suggesting a route to seeding vortex chaos or quantum turbulence.
