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arXiv 1202.6449cond-mat.quant-gas
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囚禁玻色-爱因斯坦凝聚体中涡旋的微扰行为

Perturbative behaviour of a vortex in a trapped Bose-Einstein condensate

Lyndon Koens, Andrew M. Martin

摘要:

我们导出了一组描述玻色-爱因斯坦凝聚体中单个扰动涡线的形状和行为的方程。通过使用一个匹配的渐近展开和一个独特的坐标变换的关系,一个漩涡的速度,任何地方沿线,被发现在该位置的捕获,旋转和扭曲的线。这个关系然后被用来找到一组微分方程,给出线的特定形状和运动。这项工作纠正了阿纳托利A. Svidzinsky和Alexander L. Fetter [Phys. Rev. A \textbf{62},063617(2000)],并能够与最近的数值结果进行比较。

英文摘要:

We derive a set of equations that describe the shape and behaviour of a single perturbed vortex line in a Bose-Einstein condensate. Through the use of a matched asymptotic expansion and a unique coordinate transform a relation for a vortex's velocity, anywhere along the line, is found in terms of the trapping, rotation, and distortion of the line at that location. This relation is then used to find a set of differential equations that give the line's specific shape and motion. This work corrects a previous similar derivation by Anatoly A. Svidzinsky and Alexander L. Fetter [Phys. Rev. A \textbf{62}, 063617 (2000)], and enables a comparison with recent numerical results.

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