Motion of a vortex line near the boundary of a semi-infinite uniform condensate

Details Motion of a vortex line near the boundary of a semi-infinite uniform condensate Motion of a vortex line near the boundary of a semi-infinite uniform condensate

2006-05-26

arxiv.org/abs/cond-mat/0605648v1

Physics

Condensed Matter

Soft Condensed Matter

submitted to Phys Rev A

Scientific paper

10.1103/PhysRevA.74.043611

We consider the motion of a vortex in an asymptotically homogeneous condensate bounded by a solid wall where the wave function of the condensate vanishes. For a vortex parallel to the wall, the motion is essentially equivalent to that generated by an image vortex, but the depleted surface layer induces an effective shift in the position of the image compared to the case of a vortex pair in an otherwise uniform flow. Specifically, the velocity of the vortex can be approximated by $U \approx (\hbar/2m)(y_0-\sqrt 2 \xi)^{-1}$, where $y_0$ is the distance from the center of the vortex to the wall, $\xi$ is the healing length of the condensate and $m$ is the mass of the boson.

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