On the dynamics of point vortices in a quantum gas confined in an annular region

Details On the dynamics of point vortices in a quantum gas confined in an annular region On the dynamics of point vortices in a quantum gas confined in an annular region

2007-08-14

arxiv.org/abs/0708.1898v3

Physics

Condensed Matter

Statistical Mechanics

14 pages, 4 figures. A new version of the original paper

Scientific paper

The dynamics of one and two pointlike vortices in a planar quantum gas of spin-0 particles confined in an annular region is considered. New analytical and numerical solutions are found. The concept of stationarity radius, related to the doubly connected nature of the annulus, is defined. It is seen that the existence of these radii has great impact on the behaviour of the vortices. It is shown that, because of the existence of the stationarity radii, vortices exhibit similar behaviour regardless of the sign of their winding number. The energetically stable vortex solutions are studied qualitatively.

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