Vortex Lattice Inhomogeneity in Spatially Inhomogeneous Superfluids

Details Vortex Lattice Inhomogeneity in Spatially Inhomogeneous Superfluids Vortex Lattice Inhomogeneity in Spatially Inhomogeneous Superfluids

2004-02-26

arxiv.org/abs/cond-mat/0402637v2

Phys. Rev. A 70, 051602(R) (2004)

Physics

Condensed Matter

Statistical Mechanics

5 RevTeX pgs,2 figures, published version

Scientific paper

10.1103/PhysRevA.70.051602

A trapped degenerate Bose gas exhibits superfluidity with spatially nonuniform superfluid density. We show that the vortex distribution in such a highly inhomogeneous rotating superfluid is nevertheless nearly uniform. The inhomogeneity in vortex density, which diminishes in the rapid-rotation limit, is driven by the discrete way vortices impart angular momentum to the superfluid. This effect favors highest vortex density in regions where the superfluid density is most uniform (e.g., the center of a harmonically trapped gas). A striking consequence of this is that the boson velocity deviates from a rigid-body form exhibiting a radial-shear flow past the vortex lattice.

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