Phenomenological description of the vortex density in rotating BEC superfluids

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We propose a phenomenological equation for the vortex line density in rotating Bose-Einstein condensates as a function of the angular speed. This equation provides a simple description of the gross features of the increase in vortex number from the appearance of the first vortex to the theoretical rigid-body result for high vortex density, and allows one to compare with analogous situations in superfluid helium, after the suitable changes in the relevant parameters are made.
11 pages, 3 figures

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