Analytical results for a trapped, weakly-interacting Bose-Einstein condensate under rotation
arXiv:cond-mat/0005159 · doi:10.1103/PhysRevLett.85.2854
Abstract
We examine the problem of a repulsive, weakly-interacting and harmonically trapped Bose-Einstein condensate under rotation. We derive a simple analytic expression for the energy incorporating the interactions when the angular momentum per particle is between zero and one and find that the interaction energy decreases linearly as a function of the angular momentum in agreement with previous numerical and limiting analytical studies.
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