Analytical results for a trapped, weakly-interacting Bose-Einstein condensate under rotation

Details Analytical results for a trapped, weakly-interacting Bose-Einstein condensate under rotation Analytical results for a trapped, weakly-interacting Bose-Einstein condensate under rotation

2000-05-09

arxiv.org/abs/cond-mat/0005159v1

Phys. Rev. Lett., 85 (2000) 2854

Physics

Condensed Matter

3 pages, RevTex

Scientific paper

10.1103/PhysRevLett.85.2854

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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