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

A. D. Jackson·G. M. Kavoulakis
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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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A. D. Jackson, G. M. Kavoulakis. 2000-05-09. Analytical results for a trapped, weakly-interacting Bose-Einstein condensate under rotation. https://doi.org/10.1103/physrevlett.85.2854

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