title: Analytical results for the interaction energy of a trapped, weakly interacting Bose-Einstein condensate.
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.
authors.affiliation: Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark.
authors.forename: A D
authors.initials: AD
authors.lastname: Jackson
authors.forename: G M
authors.initials: GM
authors.lastname: Kavoulakis