Pd. Drummond et Kv. Kheruntsyan, Asymptotic solutions to the Gross-Pitaevskii gain equation: Growth of a Bose-Einstein condensate - art. no. 013605, PHYS REV A, 6301(1), 2001, pp. 3605
We give an asymptotic analytic solution for the generic atom-laser system w
ith gain in a D-dimensional trap, and show that this has a non-Thomas-Fermi
behavior. The effect is due to Bose-enhanced condensate growth, which crea
tes a local-density maximum and a corresponding outward momentum component.
In addition, the solution predicts amplified center-of-mass oscillations,
leading to enhanced center-of-mass temperature.