Asymptotic solutions to the Gross-Pitaevskii gain equation: Growth of a Bose-Einstein condensate

An asymptotic solution to the Gross-Pitaevskii equation, describing the early stages of condensate growth in a trap was found. It was found that a growing nonequilibrium condensate has a nonuniform momentum distribution across the condensed region. The solution also predicts the amplified center-of-mass oscillations, leading to enhanced center-of-mass temperature.