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

P. D. Drummond·K. V. Kheruntsyan
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Abstract

We give an asymptotic analytic solution for the generic atom-laser system with 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 creates 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.

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P. D. Drummond, K. V. Kheruntsyan. 2001-10-26. Asymptotic solutions to the Gross-Pitaevskii gain equation: growth of a Bose-Einstein condensate. https://doi.org/10.1103/physreva.63.013605

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