The Projected Gross-Pitaevskii Equation for harmonically confined Bose gases

Details The Projected Gross-Pitaevskii Equation for harmonically confined Bose gases The Projected Gross-Pitaevskii Equation for harmonically confined Bose gases

2004-10-20

arxiv.org/abs/cond-mat/0410496v1

Phys. Rev. A 72, 063608 (2005)

Physics

Condensed Matter

Other Condensed Matter

11 pages, 7 figures

Scientific paper

We extend the Projected Gross Pitaevskii equation formalism of Davis et al. [Phys. Rev. Lett. \bf{87}, 160402 (2001)] to the experimentally relevant case of harmonic potentials. We outline a robust and accurate numerical scheme that can efficiently simulate this system. We apply this method to investigate the equilibrium properties of a harmonically trapped three-dimensional Bose gas at finite temperature, and consider the dependence of condensate fraction, position and momentum distributions, and density fluctuations on temperature. We apply the scheme to simulate an evaporative cooling process in which the preferential removal of high energy particles leads to the growth of a Bose-Einstein condensate. We show that a condensate fraction can be inferred during the dynamics even in this non-equilibrium situation.

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