Physics of Cold Trapped Atoms

Laser Physics

, Volume 19, Issue 4, pp 558-570

First online:

The stochastic Gross-Pitaevskii equation and some applications

  • S. P. CockburnAffiliated withSchool of Mathematics and Statistics, Newcastle University Email author 
  • , N. P. ProukakisAffiliated withSchool of Mathematics and Statistics, Newcastle University

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


The stochastic Gross-Pitaevskii equation represents a versatile approach for studying the dynamics of trapped degenerate ultracold Bose gases in the presence of large phase and density fluctuations. Following a brief review of the original formulation of Stoof, which highlights the benefits of this approach and its relation to alternative theories, we present selected applications for the dynamics of effectively one-dimensional systems, and briefly discuss the generalization to two-dimensional systems, highlighting certain potential pitfalls in their numerical implementations.

PACS numbers

03.75.Kk 03.75.Lm 05.10.Gg 67.85.-d