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The stochastic Gross-Pitaevskii equation and some applications

  • Physics of Cold Trapped Atoms
  • Published:
Laser Physics

Abstract

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.

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  1. School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, UK

    S. P. Cockburn & N. P. Proukakis

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  1. S. P. Cockburn
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Cockburn, S.P., Proukakis, N.P. The stochastic Gross-Pitaevskii equation and some applications. Laser Phys. 19, 558–570 (2009). https://doi.org/10.1134/S1054660X09040057

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