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The stochastic Gross-Pitaevskii equation and some applications

Lookup NU author(s): Dr Stuart Cockburn, Professor Nikolaos ProukakisORCiD

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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.

Publication metadata

Author(s): Cockburn SP, Proukakis NP

Publication type: Article

Publication status: Published

Journal: Laser Physics

Year: 2009

Volume: 19

Issue: 4

Pages: 558-570

ISSN (print): 1054-660X

ISSN (electronic): 1555-6611

Publisher: MAIK Nauka - Interperiodica

URL: http://dx.doi.org/10.1134/S1054660X09040057

DOI: 10.1134/S1054660X09040057

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