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GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. II: Dynamics and stochastic simulations. (English) Zbl 1344.82004
Summary: GPELab is a free Matlab toolbox for modeling and numerically solving large classes of systems of Gross-Pitaevskii equations that arise in the physics of Bose-Einstein condensates. The aim of this second paper, which follows [the authors, “GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations I: Computation of stationary solutions”, ibid. 185, No. 11, 2969–2991 (2014; doi:10.1016/j.cpc.2014.06.026)], is to first present the various pseudospectral schemes available in GPELab for computing the deterministic and stochastic nonlinear dynamics of Gross-Pitaevskii equations [the first author et al., ibid. 184, No. 12, 2621–2633 (2013; Zbl 1344.35130)]. Next, the corresponding GPELab functions are explained in detail. Finally, some numerical examples are provided to show how the code works for the complex dynamics of BEC problems.

MSC:
82-04 Software, source code, etc. for problems pertaining to statistical mechanics
82C80 Numerical methods of time-dependent statistical mechanics (MSC2010)
82-08 Computational methods (statistical mechanics) (MSC2010)
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
35Q55 NLS equations (nonlinear Schrödinger equations)
Software:
GPELab; Matlab
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