Non-linear Gross-Pitaevskii dynamics of a 2D binary condensate: a numerical analysis

Abstract

We present a numerical study of the two-dimensional Gross-Pitaevskii systems in a wide range of relevant regimes of population ratios and intra-species and inter-species interactions. Our numerical method is based on a Fourier collocation scheme in space combined with a fourth order integrating factor scheme in time.

Keywords

• Bose-Einstein condensation
• multi-component mixtures
• non-linear GrossPitaevskii system
• Fourier pseudo-spectral method
• integrating factor method