2019/02/15 by Jürgen Geiser, Geiser, Juergen, Amirbahador Nasari +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Strong Light-Matter Interactions
paper · pdf · doi:10.48550/arxiv.1902.05716
In this paper, we discuss the different splitting approaches to solve the Gross-Pitaevskii equation numerically. We consider conservative finite-difference schemes and spectral methods for the spatial discretisation. Further, we apply implicit or explicit time-integrators and combine such schemes with different splitting approaches. The numerical solutions are compared based on the conservation of the L2-norm with the analytical solutions. The advantages of the splitting methods for large time-domains are presented in several numerical examples of different solitons applications.