Numerical solution to the time-dependent Gross-Pitaevskii equation

Abstract

We solve the time-dependent Gross-Pitaevskii equation modeling the dynamics of the Bose-Einstein condensate trapped in one-dimensional and two-dimensional harmonic potentials using the split-step technique combined with a pseudospectral representation. We apply this method to the simulation of condensate breathing when an inter-particle interaction in the system is not too strong.Comment: 11 pages, 8 figure