Split-step Fourier methods for the Gross-Pitaevskii equation

2004/11/05 by Juha Javanainen, Janne Ruostekoski · 2 citations
Physics and Astronomy · #cond-mat.soft #cond-mat.stat-mech #nlin.PS #quant-ph

paper · pdf · doi:10.1088/0305-4470/39/12/l02

published as J. Phys. A: Math. Gen. 39 (2006) L179 · 3 pages

arxiv created 2004/11/05 · arxiv updated 2015/06/24

Abstract

We perform a systematic study of the accuracy of split-step Fourier transform methods for the time dependent Gross-Pitaevskii equation using symbolic calculation. Provided the most recent approximation for the wave function is always used in the nonlinear atom-atom interaction potential energy, every split-step algorithm we have tried has the same-order time stepping error for the Gross-Pitaevskii equation and the Schroedinger equation.

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