Split-step Fourier methods for the Gross-Pitaevskii equation
Soft Condensed Matter
2015-06-24 v1 Statistical Mechanics
Pattern Formation and Solitons
Quantum Physics
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.
Keywords
Cite
@article{arxiv.cond-mat/0411154,
title = {Split-step Fourier methods for the Gross-Pitaevskii equation},
author = {Juha Javanainen and Janne Ruostekoski},
journal= {arXiv preprint arXiv:cond-mat/0411154},
year = {2015}
}
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3 pages