Split-step Fourier methods for the Gross-Pitaevskii equation

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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3 pages

Scientific paper

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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