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Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

Numerical solution of the Gross-Pitaevskii equation using an explicit finite-difference scheme: An application to trapped Bose-Einstein condensates

Maria Mercede Cerimele, M. L. Chiofalo, Francesca Pistella, Sauro Succi A, M. P. Tosi

Published Jul 1, 2000• 146 citations

Abstract

We present the application of a fast, explicit time-marching scheme for the solution of the Gross-Pitaevskii equation in cylindrical geometry. The scheme is validated on simple analytical tests and demonstrated for two situations of physical interest in experiments on the Bose-Einstein condensation (BEC) of trapped alkali-metal vapors. It is tested by reproducing known results on the free expansion of a BEC after removing a cylindrical trap, and it is then used to address the formation of matter-wave pulses that result from gravity-induced transport of a condensate in an optical potential.

DOI: 10.1103/physreve.62.1382

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