A fast, explicit time-marching scheme is used for the solution of the Gross-Pitaevskii equation in cylindrical geometry. Scheme validity is analyzed using simple analytical tests and is demonstrated for two situations of physical interest on the Bose-Einstein condensation (BEC) of trapped alkali-metal vapors. This is tested using reproduced results on the free expansion of a BEC after removing a cylindrical trap.

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

CHIOFALO, MARIA LUISA;
2000-01-01

Abstract

A fast, explicit time-marching scheme is used for the solution of the Gross-Pitaevskii equation in cylindrical geometry. Scheme validity is analyzed using simple analytical tests and is demonstrated for two situations of physical interest on the Bose-Einstein condensation (BEC) of trapped alkali-metal vapors. This is tested using reproduced results on the free expansion of a BEC after removing a cylindrical trap.
2000
CERIMELE MARIA, Mercede; Chiofalo, MARIA LUISA; Pistella, Francesca; Succi, Sauro; TOSI MARIO, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/170179
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