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.File in questo prodotto:
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