Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation
Abstract
We present a numerical study of the coupled time-dependent Gross-Pitaevskii equation, which describes the Bose-Einstein condensate of several types of trapped bosons at ultralow temperature with both attractive and repulsive interatomic interactions. The same approach is used to study both stationary and time-evolution problems. We consider up to four types of atoms in the study of stationary problems. We consider the time-evolution problems where the frequencies of the traps or the atomic scattering lengths are suddenly changed in a stable preformed condensate. We also study the effect of periodically varying these frequencies or scattering lengths on a preformed condensate. These changes introduce oscillations in the condensate which are studied in detail. Good convergence is obtained in all cases studied.
Keywords
Cite
@article{arxiv.cond-mat/0103565,
title = {Numerical study of the coupled time-dependent Gross-Pitaevskii equation: Application to Bose-Einstein condensation},
author = {Sadhan K. Adhikari},
journal= {arXiv preprint arXiv:cond-mat/0103565},
year = {2009}
}
Comments
9 pages, 10 figures, accepted in Physical Review E