Numerical Solution of the Two-Dimensional Gross-Pitaevskii Equation for Trapped Interacting Atoms
Statistical Mechanics
2016-08-31 v1 Soft Condensed Matter
Atomic and Molecular Clusters
Computational Physics
Quantum Physics
Abstract
We present a numerical scheme for solving the time-independent nonlinear Gross-Pitaevskii equation in two dimensions describing the Bose-Einstein condensate of trapped interacting neutral atoms at zero temperature. The trap potential is taken to be of the harmonic-oscillator type and the interaction both attractive and repulsive. The Gross-Pitaevskii equation is numerically integrated consistent with the correct boundary conditions at the origin and in the asymptotic region. Rapid convergence is obtained in all cases studied. In the attractive case there is a limit to the maximum number of atoms in the condensate.
Keywords
Cite
@article{arxiv.cond-mat/0001361,
title = {Numerical Solution of the Two-Dimensional Gross-Pitaevskii Equation for Trapped Interacting Atoms},
author = {Sadhan K. Adhikari},
journal= {arXiv preprint arXiv:cond-mat/0001361},
year = {2016}
}
Comments
5 pages LATEX, 3 postscript figures