Vortex solutions in atomic Bose-Einstein condensates via the Adomian Decomposition Method
Quantum Gases
2020-08-25 v1 Classical Analysis and ODEs
Abstract
We study the dynamics of vortices with arbitrary topological charges in weakly interacting Bose-Einstein condensates using the Adomian Decomposition Method to solve the nonlinear Gross-Pitaevskii equation in polar coordinates. The solutions of the vortex equation are expressed in the form of infinite power series. The power series representations are compared with the exact numerical solutions of the Gross-Pitaevskii equation for the uniform and the harmonic potential, respectively. We find that there is a good agreement between the analytical and the numerical results.
Cite
@article{arxiv.2003.04277,
title = {Vortex solutions in atomic Bose-Einstein condensates via the Adomian Decomposition Method},
author = {Tiberiu Harko and Man Kwong Mak and Chun Sing Leung},
journal= {arXiv preprint arXiv:2003.04277},
year = {2020}
}
Comments
10 pages, 2 figures, accepted for publication in Romanian Reports in Physics