Solving the spin-2 Gross-Pitaevskii equation using exact nonlinear dynamics and symplectic composition
Computational Physics
2017-02-01 v2 Quantum Gases
Abstract
We develop numerical methods for solving the spin-2 Gross-Pitaevskii equation. The basis of our work is a two-way splitting of this evolution equation that leads to two exactly solvable subsystems. Utilizing second-order and fourth-order composition schemes we realize two fully symplectic integration algorithms, the first such algorithms for evolving spin-2 condensates. We demonstrate the accuracy of these algorithms against other methods on application to an exact continuous wave solution that we derive.
Cite
@article{arxiv.1610.01269,
title = {Solving the spin-2 Gross-Pitaevskii equation using exact nonlinear dynamics and symplectic composition},
author = {L. M. Symes and P. B. Blakie},
journal= {arXiv preprint arXiv:1610.01269},
year = {2017}
}
Comments
8 pages, 3 figures. arXiv admin note: text overlap with arXiv:1602.06638