Efficient and accurate methods for solving the time-dependent spin-1 Gross-Pitaevskii equation
Computational Physics
2016-06-01 v1 Quantum Gases
Abstract
We develop a numerical method for solving the spin-1 Gross-Pitaevskii equation. The basis of our work is a two-way splitting of the spin-1 evolution equation that leads to two exactly solvable flows. We use this to implement a second-order and a fourth-order symplectic integration method. These are the first fully symplectic methods for evolving spin-1 condensates. We develop two non-trivial numerical tests to compare our methods against two other approaches.
Cite
@article{arxiv.1602.06638,
title = {Efficient and accurate methods for solving the time-dependent spin-1 Gross-Pitaevskii equation},
author = {L. M. Symes and R. I. McLachlan and P. B. Blakie},
journal= {arXiv preprint arXiv:1602.06638},
year = {2016}
}
Comments
10 pages, 6 figures