Dodd-Walls Centre for Photonic and Quantum Technologies, Department of Physics, University of Otago, Dunedin 9016, New Zealand.
Phys Rev E. 2017 Jan;95(1-1):013311. doi: 10.1103/PhysRevE.95.013311. Epub 2017 Jan 30.
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.
我们开发了用于求解自旋-2 Gross-Pitaevskii 方程的数值方法。我们工作的基础是该演化方程的双向分裂，这导致了两个完全可解的子系统。利用二阶和四阶组合格式，我们实现了两个完全辛的积分算法，这是用于演化自旋-2 凝聚体的第一个这样的算法。我们针对应用于我们推导的精确连续波解的其他方法，展示了这些算法的准确性。
