Symes L M, McLachlan R I, Blakie P B
Quantum Science Otago, Dodd-Walls Centre for Photonic and Quantum Technologies, Department of Physics, University of Otago, Dunedin 9016, New Zealand.
Institute of Fundamental Sciences, Massey University, Palmerston North 4474, New Zealand.
Phys Rev E. 2016 May;93(5):053309. doi: 10.1103/PhysRevE.93.053309. Epub 2016 May 27.
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 nontrivial numerical tests to compare our methods against two other approaches.
我们开发了一种用于求解自旋-1 格罗斯-皮塔耶夫斯基方程的数值方法。我们工作的基础是对自旋-1 演化方程进行双向分裂，这会产生两个可精确求解的流。我们利用这一点来实现二阶和四阶辛积分方法。这些是用于演化自旋-1 凝聚体的首批完全辛方法。我们开发了两个非平凡的数值测试，以将我们的方法与其他两种方法进行比较。
