Solving the spin-2 Gross-Pitaevskii equation using exact nonlinear dynamics and symplectic composition
arXiv:1610.01269 · doi:10.1103/PhysRevE.95.013311
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.
8 pages, 3 figures. arXiv admin note: text overlap with arXiv:1602.06638
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- i-SPin 2: An integrator for general spin-s Gross-Pitaevskii systems
- Dynamics of a Nonequilibrium Discontinuous Quantum Phase Transition in a Spinor Bose-Einstein Condensate