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arXiv · 1610.01269

Solving the spin-2 Gross-Pitaevskii equation using exact nonlinear dynamics and symplectic composition

L. M. Symes·P. B. Blakie
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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.

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L. M. Symes, P. B. Blakie. 2017-01-31. Solving the spin-2 Gross-Pitaevskii equation using exact nonlinear dynamics and symplectic composition. https://doi.org/10.1103/physreve.95.013311

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