arxiv: 1610.01269 · v2 · pith:TUWEAVO5new · submitted 2016-10-05 · ⚛️ physics.comp-ph · cond-mat.quant-gas

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

L. M. Symes , P. B. Blakie This is my paper

classification ⚛️ physics.comp-ph cond-mat.quant-gas

keywords algorithmsequationspin-2compositionexactgross-pitaevskiimethodssolving

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

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