Solving the spin-2 Gross-Pitaevskii equation using exact nonlinear dynamics and symplectic composition.
basic_science · Level V
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- Record sourced from PubMed, PMID 28208384.
- Also identified by DOI 10.1103/PhysRevE.95.013311.
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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.