Fourier-splitting methods for the dynamics of rotating Bose-Einstein condensates
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Título
Fourier-splitting methods for the dynamics of rotating Bose-Einstein condensatesAutoría
Fecha de publicación
2018-01Editor
ElsevierCita bibliográfica
BADER, Philipp. Fourier-splitting methods for the dynamics of rotating Bose–Einstein condensates. Journal of Computational and Applied Mathematics, 2018.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0377042718300062Versión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
We present a new method to propagate rotating Bose–Einstein condensates subject to explicitly time-dependent trapping potentials. Using algebraic techniques, we combine Magnus expansions and splitting methods to yield ... [+]
We present a new method to propagate rotating Bose–Einstein condensates subject to explicitly time-dependent trapping potentials. Using algebraic techniques, we combine Magnus expansions and splitting methods to yield any order methods for the multivariate and nonautonomous quadratic part of the Hamiltonian that can be computed using only Fourier transforms at the cost of solving a small system of polynomial equations. The resulting scheme solves the challenging component of the (nonlinear) Hamiltonian and can be combined with optimized splitting methods to yield efficient algorithms for rotating Bose–Einstein condensates. The method is particularly efficient for potentials that can be regarded as perturbed rotating and trapped condensates, e.g., for small nonlinearities, since it retains the near-integrable structure of the problem. For large nonlinearities, the method remains highly efficient if higher order P>2 is sought. Furthermore, we show how it can be adapted to the presence of dissipation terms. Numerical examples illustrate the performance of the scheme. [-]
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