Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap

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Preprint

27 September 2002

preprint
Published by arXiv in arXiv

DOI:https://doi.org/10.48550/arXiv.cond-mat/0209646

Abstract

We study the numerical resolution of the time-dependent Gross-Pitaevskii equation, a non-linear Schroedinger equation used to simulate the dynamics of Bose-Einstein condensates. Considering condensates trapped in harmonic potentials, we present an efficient algorithm by making use of a spectral Galerkin method, using a basis set of harmonic oscillator functions, and the Gauss-Hermite quadrature. We apply this algorithm to the simulation of condensate breathing and scissors modes.

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Version 1, 2002-09-27, ArXiv
Version 2, 2003-02-05, ArXiv
Version 3, 2003-02-24, ArXiv
Published version: Physical Review E, 67 (4), 046706.

This publication has 1 reference indexed in Scilit:

Numerical Recipes in Fortran: The Art of Scientific Computing.
Mathematics of Computation, 1994