Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap
Soft Condensed Matter
2007-05-23 v3 Computational Physics
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.
Keywords
Cite
@article{arxiv.cond-mat/0209646,
title = {Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap},
author = {Claude M. Dion and Eric Cances},
journal= {arXiv preprint arXiv:cond-mat/0209646},
year = {2007}
}
Comments
23 pages, 5 figures