Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap
| dc.creator | Dion, Claude M. | |
| dc.creator | Cances, Eric | |
| dc.date | 2002-09-27 | |
| dc.date | 2003-02-24 | |
| dc.date.accessioned | 2026-07-07T06:21:48Z | |
| dc.date.available | 2026-07-07T06:21:48Z | |
| dc.description | 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. | |
| dc.description | 23 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0209646 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0209646 | |
| dc.identifier | Phys. Rev. E 67, 046706 (2003) | |
| dc.identifier | doi:10.1103/PhysRevE.67.046706 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95720 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Computational Physics | |
| dc.title | Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap | |
| dc.type | text |