Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap
- 15 April 2003
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 67 (4) , 046706
- https://doi.org/10.1103/physreve.67.046706
Abstract
We study the numerical resolution of the time-dependent Gross-Pitaevskii equation, a nonlinear Schrödinger 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 scissor modes.Keywords
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