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19 April 2024
 
  » arxiv » cond-mat/0209646

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Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap
Claude M. Dion ; Eric Cances ;
Date 27 Sep 2002
Journal Phys. Rev. E 67, 046706 (2003) DOI: 10.1103/PhysRevE.67.046706
Subject Soft Condensed Matter; Computational Physics | cond-mat.soft physics.comp-ph
AbstractWe 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.
Source arXiv, cond-mat/0209646
Other source [GID 749888] pmid12786528
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