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Spectral method for the time-dependent Gross-Pitaevskii equation with a harmonic trap
CERMICS, École National des Ponts et Chaussées.
CERMICS, École National des Ponts et Chaussées.
2003 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 67, no 4, 046706- p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2003. Vol. 67, no 4, 046706- p.
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Other Physics Topics
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Physics
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URN: urn:nbn:se:umu:diva-39703DOI: 10.1103/PhysRevE.67.046706OAI: oai:DiVA.org:umu-39703DiVA: diva2:394815
Available from: 2011-02-04 Created: 2011-02-03 Last updated: 2017-12-11Bibliographically approved

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fulltext(219 kB)119 downloads
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Dion, Claude
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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
  • html
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