Convergence rate of dimension reduction in Bose-Einstein condensates

Weizhu Bao*, Yunyi Ge, Dieter Jaksch, Peter Markowich, Rada M. Weishäupl

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

In this paper, we study dimension reduction of the three-dimensional (3D) Gross-Pitaevskii equation (GPE) modeling Bose-Einstein condensation under different limiting interaction and trapping frequency parameter regimes. Convergence rates for the dimension reduction of 3D ground state and dynamics of the GPE in the case of disk-shaped condensation and cigar-shaped condensation are reported based on our asymptotic and numerical results. In addition, the parameter regimes in which the 3D GPE cannot be reduced to lower dimensions are identified.

Original languageEnglish (US)
Pages (from-to)832-850
Number of pages19
JournalComputer Physics Communications
Volume177
Issue number11
DOIs
StatePublished - Dec 1 2007

Keywords

  • Bose-Einstein condensation
  • Convergence rate
  • Dimension reduction
  • Gross-Pitaevskii equation
  • Ground state

ASJC Scopus subject areas

  • Hardware and Architecture
  • Physics and Astronomy(all)

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