Soliton localization in Bose-Einstein condensates with time-dependent harmonic potential and scattering length

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24 Citations (Scopus)

Abstract

We derive exact solitonic solutions of a class of Gross-Pitaevskii equations with a time-dependent harmonic trapping potential and interatomic interaction. We find families of exact single-solitonic, multi-solitonic and solitary wave solutions. We show that, with the special case of an oscillating trapping potential and interatomic interaction, a soliton can be localized indefinitely at an arbitrary position. The localization is shown to be experimentally possible for sufficiently long time even with only an oscillating trapping potential and a constant interatomic interaction.

Original languageEnglish
Article number265206
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number26
DOIs
Publication statusPublished - 2009

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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