Dark soliton dynamics in spatially inhomogeneous media: Application to Bose-Einstein condensates

G. Theocharis, D. J. Frantzeskakis, P. G. Kevrekidis, R. Carretero-González, B. A. Malomed

Research output: Contribution to journalConference articlepeer-review

Abstract

We study the dynamics of dark solitons in spatially inhomogeneous media with applications to cigar-shaped Bose-Einstein condensates trapped in a harmonic magnetic potential and a periodic potential representing an optical lattice. We distinguish and systematically investigate the cases with the optical lattice period being smaller, larger, or comparable to the width of the dark soliton. Analytical results, based on perturbation techniques, for the motion of the dark soliton are obtained and compared to direct numerical simulations. Radiation effects are also considered. Finally, we demonstrate that a moving optical lattice may capture and drag a dark soliton.

Original languageEnglish
Pages (from-to)537-552
Number of pages16
JournalMathematics and Computers in Simulation
Volume69
Issue number5-6
DOIs
StatePublished - 5 Aug 2005
EventNonlinear Waves: Computation and Theory IV -
Duration: 7 Apr 200310 Apr 2003

Keywords

  • Bose-Einstein condensation
  • Matter waves
  • Optical lattice
  • Soliton

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