Domain walls of single-component Bose-Einstein condensates in external potentials

P. G. Kevrekidis, B. A. Malomed, D. J. Frantzeskakis, A. R. Bishop, H. E. Nistazakis, R. Carretero-González

Research output: Contribution to journalConference articlepeer-review

Abstract

We demonstrate the possibility of creating domain walls described by a single component Gross-Pitaevskii equation with attractive interactions, in the presence of an optical-lattice potential. While it is found that the domain wall is unstable in an infinite system, we show that the external magnetic trap can stabilize it. Stable solutions also include "twisted" domain walls, as well as asymmetric solitons. The results apply as well to spatial solitons in planar nonlinear optical waveguides with transverse modulation of the refractive index.

Original languageEnglish
Pages (from-to)334-345
Number of pages12
JournalMathematics and Computers in Simulation
Volume69
Issue number3-4
DOIs
StatePublished - 24 Jun 2005
EventNonlinear Waves: Computation and Theory III -
Duration: 7 Apr 200310 Apr 2003

Keywords

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

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