English

Localized matter-waves patterns with attractive interaction in rotating potentials

Statistical Mechanics 2009-11-13 v1 Mesoscale and Nanoscale Physics

Abstract

We consider a two-dimensional (2D) model of a rotating attractive Bose-Einstein condensate (BEC), trapped in an external potential. First, an harmonic potential with the critical strength is considered, which generates quasi-solitons at the lowest Landau level (LLL). We describe a family of the LLL quasi-solitons using both numerical method and a variational approximation (VA), which are in good agreement with each other. We demonstrate that kicking the LLL mode or applying a ramp potential sets it in the Larmor (cyclotron) motion, that can also be accurately modeled by the VA.

Keywords

Cite

@article{arxiv.0810.4207,
  title  = {Localized matter-waves patterns with attractive interaction in rotating potentials},
  author = {Hidetsgu Sakaguchi and Boris Malomed},
  journal= {arXiv preprint arXiv:0810.4207},
  year   = {2009}
}

Comments

13 pages, 11 figures

R2 v1 2026-06-21T11:34:06.130Z