English

Nonlinear coupling between scissors modes of a Bose-Einstein condensate

Condensed Matter 2014-10-13 v1

Abstract

We explore the nonlinear coupling of the three scissors modes of an anisotropic Bose-Einstein condensate. We show that only when the frequency of one of the scissors modes is twice the frequency of another scissors mode, these two modes can be resonantly coupled and a down conversion can occur. We perform the calculation variationally using a gaussian trial wave function. This enables us to obtain simple analytical results that describe the oscillation and resonance behaviour of the two coupled modes.

Keywords

Cite

@article{arxiv.cond-mat/0107567,
  title  = {Nonlinear coupling between scissors modes of a Bose-Einstein condensate},
  author = {U. Al Khawaja and H. T. C. Stoof},
  journal= {arXiv preprint arXiv:cond-mat/0107567},
  year   = {2014}
}

Comments

12 pages, 3 figures, submitted to Phys. Rev. A