Geometric Resonances in Bose-Einstein Condensates with Two- and Three-Body Interactions
Abstract
We investigate geometric resonances in Bose-Einstein condensates by solving the underlying time-dependent Gross-Pitaevskii equation for systems with two- and three-body interactions in an axially-symmetric harmonic trap. To this end, we use a recently developed analytical method [Phys. Rev. A 84, 013618 (2011)], based on both a perturbative expansion and a Poincar\'e-Lindstedt analysis of a Gaussian variational approach, as well as a detailed numerical study of a set of ordinary differential equations for variational parameters. By changing the anisotropy of the confining potential, we numerically observe and analytically describe strong nonlinear effects: shifts in the frequencies and mode coupling of collective modes, as well as resonances. Furthermore, we discuss in detail the stability of a Bose-Einstein condensate in the presence of an attractive two-body interaction and a repulsive three-body interaction. In particular, we show that a small repulsive three-body interaction is able to significantly extend the stability region of the condensate.
Cite
@article{arxiv.1208.0991,
title = {Geometric Resonances in Bose-Einstein Condensates with Two- and Three-Body Interactions},
author = {Hamid Al-Jibbouri and Ivana Vidanovic and Antun Balaz and Axel Pelster},
journal= {arXiv preprint arXiv:1208.0991},
year = {2013}
}
Comments
27 pages, 13 figures