Soliton localization in Bose-Einstein condensates with time-dependent harmonic potential and scattering length
Quantum Gases
2015-05-13 v1 Other Condensed Matter
Abstract
We derive exact solitonic solutions of a class of Gross-Pitaevskii equations with time-dependent harmonic trapping potential and interatomic interaction. We find families of exact single-solitonic, multi-solitonic, and solitary wave solutions. We show that, with the special case of an oscillating trapping potential and interatomic interaction, a soliton can be localized indefinitely at an arbitrary position. The localization is shown to be experimentally possible for sufficiently long time even with only an oscillating trapping potential and a constant interatomic interaction.
Keywords
Cite
@article{arxiv.0905.2241,
title = {Soliton localization in Bose-Einstein condensates with time-dependent harmonic potential and scattering length},
author = {U. Al Khawaja},
journal= {arXiv preprint arXiv:0905.2241},
year = {2015}
}
Comments
19 pages, 11 figures, accepted for publication in J.Phys.A