Dispersion control for matter waves and gap solitons in optical superlattices
Abstract
We present a numerical study of dispersion manipulation and formation of matter-wave gap solitons in a Bose-Einstein condensate trapped in an optical superlattice. We demonstrate a method for controlled generation of matter-wave gap solitons in a stationary lattice by using an interference pattern of two condensate wavepackets, which mimics the structure of the gap soliton near the edge of a spectral band. The efficiency of this method is compared with that of gap soliton generation in a moving lattice recently demonstrated experimentally by Eiermann et al. [Phys. Rev. Lett. 92, 230401 (2004)]. We show that, by changing the relative depths of the superlattice wells, one can fine-tune the effective dispersion of the matter waves at the edges of the mini-gaps of the superlattice Bloch-wave spectrum and therefore effectively control both the peak density and the spatial width of the emerging gap solitons.
Keywords
Cite
@article{arxiv.cond-mat/0408291,
title = {Dispersion control for matter waves and gap solitons in optical superlattices},
author = {Pearl J. Y. Louis and Elena A. Ostrovskaya and Yuri S. Kivshar},
journal= {arXiv preprint arXiv:cond-mat/0408291},
year = {2009}
}
Comments
8 pages, 9 figures; modified references in Section 2; minor content changes in Sections 1 and 2 and Fig. 9 caption