Bose-Einstein Condensates in Optical Lattices: Band-Gap Structure and Solitons
Condensed Matter
2009-11-07 v1 Pattern Formation and Solitons
Optics
Abstract
We analyze the existence and stability of spatially extended (Bloch-type) and localized states of a Bose-Einstein condensate loaded into an optical lattice. In the framework of the Gross-Pitaevskii equation with a periodic potential, we study the band-gap structure of the matter-wave spectrum in both the linear and nonlinear regimes. We demonstrate the existence of families of spatially localized matter-wave gap solitons, and analyze their stability in different band gaps, for both repulsive and attractive atomic interactions.
Keywords
Cite
@article{arxiv.cond-mat/0208516,
title = {Bose-Einstein Condensates in Optical Lattices: Band-Gap Structure and Solitons},
author = {Pearl J. Y. Louis and Elena A. Ostrovskaya and Craig M. Savage and Yuri S. Kivshar},
journal= {arXiv preprint arXiv:cond-mat/0208516},
year = {2009}
}