Stable three-dimensional solitons in attractive Bose-Einstein condensates loaded in an optical lattice
Abstract
The existence and stability of solitons in Bose-Einstein condensates with attractive inter-atomic interactions, described by the Gross-Pitaevskii equation with a three-dimensional (3D) periodic potential, are investigated in a systematic form. We find a one-parameter family of stable 3D solitons in a certain interval of values of their norm, provided that the strength of the potential exceeds a threshold value. The minimum number of Li atoms in the stable solitons is 60, and the energy of the soliton at the stability threshold is recoil energies in the lattice. The respective energy-vs.-norm diagram features two cuspidal points, resulting in a typical \textit{swallowtail pattern}, which is a generic feature of 3D solitons supported by low- (2D) or fully-dimensional lattice potentials.
Keywords
Cite
@article{arxiv.nlin/0507007,
title = {Stable three-dimensional solitons in attractive Bose-Einstein condensates loaded in an optical lattice},
author = {D. Mihalache and D. Mazilu and F. Lederer and B. A. Malomed and L. -C. Crasovan and Y. V. Kartashov and L. Torner},
journal= {arXiv preprint arXiv:nlin/0507007},
year = {2009}
}
Comments
8 pages, 6 figures, to appear in Physical Review A