arXiv:cond-mat/0311059
Dark Matter-Wave Solitons in Optical Lattices
Pearl J. Y. Louis, Elena A. Ostrovskaya, Yuri S. Kivshar
Abstract
We analyze the Floquet-Bloch matter-wave spectrum of Bose-Einstein condensates loaded into single-periodic optical lattices and double-periodic superlattices. In the framework of the Gross-Pitaevskii equation, we describe the structure and analyze the mobility properties of dark matter-wave solitons residing on the background of extended nonlinear Bloch-type states. We demonstrate that interaction between dark solitons can be effectively controlled in optical superlattices.