2004/08/31 by Pearl J. Y. Louis, Elena A. Ostrovskaya, Yuri S. Kivshar · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Photonic Systems #Strong Light-Matter Interactions #cond-mat.other
paper · pdf · doi:10.1103/physreva.71.023612
8 pages, 9 figures; modified references in Section 2; minor content changes in Sections 1 and 2 and Fig. 9 caption
arxiv created 2004/11/19 · openalex publication_date 2005/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 wave packets, which mimics the structure of the gap soliton near the edge of a spectral band. The efficiency of this method is compared to 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 minigaps of the superlattice Bloch-wave spectrum and, therefore, effectively control both the peak density and the spatial width of the emerging gap solitons.