P. J. Louis, E. Ostrovskaya, Y. Kivshar, C. Savage
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Bose-Einstein condensates in one-dimensional optical lattices: bandgap structure and solitons
We present a theory of the band-gap spectrum and nonlinear localization of a Bose-Einstein condensate in 1D optical lattices and superlattices. The theory extends beyond the usual single-band and tight-binding approximations.