Key points are not available for this paper at this time.
We demonstrate that the recent observation of nonlinear self-trapping of matter waves in one-dimensional optical lattices Th. Anker, Phys. Rev. Lett. 94, 020403 (2005)10.1103/PhysRevLett.94.020403 can be associated with a novel type of broad nonlinear state existing in the gaps of the matter-wave band-gap spectrum. We find these self-trapped localized modes in one-, two-, and three-dimensional periodic potentials, and demonstrate that such novel gap states can be generated experimentally in any dimension.
Alexander et al. (Mon,) studied this question.