A discrete nonlinear lattice model without linear hopping is derived for BECs in quasi-periodic potentials, yielding stable breather solutions (dimers) for negative scattering lengths.
1 (c),(d), where nearly for each arbitrarily chosen state, say j-th one, non-negligible nonlinear coupling can be found only for one (or a very few) other sites, say k-state
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Dimers and discrete breathers in Bose-Einstein condensates in a quasi-periodic potential
A discrete nonlinear lattice model without linear hopping is derived for BECs in quasi-periodic potentials, yielding stable breather solutions (dimers) for negative scattering lengths.