We present a complete derivation of two-particle states of the one-dimensional extended Bose-Hubbard model involving attractive or repulsive on-site and nearest-neighbour interactions. We find that this system possesses scattering resonances and two families of energy-dependent interaction-bound states which are not present in the Hubbard model with the on-site interaction alone.
|Number of pages||4|
|Journal||Journal of Physics B: Atomic, Molecular and Optical Physics|
|Publication status||Published - 28 Jun 2009|
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