The exact solution of a generalized Bose-Hubbard model
  I present the exact solution of a family of fragmented Bose-Hubbard models and represent the models as graphs in one-dimension, two-dimensions and three-dimensions with the condensates in the vertices. The models are solved by the algebraic Bethe ansatz method. 
Gilberto N. Santos Filho
cond-mat.quant-gas math-ph math.MP nlin.SI