Bethe states for the two-site Bose-Hubbard model: a binomial approach

Gilberto Santos, Changrim Ahn, Angela Foerster, Itzhak Roditi

Resumo


Abstract: We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method
with the gl(2)-invariant R-matrix for the two-site Bose-Hubbard model. Using a binomial
expansion of the n-th power of a sum of two operators we get and solve a recursion equation.
We calculate the scalar product and the norm of the Bethe vectors states. The form factors
of the imbalance current operator are also computed. 

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Referências


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