Bethe states for the two-site Bose-Hubbard model: a binomial approach
arXiv:1503.07885 · doi:10.1016/j.physletb.2015.05.003
Abstract
We calculate explicitly the Bethe vectors states by the algebraic Bethe ansatz method with the -invariant -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.
arXiv comment13 pages
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