Bethe states for the two-site Bose-Hubbard model: a binomial approach
Santos, Gilberto · Ahn, Changrim · Foerster, Angela · Roditi, Itzhak
Mathematical Physics
Quantum Gases
High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Nuclear Theory
الأصل · EN
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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