Bethe states for the two-site Bose-Hubbard model: a binomial approach
Mathematical Physics
2015-05-21 v3 Quantum Gases
High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Nuclear Theory
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.
Keywords
Cite
@article{arxiv.1503.07885,
title = {Bethe states for the two-site Bose-Hubbard model: a binomial approach},
author = {Gilberto Santos and Changrim Ahn and Angela Foerster and Itzhak Roditi},
journal= {arXiv preprint arXiv:1503.07885},
year = {2015}
}
Comments
13 pages