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

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.

preprint2015arXivOpen access
Gilberto SantosChangrim AhnAngela FoersterItzhak Roditi
math-phmath.MPnlin.SInucl-thhep-thcond-mat.quant-gas
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Gilberto SantosChangrim AhnAngela FoersterItzhak Roditi

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