@article{a0d04efaea654931a675dc32f3e5bd9d,

title = "Bethe states for the two-site Bose-Hubbard model: A binomial approach",

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.",

keywords = "Bethe ansatz, Bethe vectors, Bose-Einstein condensation, Form factors",

author = "Gilberto Santos and Changrim Ahn and Angela Foerster and Itzhak Roditi",

note = "Funding Information: The authors acknowledge CAPES / FAPERJ (Coordena{\c c}{\~a}o de Aperfei{\c c}oamento de Pessoal de N{\'i}vel Superior/Funda{\c c}{\~a}o de Amparo {\`a} Pesquisa do Estado do Rio de Janeiro), CNPq (Conselho Nacional de Desenvolvimento Cient{\'i}fico e Tecnol{\'o}gico) and the Ewha Womans University by the grant WCU No. R32-2008-000-101300 for the financial support. Publisher Copyright: {\textcopyright} 2015 The Authors.",

year = "2015",

month = jun,

day = "1",

doi = "10.1016/j.physletb.2015.05.003",

language = "English",

volume = "746",

pages = "186--189",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

}