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

Gilberto Santos, Changrim Ahn, Angela Foerster, Itzhak Roditi

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.

Original languageEnglish
Pages (from-to)186-189
Number of pages4
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
StatePublished - 1 Jun 2015

Bibliographical note

Publisher Copyright:
© 2015 The Authors.


  • Bethe ansatz
  • Bethe vectors
  • Bose-Einstein condensation
  • Form factors


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