Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions
Quantum Gases
2025-09-22 v2 Exactly Solvable and Integrable Systems
Abstract
Extended Bose-Hubbard models have been employed in the study of cold-atom systems with dipolar interactions. It is shown that, for a certain choice of the coupling parameters, there exists an integrable extended 3-site Bose-Hubbard model with nearest-neighbour interactions. A Bethe ansatz procedure is developed to obtain expressions for the energy spectrum and eigenstates.
Keywords
Cite
@article{arxiv.2506.21789,
title = {Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions},
author = {Jon Links},
journal= {arXiv preprint arXiv:2506.21789},
year = {2025}
}