Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Links, Jon
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/214091
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions. Jon Links. SIGMA 21 (2025), 077, 11 pages

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...