Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 21 (2025), 077, 11 pages      arXiv:2506.21789      https://doi.org/10.3842/SIGMA.2025.077

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

Jon Links
School of Mathematics and Physics, The University of Queensland, 4072, Australia

Received June 30, 2025, in final form September 12, 2025; Published online September 19, 2025

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.

Key words: Bose-Hubbard model; quantum integrability; Bethe ansatz.

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