Study reveals an integrable 3-site bose-hubbard model with nearest-neighbour interactions, highlighting its energy spectrum.
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.
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Jon Links (2025) studied this question.
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