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

TL;DR

This paper introduces an exactly solvable 3-site extended Bose-Hubbard model with nearest-neighbour interactions, providing analytical solutions for its energy spectrum and eigenstates, advancing understanding of integrable quantum many-body systems.

Contribution

It presents a new integrable 3-site extended Bose-Hubbard model with Bethe ansatz solutions, expanding the class of exactly solvable models in cold-atom physics.

Findings

Existence of an integrable 3-site Bose-Hubbard model with specific parameters

Development of a Bethe ansatz method for this model

Analytical expressions for energy spectrum and eigenstates

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.