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The Bethe ansatz (BA) for the one-dimensional boson Hubbard model is studied. Even though the model cannot be solved exactly by this method, it is argued that it gives an excellent approximation for densities {ρ}{≤}1. This claim is substantiated by a detailed study of the internal consistency of the BA solution, and by comparison with quantum Monte Carlo simulations.
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Werner Krauth (1991) studied this question.
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