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Exact Solution of the Bose-Hubbard Model with Unidirectional Hopping

Exact Solution of the Bose-Hubbard Model with Unidirectional Hopping

A one-dimensional Bose-Hubbard model with unidirectional hopping is shown to be exactly solvable. Applying the algebraic Bethe ansatz method, we prove the integrability of the model and derive the Bethe ansatz equations. The exact eigenvalue spectrum can be obtained by solving these equations. The distribution of Bethe roots reveals the …