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Exact Solution of Two-Site Bose–Hubbard Model with Generic Open Boundaries
摘    要:The Bose–Hubbard model is a paradigm for the study of strongly correlated bosonic systems. We study the two-site Bose–Hubbard model with generic integrable open boundaries specified by the most general non-diagonal reflecting matrices. Besides the inhomogeneous parameters,the model itself has three free boundary parameters,which break the U(1)-symmetry,in other words,break the particle number conservation. The Hamiltonian H under these circumstances is constructed. With the help of the off-diagonal Bethe Ansatz method,we successfully obtain the corresponding Bethe Ansatz equations as well as the eigenvalues.

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