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 ...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.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos.1137514111425522+3 种基金114340131134702511447239Beijing Center for Mathematics and Information Interdisciplinary Sciences are gratefully acknowledged
文摘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.
