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.
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.
基金
Supported by the National Natural Science Foundation of China under Grant Nos.11375141
11425522
11434013
11347025
11447239
Beijing Center for Mathematics and Information Interdisciplinary Sciences are gratefully acknowledged
