Exact solution of the trigonometric SU(3) spin chain with generic off-diagonal boundary reflections

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• 作者：Guang-Liang Li^a ; Junpeng Cao^b ; ^c ; ^d ; Kun Hao^e ; ^f ; Fakai Wen^e ; ^f ; Wen-Li Yang^e ; ^f ; ^g ; ^{wlyang@nwu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Kangjie Shi^e ; ^f
• 刊名：Nuclear Physics B
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：910
• 期：Complete
• 页码：410-430
• 全文大小：365 K

文摘

The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the SU_q(3)$S{U}_q(3)$R-matrix and generic integrable non-diagonal boundary conditions. By using the fusion technique, certain closed operator identities among the fused transfer matrices at the inhomogeneous points are derived. The corresponding asymptotic behaviors of the transfer matrices and their values at some special points are given in detail. Based on the functional analysis, a nested inhomogeneous T–Q   relations and Bethe ansatz equations of the system are obtained. These results can be naturally generalized to cases related to the SU_q(n)$S{U}_q(n)$ algebra.