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

The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the \(SU_q(3)\) 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 inhomogeneo...

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Bibliographic Details
Published in:arXiv.org 2016-08
Main Authors: Guang-Liang, Li, Cao, Junpeng, Hao, Kun, Wen, Fakai, Wen-Li, Yang, Shi, Kangjie
Format: Article
Language:English
Subjects:
Boundary conditions
Chains
Functional analysis
Operators (mathematics)
Transfer matrices
Online Access:Get full text
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Summary:The nested off-diagonal Bethe ansatz is generalized to study the quantum spin chain associated with the \(SU_q(3)\) 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 \(SU_q(n)\) algebra.
ISSN:2331-8422
DOI:10.48550/arxiv.1602.02042