Exact spectrum of the spin-s Heisenberg chain with generic non-diagonal boundaries
Exact spectrum of the spin-s Heisenberg chain with generic non-diagonal boundaries
复制标题
具有通用非对角边界的自旋-s 海森堡链的精确谱
DOI：
10.1007/jhep02(2015)036
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发表时间：
2015
影响因子：
5.4
通讯作者：
Wang Yupeng
中科院分区：
文献类型：
--
作者：
Cao Junpeng;Cui Shuai;Yang Wen-Li;Shi Kangjie;Wang Yupeng
本文以具有一般可积边界的自旋各向同性海森堡链模型为例，将非对角Bethe方法推广到与su（2）代数相关的高自旋可积系统。利用融合技巧，导出了构造泛函T-Q关系和Bethe不等式的闭算子恒等式.发现可以构造出各种服从算子乘积恒等式的非齐次T-Q关系。两个站点s = 1的情况下的数值结果表明，任意选择导出的T-Q关系足以给出完整的频谱的传输矩阵。
A bstractThe off-diagonal Bethe ansatz method is generalized to the high spin integrable systems associated with the su(2) algebra by employing the spin-s isotropic Heisenberg chain model with generic integrable boundaries as an example. With the fusion techniques, certain closed operator identities for constructing the functional T − Q relations and the Bethe ansatz equations are derived. It is found that a variety of inhomogeneous T − Q relations obeying the operator product identities can be constructed. Numerical results for two-site s = 1 case indicate that an arbitrary choice of the derived T − Q relations is enough to give the complete spectrum of the transfer matrix.