Off-diagonal Bethe Ansatz on the so(5) spin chain

Off-diagonal Bethe Ansatz on the so(5) spin chain
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DOI:
10.1016/j.nuclphysb.2019.114719
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发表时间:
2019-02
期刊:
影响因子:
2.8
通讯作者:
Guang-Liang Li;Junpeng Cao;Panpan Xue;K. Hao;Pei Sun;Wen-Li Yang;K. Shi;Yupeng Wang
Guang-Liang Li;Junpeng Cao;Panpan Xue;K. Hao;Pei Sun;Wen-Li Yang;K. Shi;Yupeng Wang
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Guang-Liang Li;Junpeng Cao;Panpan Xue;K. Hao;Pei Sun;Wen-Li Yang;K. Shi;Yupeng Wang

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摘要 采用非对角Bethe Ansatz方法研究了具有周期边界和非对角边界的s o (5)(即B 2)量子可积自旋链。通过使用融合技术,可以导出足够的算子乘积恒等式(与[1]中的算子乘积恒等式相比)来确定传递矩阵的频谱。对于周期性情况,我们恢复了[1]中获得的结果,而对于非对角边界情况,构造了一个新的非齐次T−Q关系。本方法可以直接推广到处理具有一般边界的s o (2 n+ 1)(即B n)量子可积自旋链。
Abstract The s o (5)(ie, B 2) quantum integrable spin chains with both periodic and non-diagonal boundaries are studied via the off-diagonal Bethe Ansatz method. By using the fusion technique, sufficient operator product identities (comparing to those in [1]) to determine the spectrum of the transfer matrices are derived. For the periodic case, we recover the results obtained in [1], while for the non-diagonal boundary case, a new inhomogeneous T− Q relation is constructed. The present method can be directly generalized to deal with the s o (2 n+ 1)(ie, B n) quantum integrable spin chains with general boundaries.