We investigate the spin-1 topological basis realization of a non-Hermitian Heisenberg XXZ chain model. For the non-Hermitian case, the Hamiltonian and the topological ground states of the system are constructed by Birman-Murakami-Wenzl algebra. The results show that all the spin singlet states belong to the topological ground states. The topological subspace and the spin singlet subspace are equivalent. The topological basis can reduce Birman-Murakami-Wenzl algebra generators, and the reduced matrices satisfy reduced Birman-Murakami-Wenzl algebra relations.

中文翻译：

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与 Spin-1 非 Hermitian XXZ 模型相关的拓扑基础实现

我们研究了非 Hermitian Heisenberg XXZ 链模型的自旋 1 拓扑基础实现。对于非厄米情况，系统的哈密顿量和拓扑基态由 Birman-Murakami-Wenzl 代数构建。结果表明，所有的自旋单线态都属于拓扑基态。拓扑子空间和自旋单线态子空间是等价的。拓扑基可以约简Birman-Murakami-Wenzl 代数生成元，约简矩阵满足约简Birman-Murakami-Wenzl 代数关系。