Non-Hermitian boost deformation
Non-Hermitian boost deformation
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DOI：
10.1103/physrevb.108.075108
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发表时间：
2023-01
影响因子：
3.7
通讯作者：
Taozhi Guo;K. Kawabata;Ryota Nakai;S. Ryu
中科院分区：
文献类型：
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作者：
Taozhi Guo;K. Kawabata;Ryota Nakai;S. Ryu
Hatano-Nelson 模型是最典型的非厄米模型之一，它表现出内在的非厄米拓扑相和伴随的集肤效应。这些非厄米拓扑系统特有的现象源于伽利略变换。在这里，我们基于假想的升压变形将这样的想法扩展到更广泛的系统，并确定相应的能量扭曲边界条件。这种虚数增强变形使可积模型的谱参数复杂化，并且可以通过坐标 Bethe ansatz 来实现。我们将虚数增强变形应用于几种典型的可积模型，包括自由费米子、Calogero-Sutherland 模型和 XXZ 模型。我们发现了自由费米子模型中周期性边界条件下的复谱缠绕和开放边界条件下的非厄米集肤效应。相互作用效应也显示在 XXZ 模型的双粒子谱中。
The Hatano-Nelson model is one of the most prototypical non-Hermitian models that exhibit the intrinsic non-Hermitian topological phases and the concomitant skin effect. These phenomena unique to non-Hermitian topological systems originate from the Galilean transformation. Here, we extend such an idea to a broader range of systems based on an imaginary boost deformation and identify the corresponding energy-twisted boundary conditions. This imaginary boost deformation complexifies spectral parameters of integrable models and can be implemented by the coordinate Bethe ansatz. We apply the imaginary boost deformation to several typical integrable models, including free fermions, the Calogero-Sutherland model, and the XXZ model. We find the complex-spectral winding in free fermion models under the periodic boundary conditions and the non-Hermitian skin effect under the open boundary conditions. The interaction effect is also shown in the two-particle spectrum of the XXZ model.