AI 中文总结
研究有损晶格上非厄米量子行走中由非均匀损耗引发的现象，发现即使无NHSE，空间非均匀损耗也会产生quasi-NHEB，其损耗概率对初始位置有特定依赖，遵循独特体边标度关系，为非厄米边界现象研究提供新视角。
AI 中文摘要
在具有开放边界的有损晶格上的非厄米量子行走，在边界处可能会出现损耗概率的异常峰值，即非厄米边缘爆发（NHEB）。这种现象归因于非厄米趋肤效应（NHSE）和无隙虚频谱的综合作用。本文研究了一类由磁通量诱导NHSE且损耗在空间上不均匀的模型。结果表明，损耗的空间分布对NHEB的出现和强度起着关键作用。即便没有NHSE，也存在损耗概率的弱边界积累，即准非厄米边缘爆发（quasi-NHEB）。通过分析损耗概率对初始位置的依赖性，进一步证明quasi-NHEB遵循与传统NHEB不同的体边标度关系。研究结果表明，即使没有NHSE，空间上不均匀的损耗也能产生边界局部化的损耗异常，为非厄米边界现象提供了新见解和更广阔的探索及潜在应用平台。
英文摘要
Non-Hermitian quantum walks on lossy lattices with open boundaries can exhibit an anomalous peak of the loss probability at the boundary, known as the non-Hermitian edge burst (NHEB). This phenomenon has been attributed to the combined effect of the non-Hermitian skin effect (NHSE) and a gapless imaginary spectrum. Here we investigate a class of models in which the NHSE is induced by magnetic flux while the loss is spatially nonuniform. We show that the spatial distribution of loss plays a crucial role in determining the emergence and strength of the NHEB. Notably, even in the absence of the NHSE, a weak boundary accumulation of the loss probability persists. We term this effect a quasi-non-Hermitian edge burst (quasi-NHEB). By analyzing the dependence of the loss probability on the initial position, we further demonstrate that the quasi-NHEB obeys a bulk-edge scaling relation distinct from that of conventional NHEB. Our results show that spatially nonuniform loss alone can generate boundary-localized loss anomalies even without the NHSE, providing new insight into non-Hermitian boundary phenomena and a broader platform for their exploration and potential applications.
