Quasi-Non-Hermitian Edge Bursts Induced by Nonuniform Loss

• URL: http://arxiv.org/abs/2607.19097v1
• Date: Tue, 21 Jul 2026 13:38:46 GMT
• Title: Quasi-Non-Hermitian Edge Bursts Induced by Nonuniform Loss
• Abstract summary: Non-Hermitian quantum walks on lossy lattices with open boundaries can exhibit an anomalous peak of the loss probability at the boundary.<n>This phenomenon has been attributed to the combined effect of the non-Hermitian skin effect (NHSE) and a gapless imaginary spectrum.<n>We show that the spatial distribution of loss plays a crucial role in determining the emergence and strength of the NHEB.
• Score: 4.188010921640107
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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