Edge burst effect and scale-free localization

• URL: http://arxiv.org/abs/2506.08559v1
• Date: Tue, 10 Jun 2025 08:28:28 GMT
• Title: Edge burst effect and scale-free localization
• Authors: G. Sen, C. Yuce,
• Abstract summary: The non-Hermitian edge burst is a phenomenon observed in non-Hermitian quantum dynamics.<n>We present an example of the edge burst effect in a lossy lattice with bipolar non-Hermitian skin effect.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The non-Hermitian edge burst is a phenomenon observed in non-Hermitian quantum dynamics, characterized by a significant accumulation of loss at the boundaries of a system. We present an example of the edge burst effect in a lossy lattice with bipolar non-Hermitian skin effect (NHSE). By introducing a weak coupling between two such non-Hermitian lattices, we demonstrate that the system exhibits bipolar scale-free localization. Through an analysis of local decay distributions and their sensitivity to system parameters, we confirm the occurrence of the edge burst effect in the system displaying scale-free localization. Our findings support the notion that the skin effect is not a necessary condition for the edge burst effect.

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