English

Edge burst effect and scale-free localization

Quantum Physics 2025-06-11 v1 Optics

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.

Keywords

Cite

@article{arxiv.2506.08559,
  title  = {Edge burst effect and scale-free localization},
  author = {G. Sen and C. Yuce},
  journal= {arXiv preprint arXiv:2506.08559},
  year   = {2025}
}
R2 v1 2026-07-01T03:08:39.538Z