Edge burst effect and scale-free localization

TL;DR

This paper investigates the edge burst effect in non-Hermitian quantum systems, demonstrating its occurrence in a lossy lattice with bipolar NHSE and showing that skin effect is not essential for edge burst phenomena.

Contribution

The study introduces a model exhibiting bipolar scale-free localization and confirms the edge burst effect can occur independently of the skin effect.

Findings

Edge burst observed in a lossy bipartite non-Hermitian lattice.

Bipolar scale-free localization demonstrated through weak coupling.

Edge burst effect is not dependent on the skin effect.

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.