Non-Hermitian edge burst: dynamics, steady states, and interactions

Many intriguing dynamical phenomena arise in non-Hermitian systems that have no analogs in Hermitian cases. In this talk, I will first introduce a novel non-Hermitian quantum dynamical phenomenon called non-Hermitian edge burst, which means that a particle in a lossy lattice exhibits an unexpectedly large probability for the particle loss occurring at the boundary. The edge burst originates from a universal bulk-edge scaling relation of loss probability, which is a consequence of the interplay between two unique non-Hermitian properties: non-Hermitian skin effect and dissipative gap closing. This interesting dynamical phenomenon has been observed recently in photonic platforms. In the second part of this talk, I will introduce a novel dynamical-steady correspondence where the edge burst in non-Hermitian dynamics is mapped to many-body steady states in open quantum systems. Therefore, a universal bulk-edge scaling relation can also exist in the steady-state edge burst. Moreover, adding dissipative interactions further enriches the content of many-body edge burst in steady states, providing a new mechanism of the many-body non-Hermitian skin effect.