Non-Bloch Edge Dynamics of Non-Hermitian Systems.

Authors

Wen-Tan Xue, Yu-Min Hu, Fei Song, Zhong Wang

Published in

Physical review letters. Volume 137. Issue 9. Pages 096403. Aug 28, 2026.

Abstract

The non-Hermitian skin effect dramatically alters both the spectrum and real-time dynamics of non-Hermitian systems. We investigate the edge dynamics of waves initialized in non-Hermitian lattices, where the non-Hermitian skin effect tends to localize states, leading to behavior beyond the Bloch picture. By focusing on the Lyapunov exponents that quantify wave growth or decay, we show that they are governed by saddle points in the complex momentum space. We introduce an unambiguous criterion based on "Lefschetz thimbles" to identify the dominant saddle point, overcoming the failure of the conventional energy-based criterion. This framework provides a coherent theory for the non-Hermitian edge dynamics, enabling the prediction of observable phenomena such as the non-Bloch boomerang effect-a wave packet round trip across the lattice-and a refined energy threshold for the self-healing of boundary modes.

PMID:
42726960
Bibliographic data and abstract were imported from PubMed on 12 Sep 2026.

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