Understanding non-Hermitian systems: statics and dynamics

by Awadhesh Narayan (Indian Institute of Science, Bengaluru)

Tuesday 7 Oct 2025, 11:00 → 12:00 Europe/Zurich

WHGA/121

Non-Hermitian systems have attracted significant attention in the past few years. They feature a number of unique properties such as exceptional points and the skin effect. In this talk, I will first present a framework to characterize exceptional points using Newton polygons and tropical geometry [1,2]. I will show simple examples to illustrate this framework. In the second part, I will present our recent results on the dynamical interplay between the non-Hermitian skin effect and topological edge states [3]. Using the Lindbladian approach, I will illustrate how open quantum systems are impacted by the combined presence of spectral and band topologies.

[1] R. Jaiswal, A. Banerjee, and A. Narayan, New J. Phys. 25, 033014 (2023).

[2] A. Banerjee, R. Jaiswal, M. Manjunath, and A. Narayan, Proc. Natl. Acad. Sci. U.S.A. 120, e2302572120 (2023).

[3] R. Sarkar, S. S. Hegde, A. Narayan, and T. Meng, arXiv:2503.07193.