CMX Lunch Seminar

Non-Hermitian skin effect in resonator systems

Silvio Barandun, Postdoctoral Scholar Research Associate, Department of Mathematics, Massachusetts Institute of Technology,

Speaker's Bio:
I am a Postdoctoral Research Fellow at the Department of Mathematics at MIT, working in the group Nanostructures and Computation lead by Prof. S. G. Johnson. I defended my PhD in April 2025 after working at the Department of Mathematics of ETH Zurich under the supervision of Prof. H. Ammari. I research photonic and phononic wave propagation in complex media. I am mostly interested in non-Hermitian systems with a geometric component.

The skin effect is the phenomenon whereby the bulk eigenmodes of a non-Hermitian system are all localised at one edge of an open system. I will present the mathematical theory of the non-Hermitian skin effect in systems of finitely and infinitely many sub-wavelength resonators with a non-Hermitian imaginary gauge potential and analyse its resonance in the deep subwavelength regime.

I will particularly focus on localisation results arising from the Toeplitz nature of the discrete approximation of the system.

A part of the presentation will touch on disordered localisation effects similar to Anderson localisation.

For more information, please contact Jolene Brink by phone at (626)395-2813 or by email at [email protected] or visit CMX Website.