Observation of Hermitian and Non-Hermitian Diabolic Points and Exceptional Rings in Parity-Time symmetric ZRC and RLC Dimers

TL;DR

This paper reports the experimental observation of diabolic points and exceptional rings in Hermitian and non-Hermitian parity-time symmetric electrical dimers, demonstrating topological features and robustness in electrical circuits.

Contribution

It introduces the first experimental observation of non-Hermitian degeneracies and exceptional rings in PT-symmetric electrical dimers, linking topological phenomena to electrical circuit design.

Findings

Non-Hermitian degeneracy points are identified and protected against Hermitian perturbations.

Adding non-Hermitian perturbations transforms diabolic points into exceptional rings.

Experimental simulations match analytical and numerical predictions.

Abstract

We present the observation of diabolic points in Hermitian and non-Hermitian electronics dimers. The condition of unbreakable Parity-time symmetry is established for both PT-symmetric ZRC and RLC dimers. We show how appears non-Hermitian degeneracy points in the spectrum and how they are protected against a Hermitian perturbation. When a non- Hermitian perturbation is added in the setup, the non-Hermitian diabolic point (NHDP) turns into a ring of exceptional points as in some Dirac and Weyl semimetals. Some experimental simulations of oscillations around these particular points in LTspice are in perfect accordance with the one predicted analytically and numerically. This work opens a gold road for investigations on topological electrical circuits for robust transport of information at room temperature.