Observation of Hermitian and Non-Hermitian Diabolic Points and
Exceptional Rings in Parity-Time symmetric ZRC and RLC Dimers
- URL: http://arxiv.org/abs/2005.11311v1
- Date: Fri, 17 Apr 2020 15:51:49 GMT
- Title: Observation of Hermitian and Non-Hermitian Diabolic Points and
Exceptional Rings in Parity-Time symmetric ZRC and RLC Dimers
- Authors: St\'ephane Boris Tabeu, Fernande Fotsa-Ngaffo, and Aur\'elien
Kenfack-Jiotsa
- Abstract summary: We show how appears non-Hermitian degeneracy points in the spectrum and how they are protected against a Hermitian perturbation.
This work opens a gold road for investigations on topological electrical circuits for robust transport of information at room temperature.
- Score: 62.997667081978825
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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