Non-Hermitian Hamiltonian of two-level systems in complex quaternionic space: An introduction in electronics. (21st February 2019)

• Record Type: Journal Article
• Authors: Tabeu, S. B.; Fotsa-Ngaffo, F.; Kenfack-Jiotsa, A.
• Is Part Of: Europhysics letters. Volume 125:Number 2(2019)
• Publication Date: 2019-02-21
• Subjects: 42.65.Yj -- 84.30.Ng -- 42.79.Gn; Physics -- Periodicals; Electronic journals; 530.05
• DOI: 10.1209/0295-5075/125/24002
• Languages: English
• ISSNs: 0295-5075

Abstract

Abstract: An imaginary resistor ( Z ) based electronic dimer is used to describe the gyroscopic and resistive coupled two-level systems in quaternionic space. We successfully used the quaternionic coefficients to characterize the different classes of non-Hermitian systems: the pseudo-Hermitian and anti-Hermitian, both having exceptional points (EPs) separating the exact and the broken phases. Remarkably, the EPs conical dynamic is fully described to follow a hyperbolic/parabolic shape in the case of parity-time symmetry (PTS)/anti-PTS, respectively. Interestingly, our results demonstrated that the gyroscopic coupling mechanism allows identical non-dissipative but non-oscillatory systems with negative capacitor to exhibit PTS-like behavior.