Non-Hermitian Hamiltonian of two-level systems in complex quaternionic space: An introduction in electronics
| Autor: | Fernande Fotsa-Ngaffo, Aurélien Kenfack-Jiotsa, Stéphane Boris Tabeu |
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| Rok vydání: | 2019 |
| Předmět: |
Physics
Resistive touchscreen Exceptional point General Physics and Astronomy Conical surface 01 natural sciences Hermitian matrix 010305 fluids & plasmas law.invention Capacitor symbols.namesake law 0103 physical sciences symbols Electronics Resistor 010306 general physics Hamiltonian (quantum mechanics) Mathematical physics |
| Zdroj: | EPL (Europhysics Letters). 125:24002 |
| ISSN: | 1286-4854 |
| DOI: | 10.1209/0295-5075/125/24002 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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