- Letter
High-Order Exceptional Points in Pseudo-Hermitian Radio-Frequency Circuits
Phys. Rev. Applied 20, L021003 – Published 15 August, 2023
DOI: https://doi.org/10.1103/PhysRevApplied.20.L021003
Abstract
Exceptional points (EPs) in non-Hermitian systems have been widely investigated due to their increased sensitivity in comparison with standard systems. In this Letter, we report the observation of higher-order pseudo-Hermitian degeneracies in an electronic platform comprising three inductively coupled gain-loss-loss resonators. Theoretical analysis demonstrates that the proposed system can realize third-order EPs with asymmetric coupling between adjacent inductors and an arbitrary scaling factor between two loss resonators. When capacitive perturbation is introduced on the middle resonator, the perturbed eigenfrequencies follow a cube-root dependence on the perturbation parameter; in this case, the sensitivity is significantly greater than that of conventional wireless readout methods. Our work enriches the explorations of higher-order EPs on electronic platforms and provides a new degree of design freedom for the non-Hermitian-EP-enhanced wireless sensing system.