Noise-robust and highly sensitive sensing empowered by non-Hermitian amplification
Phys. Rev. B 113, 104307 – Published 16 March, 2026
DOI: https://doi.org/10.1103/gr8d-b74y
Abstract
Exceptional points (EPs), non-Hermitian degeneracies where eigenvalues and eigenstates simultaneously coalesce, enable exponential energy splitting in response to small perturbations, yielding sensitivity beyond conventional limits. However, EP-based sensors are particularly vulnerable to noise, which can obscure signals and degrade measurement accuracy. Here, we propose a noise-robust sensing scheme. The scheme harnesses the exponential response of EPs, which allows a rapid decay of the noise level when operating slightly off the degeneracy. By synergistically incorporating non-Hermitian directional amplification to exponentially enhance signals, our approach achieves simultaneous high sensitivity and noise resilience. Numerical verification confirms exponential noise reduction compared to direct EP operation. By carefully correlating instrumental parameters, perturbation strength, and noise levels, we establish a comprehensive design framework for sensitivity-robustness optimization. To validate the practical feasibility of this scheme, we further design an acoustic sensing device composed of interconnected cavities, utilizing electro-acoustic coupling as the source of non-Hermitian directional amplification. Simulated results confirm that a moderate-scale, off-EP configuration can achieve both high sensitivity and strong noise robustness. Our strategy overcomes the traditional trade-off between sensitivity and noise resilience, paving the way for practical applications of non-Hermitian EP sensing.