Arbitrary-order exceptional points in a nanomechanical cavity
Abstract
Higher-order exceptional points (EPs) govern non-Hermitian system dynamics through their enriched and sharpened spectral topology, yet the intrinsic topological fragility hinders robust experimental realization. Here, we present a scalable architecture that implements arbitrary-order EPs via a recurrent network comprising a single nanomechanical resonator and unlimited virtual resonators. We experimentally realize mechanical EPs up to the seventh order and confirm this architecture's scalability. Moreover, we reveal that the fundamental noise component and the measured signal share the same system coupling channel and thus undergo identical root-response amplification near EPs of arbitrary order, consistent with our signal-to-noise ratio measurements. Our work establishes a general platform for exploring higher-order EP-based phenomena while clarifying the fundamental boundary of non-Hermitian sensitivity enhancement across diverse physical systems.
Cite
@article{arxiv.2512.11679,
title = {Arbitrary-order exceptional points in a nanomechanical cavity},
author = {Ning Wu and Kaiyu Cui and Ziming Chen and Chenxuan Wang and Xue Feng and Fang Liu and Wei Zhang and Hao Sun and Yongzhuo Li and Yidong Huang},
journal= {arXiv preprint arXiv:2512.11679},
year = {2025}
}