Arbitrary-order exceptional points in a nanomechanical cavity

Fuente: arXiv
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Main Authors: Wu, Ning, Cui, Kaiyu, Chen, Ziming, Wang, Chenxuan, Feng, Xue, Liu, Fang, Zhang, Wei, Sun, Hao, Li, Yongzhuo, Huang, Yidong
Format: Preprint
Published: 2025
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_version_ 1866912760095309824
author Wu, Ning
Cui, Kaiyu
Chen, Ziming
Wang, Chenxuan
Feng, Xue
Liu, Fang
Zhang, Wei
Sun, Hao
Li, Yongzhuo
Huang, Yidong
author_facet Wu, Ning
Cui, Kaiyu
Chen, Ziming
Wang, Chenxuan
Feng, Xue
Liu, Fang
Zhang, Wei
Sun, Hao
Li, Yongzhuo
Huang, Yidong
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_11679
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Arbitrary-order exceptional points in a nanomechanical cavity
Wu, Ning
Cui, Kaiyu
Chen, Ziming
Wang, Chenxuan
Feng, Xue
Liu, Fang
Zhang, Wei
Sun, Hao
Li, Yongzhuo
Huang, Yidong
Optics
Mesoscale and Nanoscale Physics
Applied Physics
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.
title Arbitrary-order exceptional points in a nanomechanical cavity
topic Optics
Mesoscale and Nanoscale Physics
Applied Physics
url https://arxiv.org/abs/2512.11679