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    Physical Realization of an Anti-P-Pseudo-Hermitian Mechanical System

    Yanzheng Wang1,2,*, Jianlei Zhao3,*, Qian Wu2, Xiaoming Zhou4, Heng Jiang5, Weiqiu Chen6, Mu Wang7, and Guoliang Huang3,†

    • 1Huanjiang Laboratory, Zhejiang University, Zhuji 311800, People’s Republic of China
    • 2Department of Mechanical and Aerospace Engineering, University of Missouri, Columbia, Missouri 65211, USA
    • 3Department of Mechanics and Engineering Science, Peking University, Beijing 100871, People’s Republic of China
    • 4Key Laboratory of Dynamics and Control of Flight Vehicle of Ministry of Education, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
    • 5Key Laboratory of Microgravity, Institue of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
    • 6Department of Engineering Mechanics, Zhejiang University, Hangzhou 310007, People’s Republic of China
    • 7National Laboratory of Solid State Microstructures, School of Physics, and Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, People’s Republic of China

    • *These authors contributed equally to this work.
    • †Contact author: guohuang@pku.edu.cn

    Phys. Rev. Lett. 136, 096101 – Published 4 March, 2026

    DOI: https://doi.org/10.1103/dvf6-gns1

    Abstract

    The anti-P-pseudo-Hermitian system has recently been recognized as a new avenue in non-Hermitian physics, exhibiting symmetry-related phenomena without the need for time-reversal symmetry. However, its physical realization remains challenging due to the difficulty of integrating tunable media while simultaneously enabling nonreciprocal coupling. In this Letter, we introduce a novel framework for constructing an anti-P-pseudo-Hermitian mechanical system by incorporating piezoelectric actuators and sensors with nonreciprocal coupling into mechanical beams. We theoretically demonstrate that this system can exhibit programmable exceptional points (EPs) and validate our approach numerically and experimentally. Precise tuning of EPs is crucial for optimizing the system’s sensitivity under operational conditions. As a key demonstration, we show that this system excels in detecting minute mass variations, making it highly effective for ultrasensitive sensing applications. This Letter not only advances the understanding of non-Hermitian physics, but also lays the groundwork for the next generation of mechanical sensors based on EP physics.

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