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    Noise-resilient phase detection enabled via nonlinear non-Hermitian electronics

    Yan-qiang Ma*, An Chen*, Yi-fei Xia, Jing Yang†, Bin Liang, and Jian-chun Cheng

    • Collaborative Innovation Center of Advanced Microstructures and Key Laboratory of Modern Acoustics, MOE, Institute of Acoustics, Department of Physics, Nanjing University, Nanjing 210093, People’s Republic of China and Jiangsu Physical Science Research Center, Nanjing 210093, People’s Republic of China

    • *These two authors contributed equally to this work.
    • †Contact author: yangj@nju.edu.cn

    Phys. Rev. Applied 26, 034040 – Published 17 September, 2026

    DOI: https://doi.org/10.1103/d65d-z83w

    Abstract

    Maintaining phase consistency under noisy conditions is a key issue in high-fidelity signal transmission. Traditional single-threshold phase detection methods rely on history-independent polarity discrimination, rendering them prone to waveform distortion. Non-Hermitian systems, although promising for sensitivity enhancement, remain susceptible to noise-induced eigenvalue fluctuations. Here, we theoretically propose and experimentally demonstrate a nonlinear non-Hermitian memory system (NNHMS) for noise-resilient phase detection based on a non-Foster circuit. The NNHMS embeds prior state information of signals into Hamiltonian switching, producing a memory region that confines signals to discrete states against external disturbances and thus ensuring reliable phase fidelity. By mapping the nonlinear memory effect to electronic dynamics, we experimentally observe a tunable Hamiltonian transition originating from loss engineering, enabling the NNHMS to adapt to different noise intensities. As a representative example, we apply the system to acoustic vortex phase detection, achieving a significant increase in signal similarity (approximately 76%) relative to traditional methods. Good agreement between experimental and numerical results verifies the effectiveness of our proposed NNHMS. The demonstrated nonlinear non-Hermitian memory effect opens a new route for noise-immune phase preservation in fields ranging from biomedical monitoring to industrial diagnostics.

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