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    Noise-tolerant macroscopic magnon-phonon quantum entanglement and nonreciprocity via Duffing nonlinearity and the Barnett effect

    Xin Wang1,*, Kai-Wei Huang2, Zhi-Hong He2, Yi Ren2, Zhenshan Yang1,†, and Hao Xiong2

    • *Contact author: seuxinwang@126.com
    • †Contact author: yangzhenshan@lcu.edu.cn

    Phys. Rev. A 114, 053709 – Published 6 November, 2026

    DOI: https://doi.org/10.1103/ptj7-f6md

    Abstract

    We study macroscopic magnon-phonon quantum entanglement in a magnomechanical system with Duffing nonlinearity and nonreciprocity induced by the Barnett effect. When two degenerate phonon modes are coupled to a magnon mode supported by an yttrium iron garnet (YIG) sphere, the dark-mode effect suppresses quantum entanglement under strong thermal noise. After introducing Duffing nonlinearity, dark-mode breaking (DMB) occurs, enabling noise-tolerant magnon-phonon entanglement through simultaneous ground-state cooling of the phonon modes. When the YIG sphere is spinning, the Barnett effect can induce a nonreciprocal cooling effect in the DMB regime, resulting in one-way protection of the magnon-phonon quantum entanglement against thermal noise. Noise-tolerant nonreciprocal macroscopic magnon-phonon quantum entanglement is realized. We further extend the scheme to a multimode magnomechanical system with many-body degenerate mechanical phonon modes, where a magnon-phonon quantum entanglement network can be generated under strong thermal noise since multiple phonon modes can be cooled simultaneously to ground states in the DMB regime. Incorporating the Barnett effect, nonreciprocal simultaneous ground-state cooling of multiple phonon modes is achieved, which causes the noise-tolerant magnon-phonon quantum entanglement network to exhibit strong nonreciprocity. Our results provide a promising route toward control of the macroscopic quantum state, engineering of many-body ground-state cooling, and constructing a chiral quantum network.

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