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    Nonreciprocal macroscopic entanglement between two magnon modes induced by Kerr nonlinearity

    Qi Guo1,2,*, Jia-Xin Wang1,2, Cheng-Hua Bai3, Yuchi Zhang1,2, Gang Li1,2, and Tiancai Zhang1,2,†

    • 1State Key Laboratory of Quantum Optics Technologies and Devices, Institute of Opto-Electronics, College of Physics and Electronic Engineering, Shanxi University, Taiyuan, Shanxi 030006, China
    • 2Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
    • 3Department of Physics, School of Science, North University of China, Taiyuan, Shanxi 030051, China

    • *Contact author: qguo@sxu.edu.cn
    • †Contact author: tczhang@sxu.edu.cn

    Phys. Rev. B 112, 144422 – Published 14 October, 2025

    DOI: https://doi.org/10.1103/343d-t8pv

    Abstract

    We demonstrate nonreciprocal macroscopic entanglement between magnon modes in two yttrium-iron-garnet (YIG) spheres induced by the Kerr effect stemming from magnetocrystalline anisotropy. The two YIG spheres with different sizes are placed in a microwave cavity, and the magnon modes couple to the microwave cavity photons by the magnetic dipole interaction. The microwave cavity can be adiabatically eliminated by far detuning from the magnon modes, and thus mediates the indirect interaction between two magnon modes. The magnon Kerr nonlinearity of the small YIG sphere is enhanced by the appropriate drive. Meanwhile, the sign of the Kerr coefficient can be manipulated by changing the direction of the bias magnetic field, in turn causing the nonreciprocity of magnon-magnon entanglement. We numerically analyze the optimal parameter regions for generating the entanglement. The properties of the nonreciprocal entanglement are explored by analyzing the defined bidirectional contrast ratio, which reveals the different strategies for controlling the nonreciprocity of the entanglement. The presented scheme provides an alternative method for the nonreciprocal macroscopic entanglement and may have potential applications in nonreciprocal quantum devices and macroscopic quantum effects.

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