In this paper, we present a coherent feedback loop scheme to enhance the magnon–photon–phonon entanglement in cavity magnomechanics. We provide a proof that the steady state and dynamical state of the system form a genuine tripartite entanglement state. To quantify the entanglement in the bipartite subsystem and the genuine tripartite entanglement, we use the logarithmic negativity and the minimum residual contangle, respectively, in both the steady and dynamical regimes. We demonstrate the feasibility of our proposal by implementing it with experimentally realizable parameters to achieve the tripartite entanglement. We also show that the entanglement can be significantly improved with coherent feedback by appropriately tuning the reflective parameter of the beam splitter and that it is resistant to environmental thermalization. Our findings pave the way for enhancing entanglement in magnon–photon–phonon systems and may have potential applications in quantum information.

在本文中，我们提出了一种相干反馈回路方案，以增强腔磁力学中的磁振子-光子-声子纠缠。我们证明了系统的稳态和动态形成真正的三重纠缠态。为了量化二分子系统中的纠缠和真正的三分纠缠，我们分别在稳态和动态状态下使用对数负性和最小剩余纠缠。我们通过使用实验可实现的参数来实现三方纠缠来证明我们提议的可行性。我们还表明，通过适当调整分束器的反射参数，相干反馈可以显着改善纠缠，并且它可以抵抗环境热化。