Figure 2

Bipartite entanglement between the cavity and one magnon versus \(\Delta _{1}\) and \(\Delta _{2}\) (in unit of cavity detuning \(\Delta _{a}\)) when another is decoupled with the cavity, i.e., \(E_{N}^{a m_{1}}\) for \(g_{2}=0\text{ MHz}\) in (a) and \(E_{N}^{a m_{2}}\) for \(g_{1}=0\text{ MHz}\) in (b). When the two magnons are simultaneously coupled with the cavity, the cavity-magnon entanglement \(E_{N}^{a m_{1}}\) is depicted in (d), \(E_{N}^{a m_{2}}\) in (e) and the magnon-magnon entanglement \(E_{N}^{m_{1} m_{2}}\) in (c). Meanwhile, the magnon-magnon entanglement \(E_{N}^{m_{1} m_{2}}\) is depicted versus the coupling strength ratio \(g_{2}/g_{1}\) and the dissipation ratio \(\kappa _{2}/\kappa _{1}\) in (f) for \(\Delta _{1}=-\Delta _{2}=\Delta _{a}\). See text for details of the other parameters