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We propose a scheme to generate entanglement between two cavity modes andsqueeze magnon mode in a magnon-cavity QED system, where the two microwavecavity modes are coupled with a massive yttrium iron garnet (YIG) spherethrough magnetic dipole interaction. The nonlinearity used in our systemoriginates from a squeezed driving via parametric down-conversion process,which is the reason to cause entanglement and squeezing. By using the meanfield approximation and employing experimentally feasible parameters, wedemonstrate that the system shows zero entanglement and squeezing withoutsqueezed driving. Meanwhile, our QED system denotes that the entanglementbetween squeezed cavity mode and magnon mode can be transferred to the othercavity mode and magnon mode via magnon-cavity coupling interaction, and thenthe two cavity modes get entangled. A genuinely tripartite entangled state isformed. We also show that magnon mode can be prepared in a squeezed state viamagnon-cavity beam-splitter interaction, which is as a result of the squeezedfield. Moreover, we show that it is a good way to enhance entanglement andsqueezing by increasing the nonlinear gain coefficient of squeezed driving. Ourresults denote that magnon-cavity QED system is a powerful platform forstudying macroscopic quantum phenomena, which illustrates a new method tophoton-photon entanglement and magnon squeezing.

Squeezed driving induced entanglement and squeezing among cavity modes and magnon mode in a magnon-cavity QED system