  In the two microwave (MW) cross-shaped cavity magnon system, we describe a
method to produce multipartite entanglement and quantum steering. To achieve
squeezed states of the magnons, a Josephson parametric amplifier (JPA) creates
a squeezed vacuum field that drives the two cavities. We theoretically
demonstrate that the cavity-cavity entanglement can be generated at the
resonance point, however, increasing the cavity and magnon decay rates generate
the cavity-magnon entanglement. By changing the squeezing parameter and
increasing the decay rates, we can transfer the cavity-cavity entanglement to
cavity-magnon entanglement. Furthermore, the cavity-cavity entanglement
(survive up to 2.8K) not only found to be much stronger but also more robust as
compared to cavity-magnon entanglement (survive up to 0.4K). More importantly,
the genuine photon-magnon-photon tripartite entanglement could be achieved,
which is robust against the thermal fluctuations and depends strongly on
squeezing parameter. Furthermore, for current dual cavity-magnon system,
two-way quantum steering is found when the optomagnonical couplings are equal.
The current study offers a straightforward and practical method for achieving
multipartite quantum correlations.
