  We present a scheme to implement a steady lightwave-photon-and-magnon
entanglement in a hybrid photon-magnon system by adiabatically eliminating the
auxiliary microwave cavity and effectively laser cooling a delocalized
Bogoliubov mode. The system consists of magnons, lightwave and microwave
photons, and phonons. The magnons are embodied by a collective motion of a
large number of spins in a macroscopic ferrimagnet. To achieve an entangling
interaction between magnons and lightwave photons, we drive optical cavity and
magnon at the red and blue sideband associated with the mechanical resonator.
In particular, optimizing the relative ratio of effect couplings, rather than
simply increasing their magnitudes, is essential for achieving strong
entanglement. Unlike typical dissipative entanglement schemes, our results
cannot be described by treating the effects of the entangling reservoir via a
Linblad master equation.
