We present protocols to generate quantum entanglement on nonlocal magnons in hybrid systems composed of yttrium iron garnet (YIG) spheres, microwave cavities and a superconducting (SC) qubit. In the schemes, YIGs are coupled respective resonant way, SC qubit is placed at center cavities, which interacts with simultaneously. By exchanging virtual photon, can indirectly interact far-detuning regi...

We derive and solve quantum kinetic equations describing the accumulation of magnetoelastic bosons in an overpopulated magnon gas realized a thin film magnetic insulator yttrium iron garnet. show that presence condensate, there is non-equilibrium steady state which incoherent accumulate narrow region momentum space for energies slightly below bottom spectrum. The results our calculations agree ...