Magnon-Phonon-Photon Entanglement via the Magnetoelastic Coupling in a Magnomechanical System

We present an efficient and experimentally feasible scheme for the generation of entanglement among photon, magnon and phonon by exploiting magnetoelastic interaction between magnonic and phononic modes. Our scheme is based on direct coupling between magnon and phonon modes whereas magnon and optical modes are indirectly coupled. Our numerical results show that the magnetoelastic coupling between magnon and phonon is significantly larger than the optomechanical coupling between photon and phonon. In addition to directly coupled modes entanglements, indirectly coupled bipartition also shows a strong correlation when we consider the magnon frequency to be much larger than the phonon frequency and magnon decay rate to be less than the cavity decay rate. Furthermore, we also obtained the robustness of entanglement, among all bipartitions, against thermal and environmental fluctuations. Moreover, we have characterized tripartite entanglement which shows the existence of a strong correlation among magnon, phonon, and photon.