Enhanced entanglement and quantum steering of direct and indirect modes in magnomechanical system

Abstract This study is based on a theoretical proposal for quantum steering, non-locality, and entanglement in a two microwave cavities based magnomechanical system. The system is composed of two microwave (MW) cavity mode photons, phonons associated with mechanical mode and a magnon mode. We have employed a standard damping approach and found that steerability and entanglements among different bipartite subsystems strongly depend upon the detuning of indirectly coupled cavity mode and effective magnon detuning. One/two-way quantum Steering and non-local correlation have been found in the system for different choices of bipartitions. In addition, entanglement generated in the system enhances and has shown to be more robust against the thermal effects, as compared with the earlier studies. Interestingly, we have shown that the magnomechanical entanglements among different bipartitions have a complementary relation due to the transfer entanglement. This shows an additional insight into the system dynamics which shows that there exists a ”tie-up” relationship among these bipartitions. The present magnomechanical system will open new perspectives in quantum tasks that demand the entanglement of microwave cavity fields.