The present study is based on a theoretically feasible scheme for the enhancement of entanglement between different bipartitions due to magnon squeezing in a two-cavity magnomechanical system, having two microwave cavity mode photons, a magnon mode, and phonon mode. The nonlinearity in the system is well enhanced owing to magnon squeezing, which is responsible for the enhancement of different bipartitions’ entanglement. By employing the standard Langevin approach, we found that the magnon squeezing parameter not only enhances the entanglement between directly coupled modes, but also has a considerable impact on indirectly coupled modes’ entanglement. In addition, we find the negative impact of the thermal bath for the mechanical mode on the generation of photon–phonon and magnon–phonon entanglements. Furthermore, magnon squeezing has shown a significant role in the entanglement robustness against thermal effects. Moreover, the tripartite entanglement among photon, magnon, and phonon is also considerably enhanced in the presence of magnon squeezing. This two-cavity magnomechanical system might be used in quantum tasks that require the enhancement of entanglement of indirectly coupled modes.

We analytically investigate the Fano-type optical response and the four-wave mixing (FWM) process by exploiting the magnetoelasticity of a ferromagnetic material. The deformation of the ferromagnetic material plays the role of mechanical displacement, which is simultaneously coupled to both optical and magnon modes. We report that the magnetostrictively induced displacement leads to realization of Fano profiles in the output field and is effectively well-tuned through adjusting the system parameters, such as effective magnomechanical coupling, magnon detuning, and cavity detuning. It is found that the magnetoelastic interaction also gives rise to the FWM phenomenon. The number of the FWM signals mainly depends upon the effective magnomechanical coupling and the magnon detuning. Moreover, the FWM spectrum exhibits suppressive behavior upon increasing (decreasing) the magnon (cavity) decay rate. The present scheme will open new perspectives in highly sensitive detection and quantum information processing.

We consider a quadpartite hybrid system that incorporates a microwave cavity, a yttrium-iron-garnet (YIG) magnetic sphere resonator, a mechanical resonator, and an $LC$ electrical resonator. The entanglement and the quantum steering properties of this quadpartite system are thoroughly investigated by considering practical parameters. The microwave cavity mode is directly coupled to the magnon, mechanical, and electrical modes via Kittel magnetostatics, radiation pressure, and adjustable capacitance of the $LC$ configuration, respectively. We demonstrate tripartite entanglement among different modes, including indirectly coupled modes (such as magnon entanglement with mechanical and $LC$ electrical modes) for operating temperatures up to 2 K. Furthermore, we observe the presence of asymmetric one-way steering, revealing that the mechanical oscillator and the $LC$ resonant modes can steer the indirectly coupled magnon mode (yet in one direction while steering is not possible in the backward direction). The integration of the four interacting modes provides a variety of controlling degrees of freedom and makes the proposed quadpartite system an attractive approach for a wide range of applications, including data processing and communication, sensing, and quantum technologies.

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.