Nonreciprocal entanglement, quantum synchronization, and optimal fidelity of teleportation in hybrid cavity-magnon optomechanics via the Barnett effect

Nonreciprocal physics is attracting significant interest across both classical and quantum information processing. In this work, we propose a method for achieving nonreciprocity of optimal fidelity, quantum synchronization, and entanglement within cavity-magnon optomechanics. Optimal bipartite entanglement may be attained by adjusting various parameters. Additionally, we prove that the entanglement remains robust across bath temperatures within the survival range. We find that the phase shift of the optical parametric amplifier (OPA) and the coupling strength between the OPA and the cavity, combined with the Barnett effect, can protect or restore the entanglement among the three bipartitions studied. Our findings indicate that we can explore and control adjustable macroscopic quantum effects in hybrid cavity-magnon optomechanics (HCMOM). By modulating the direction of the magnetic field, the frequency shift of a magnon mode can be adjusted from positive to negative as a result of the Barnett effect. This phenomenon induces a substantial effect on the stability of the system and is instrumental in facilitating nonreciprocal quantum entanglement, synchronization, and optimal quantum fidelity (OQF) of teleportation. Through meticulous tuning of system parameters, it is possible to achieve nearly perfect nonreciprocity.