Tunable magnomechanically induced transparency and slow–fast light propagation in a hybrid cavity magnomechanical system

We theoretically investigate the tunability of magnomechanically induced transparency (MMIT) phenomenon and slow–fast light propagation in a hybrid cavity magnomechanical system which consists of two ferromagnetic-material yttrium iron garnet (YIG) spheres and a nitrogen-vacancy center ensemble (NVE) inside a microwave cavity. We not only observed two magnetically induced transparencies (MITs), but also MMIT due to the nonlinear phonon–magnon interaction in the probe output spectrum. We studied the effect of NVE in the output field which showed that we can obtain better transparency by selecting the appropriate NVE parameters. Besides, we set up a new scheme for measuring the coupling strength of NVE-magnon. We further explored the slow–fast light conversion phenomenon and found that it can be achieved by changing the coupling strength of NVE-magnon. The results may be of some guidance in enhancing MMIT, which has potential applications in fields of high-precision measurement and quantum information networks.