Tunable multiple magnomechanically induced transparency windows and controllable fast-slow light in a cavity-magnon-phonon hybrid system

We study magnomechanically induced transparency (MMIT) with two yttrium iron garnet spheres in a microwave cavity with different interaction parameters. According to numerical simulations, the steady-state magnon number is sensitive to both bias and drive magnetic fields and rises with a stronger coupling between cavity photons and magnons. The significance of the bias field in energy transfer is demonstrated by prominent peaks in the magnon population close to resonant fields. The transmission spectrum shows that the coupling and magnon-phonon interactions determine the tunable transparency windows, which can have up to four peaks. By identifying normal and anomalous regions through dispersion analysis, slow and fast light propagation are achieved, which is influenced by the coupling strength. Variations in phase and group delay, which are affected by the drive field, provide additional evidence that transparency windows are tunable. We assert that this work shows how MMIT can be used for precise control over light-matter interactions without the need for extra nonlinearity, with potential applications in optical communications and quantum information processing.