Tunable Multiwindow Magnomechanically Induced Transparency, Fano Resonances, and Slow-to-fast Light Conversion

We investigate the absorption and transmission properties of a weak probe field under the influence of a strong control field in a hybrid cavity magnomechanical system in the microwave regime. This hybrid system consists of two ferromagnetic material yttrium iron garnet (YIG) spheres strongly coupled to a single cavity mode. In addition to two magnon-induced transparency (MIT) that arise due to strong photon-magnon interactions, we observe a magnomechanically induced transparency (MMIT) due to the presence of nonlinear phonon-magnon interaction. In addition, we discuss the emergence and tunability of the multiple Fano resonances in our system. We find that due to strong photon-magnon coupling the group delay of the probe field can be enhanced significantly. The subluminal or superluminal propagation depends on the frequency of the magnons, which can be easily tuned by an external bias magnetic field. Besides, the group delay of the transmitted field can also be controlled with the control field power.