Generating three transparency windows, Fano-resonance, and slow/fast light in magnomechanical system through an auxiliary microwave cavity

In this paper, we propose a theoretical scheme to investigate the magnomechanically induced transparency (MMIT) phenomenon, Fano resonances, and slow/fast light effects in a hybrid cavity magnomechanical system. The magnomechanical system consists of two cavities: the principal cavity contains two ferromagnetic yttrium iron garnet (YIG) spheres, and the auxiliary cavity contains an atomic assembly. These two cavities are connected via photon tunneling, with the principal cavity being driven by two electromagnetic fields. The photon-magnon and phonon-magnon couplings are responsible for the magnon-induced transparency (MIT) and MMIT observed in the probe output spectrum. Furthermore, we examine the impacts of tunneling coupling, atom-photon coupling, and the magnetic field on the absorption, dispersion, and transmission spectra. We provide an explanation of the mechanism behind the Fano resonance phenomenon. Additionally, we address the phenomenon of slow and fast light propagation. Moreover, we demonstrate that the group delay of the probe field can be enhanced by increasing the photon tunneling strength. We also show that the slow light profile is reduced by adjusting the atom-photon coupling strength. This model is experimentally feasible, and we anticipate that these findings have potential applications in quantum information processing and communication.