  In this paper we theoretically investigate the magnomechanically induced
transparency phenomenon and the slow/fast light effect in the situation where
an atomic ensemble is placed inside the hybrid cavity of an
opto-magnomechanical system. The system is driven by dual optical and phononic
drives. We show double magnomechanically induced transparency (MMIT) in the
probe output spectrum by exploiting the phonon-photon coupling strength. In
addition, the fast and slow light effects in the system are explored. Besides,
we show that the slow light profiles is enhanced by adjusting phonon-photon
coupling strength. This result may have potential applications in quantum
information processing and communication.
