Tunable optomechanically induced transparency and Fano resonances in a hybrid whispering gallery mode-magnon system

The optomechanically induced transparency (OMIT) phenomenon is the optomechanical analogue of electromagnetically induced transparency that offers unique insights into light–matter interactions. We propose a hybrid setup consisting of a whispering gallery mode (WGM) microresonator and a yttrium iron garnet sphere that are uniquely in physical contact via the phonons of both materials. Utilizing the system parameters of both microspheres, we investigate the tunable single as well as multiple OMIT due to the quantum interference between the fields interacting within the WGM microresonator. By modifying the resonance conditions, the setup also exhibits Fano resonances that result from the asymmetric interference effects and can dramatically enhance system sensitivity and selectivity. To investigate the phase dynamics associated with the OMIT phenomenon and to see how it influences the system’s response to incident light, we analyze the group delay of the output probe field by tuning the detuning parameters of the optical microcavity and magnon modes. The coupling elements associated with photons, phonons, and magnons are essential and influence the quantity and behavior of the OMIT windows. Careful investigation of these phenomena offers new opportunities for manipulating and detecting quantum states, as well as developing adjustable optical filters, tunable light-speed devices, optical switches, and highly precise sensors by enabling meticulous modulation of light transmission and speed.