Hybrid spin-optomechanical control of induced transparency in coupled cavity systems

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Abstract
Optomechanics has become a very active area of research in recent years and has attracted significant interest in both theoretical and experimental studies. In this work, we theoretically investigate optomechanically induced transparency (OMIT) using a hybrid system consisting of two coupled optical cavities, each interacting with a spin ensemble. The cavities are coherently driven by a strong control field and a weak probe field. We analytically calculate the transmission spectrum of the coupled spin–cavity system and analyze the dynamics of the system. The obtained transmission response shows clear signatures of multi-window OMIT, which arises from coherent interference between the hybridized normal modes. Our results indicate that the presence of spin ensembles in both cavities significantly enhances the transparency behavior and provides additional tunable parameters to control the OMIT windows. In particular, the transmission spectrum and the shape of the transparency profile can be controlled by the spin–cavity interaction and the inter-cavity coupling strength J . Furthermore, the inter-cavity tunneling rate, spin decoherence, and spin–cavity coupling strength strongly influence the transparency properties. Overall, this study highlights the potential of spin-based multi-cavity optomechanical systems for coherent optical control and tunable quantum interference.

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