Magnomechanically induced absorption and switching properties in a dispersively coupled magnon-qubit system

We theoretically study the non-linear behavior of a hybrid quantum magnomechanical system, where the system consisting of a superconducting qubit couples dispersively to a magnon-phonon mode. The magnetic excitations (magnons) can interact with the mechanical vibrations of the system via a magnomechanical interaction, which results in the formation of magnomechanically induced transparency in the output of the system. We investigate the system's switching behavior in the dressed qubit anharmonicity of the system and shows the sharp bistable frequency switching of the magnon-excitons. The proposed model also shows a realistic scheme to measure the magnon-qubit dispersive shift in the absorption spectra of the probe field. The absorption spectrum induced by the dispersive coupling shows a series of asymmetric double Fano line shapes whose positions can be determined by the magnon-qubit driving field. Our results will provide a theoretical approach to understand the complex and dynamic non-linear interactions and may come up with great significance in the realization of quantum sensing applications of magnonic systems.