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We demonstrate the dispersive measurement of ferromagnetic resonance in ayttrium iron garnet sphere embedded within a microwave cavity. The reduction inthe longitudinal magnetization at resonance is measured as a frequency shift inthe cavity mode coupled to the sphere. This measurement is a result of theintrinsic non-linearity in magnetization dynamics, indicating a promising routetowards experiments in magnon cavity quantum electro-dynamics.

Dispersive read-out of ferromagnetic resonance for strongly coupled magnons and microwave photons