Driven nonlinear damping and mode coupling in a superconducting levitated magnet

The magnetic flux pinning phenomenon enables high-$Q$ trapping of a magnet above superconductor. In practice, the trapped can undergo nonlinear mode coupling and dissipation as its vibration induce variations field vortex displacement on superconductor surface. Here we study interactions between vibrational modes levitated mirror superconducting disk in vacuum conditions. We observe that by exciting one mirror, noise another be suppressed more than 17 dB. attribute this unique suppression mechanism to caused driven inhomogeneity object. results suggest reduction is possible driving orthogonal mode.