Abstract
The magnetic flux pinning phenomenon enables high-$Q$ trapping of a magnet above a superconductor. In practice, the trapped magnet can undergo nonlinear mode coupling and dissipation as its vibration can induce variations of the magnetic field and vortex displacement on the superconductor surface. Here we study nonlinear interactions between vibrational modes of a levitated magnetic mirror above a superconducting disk in vacuum conditions. We observe that by exciting one vibrational mode of the levitated mirror, the vibrational noise of another mode can be suppressed by more than 17 dB. We attribute this unique noise suppression mechanism to the mode coupling and nonlinear dissipation caused by the driven magnetic inhomogeneity of the levitated object. The results suggest that noise reduction of a vibrational mode is possible by driving another orthogonal mode.
Highlights
Levitated mechanical oscillators with exceptionally low mechanical dissipation rates are being investigated for applications in precision sensing and even observation of quantum phenomena at the mesoscopic scale [1]
By exciting the vertical oscillation mode of the magnetic mirror, the magnetic inhomogeneity in the orthogonal directions can be introduced via mode coupling
The induced dissipation is the result of mode coupling and nonlinear damping inherent in superconductors
Summary
Levitated mechanical oscillators with exceptionally low mechanical dissipation rates are being investigated for applications in precision sensing and even observation of quantum phenomena at the mesoscopic scale [1]. We consider a levitated magnetic mirror above a superconductor and study the mode coupling and nonlinear dissipation. By numerically solving the coupled equations of motions for different degrees of freedom, we are able to calculate the resonant frequencies of different modes of the levitated magnetic mirror.
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