Noise-enabled precision measurements of a Duffing nanomechanical resonator
J. S. Aldridge, A. N. Cleland
Abstract
We report quantitative experimental measurements of the nonlinear response of a radiofrequency mechanical resonator, with very high quality factor, driven by a large swept-frequency force. We directly measure the noise-free transition dynamics between the two basins of attraction that appear in the nonlinear regime, and find good agreement with those predicted by the one-dimensional Duffing equation of motion. We then measure the response of the transition rates to controlled levels of white noise, and extract the activation energy from each basin. The measurements of the noise-induced transitions allow us to obtain precise values for the critical frequencies, the natural resonance frequency, and the cubic nonlinear parameter in the Duffing oscillator, with direct applications to high sensitivity parametric sensors based on these resonators.
Create a lesson
Related papers
Single anyons and anyon binding in a quantum Hall dot
Marco Valentini, Will Wang, Amir Shapour Mohammadi et al.
Spin textures at the Fermi surface of ferromagnets and associated torque
T. Valet, J. Li, H. Jaffrès et al.
Dark state preparation in a zero-field-split molecular triplet
Maria Pfahler, Andrea Donarini
Plasmon modes in triple-point semimetal, its quadratic cousin, and Hopf semimetal
Ipsita Mandal
Role of dissipation dilution in achieving high mechanical quality factors in van der Waals resonators
Lukas Schleicher, Leonard Geilen, Alexander Musta et al.
Zeeman spin quantum geometry and intrinsic gyrotropic spin current
Srijan Chatterjee, Tarun Kanti Ghosh