In a strongly driven nanomechanical mode, ring-down in the rotating frame is non-exponential: the in-phase component initially decays at about twice the rate of the quadrature, as a Duffing model with a dominant second harmonic predicts.
Temperature Dependent Non-linear Damping in Palladium Nano-mechanical Resonators
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abstract
Advances in nano-fabrication techniques has made it feasible to observe damping phenomena beyond the linear regime in nano-mechanical systems. In this work, we report cubic non-linear damping in palladium nano-mechanical resonators. Nano-scale palladium beams exposed to a $H_2$ atmosphere become softer and display enhanced Duffing non-linearity as well as non-linear damping at ultra low temperatures. The damping is highest at the lowest temperatures of $\sim 110\: mK$ and decreases when warmed up-to $\sim 1\textrm{ }K$. We experimentally demonstrate for the first time a temperature dependent non-linear damping in a nano-mechanical system below 1 K. It is consistent with a predicted two phonon mediated non-linear Akhiezer scenario for ballistic phonons with mean free path comparable to the beam thickness. This opens up new possibilities to engineer non-linear phenomena at low temperatures.
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Non-Exponential Relaxation in the Rotating Frame of a Driven Nanomechanical Mode
In a strongly driven nanomechanical mode, ring-down in the rotating frame is non-exponential: the in-phase component initially decays at about twice the rate of the quadrature, as a Duffing model with a dominant second harmonic predicts.