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Phys Rev Lett. 2005 Apr 22;94(15):156403. Epub 2005 Apr 19.

Noise-enabled precision measurements of a duffing nanomechanical resonator.

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1
Department of Physics, University of California at Santa Barbara, Santa Barbara, California 93106, USA.

Abstract

We report quantitative measurements of the nonlinear response of a radio frequency mechanical resonator with a very high quality factor. We measure the noise-free transitions between the two basins of attraction that appear in the nonlinear regime, and find good agreement with theory. We measure the transition rate response to controlled levels of white noise, and extract the basin activation energy. This allows us to obtain precise values for the relevant frequencies and the cubic nonlinearity in the Duffing oscillator, with applications to parametric sensing.

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