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Nonlinear frequency transduction of nanomechanical Brownian motion

2017; American Physical Society; Volume: 96; Issue: 16 Linguagem: Inglês

10.1103/physrevb.96.165434

2469-9977

Olivier Maillet, Xin Zhou, R. R. Gazizulin, Ana Maldonado Cid, Martial Defoort, Olivier Bourgeois, Eddy Collin,

Photonic and Optical Devices

We report on experiments addressing the non-linear interaction between a nano-mechanical mode and position fluctuations. The Duffing non-linearity transduces the Brownian motion of the mode, and of other non-linearly coupled ones, into frequency noise. This mechanism, ubiquitous to all weakly-nonlinear resonators thermalized to a bath, results in a phase diffusion process altering the motion: two limit behaviors appear, analogous to motional narrowing and inhomogeneous broadening in NMR. Their crossover is found to depend non-trivially on the ratio of the frequency noise correlation time to its magnitude. Our measurements obtained over an unprecedented range covering the two limits match the theory of Y. Zhang and M. I. Dykman, Phys. Rev. B 92, 165419 (2015), with no free parameters. We finally discuss the fundamental bound on frequency resolution set by this mechanism, which is not marginal for bottom-up nanostructures.