Interplay of driving and frequency noise in the spectra of vibrational systems

Abstract

We study the spectral effect of the fluctuations of the vibration frequency. Such fluctuations play a major role in nanomechanical and other mesoscopic vibrational systems. We find that, for periodically driven systems, the interplay of the driving and frequency fluctuations results in specific spectral features. We present measurements on a carbon nanotube resonator and show that our theory allows not only the characterization of the frequency fluctuations but also the quantification of the decay rate without ring-down measurements. The results bear on identifying the decoherence of mesoscopic oscillators and on the general problem of resonance fluorescence and light scattering by oscillators.

In the revised version we extended the comparison of the theory and the experiment and shortened the discussion of nonlinear effects

References in corpus (3)

• A tunable carbon nanotube electromechanical oscillator
• Strong coupling between single-electron tunneling and nano-mechanical motion
• Frequency and phase noise of ultra-high Q silicon nitride nanomechanical resonators

Cited by in corpus (7)

• Quantum Decoherence
• Nanotube mechanical resonators with quality factors of up to 5 million
• Force sensitivity of multilayer graphene optomechanical devices
• Observation of decoherence in a carbon nanotube mechanical resonator
• Nonlinear damping and dephasing in nanomechanical systems
• Electro-Mechanical Transition in Quantum dots
• A Nonlinear Charge- and Flux-Tunable Cavity Derived from an Embedded Cooper Pair Transistor