Interplay of driving and frequency noise in the spectra of vibrational systems
arXiv:1406.1406 · doi:10.1103/PhysRevLett.113.255502
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.
arXiv commentIn the revised version we extended the comparison of the theory and the experiment and shortened the discussion of nonlinear effects
References in corpus (14)
- Thermal transport measurements of individual multiwalled nanotubes
- A tunable carbon nanotube electromechanical oscillator
- Ultrasensitive force detection with a nanotube mechanical resonator
- Strong coupling between single-electron tunneling and nano-mechanical motion
- Noise Properties of Superconducting Coplanar Waveguide Microwave Resonators
- Evidence for interacting two-level systems from the 1/f noise of a superconducting resonator
- Quantum Measurement of Phonon Shot Noise
- Entropic Spectral Broadening in Carbon Nanotube Resonators
- Stabilization of a linear nanomechanical oscillator to its ultimate thermodynamic limit
- Frequency and phase noise of ultra-high Q silicon nitride nanomechanical resonators
- Symmetry breaking in a mechanical resonator made from a carbon nanotube
- Fluctuations From Edge Defects in Superconducting Resonators
- Spectrum of an oscillator with jumping frequency and the interference of partial susceptibilities
- Detecting and characterizing frequency fluctuations of vibrational modes
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