Reconstructing nonlinearities with intermodulation spectroscopy
arXiv:0911.2826 · doi:10.1103/PhysRevLett.104.050801
Abstract
We describe a method of analysis which allows for reconstructing the nonlinear disturbance of a high Q harmonic oscillator. When the oscillator is driven with two or more frequencies, the nonlinearity causes intermodulation of the drives, resulting in a complicated spectral response. Analysis of this spectrum allows one to approximate the nonlinearity. The method, which is generally applicable to measurements based on resonant detection, increases the information content of the measurement without requiring large detection bandwidth, and optimally uses the enhanced sensitivity near resonance to extract information and minimize error due to detector noise.
4 pages, 3 figures
References in corpus (6)
- Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
- Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
- The Band Excitation Method in Scanning Probe Microscopy for Rapid Mapping of Energy Dissipation on the Nanoscale
- Nonlinearities and Parametric Amplification in Superconducting Coplanar Waveguide Resonators
- Parametric amplification with weak-link nonlinearity in superconducting microresonators
- Phase sensitive amplification in a superconducting stripline resonator integrated with a dc-SQUID
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- Intermodulation in Nonlinear SQUID Metamaterials: Experiment and Theory
- Dynamic Calibration of Higher Eigenmode Parameters of a Cantilever in Atomic Force Microscopy Using Tip-Surface Interactions
- Kerr nonlinearity and parametric amplification with an Al-InAs superconductor-semiconductor Josephson junction
- Quantitative Formulation of Frequency-Dependent Average Force in AM-AFM
- Tuning of Strong Nonlinearity in rf SQUID Meta-Atoms
- Intermodulation spectroscopy and the nonlinear response of two-level systems in superconducting coplanar waveguide resonators
- Effect of material stiffness on intermodulation response in dynamic atomic force microscopy