Abstract
We derive the displacement noise spectrum of a parametrically pumped resonator below the onset for self-excited oscillations. We extend the fluctuation-dissipation response of a thermomechanical-noise-driven resonator to the case of degenerate parametric pumping as a function of pump magnitude and frequency while properly accounting for the quadrature-dependence of the parametric thermal noise squeezing. We use measurements with a microelectromechanical cantilever to corroborate our model.
Highlights
We extend the fluctuation-dissipation response of a thermomechanical-noise-driven resonator to the case of degenerate parametric pumping as a function of pump magnitude and frequency while properly accounting for the quadrature-dependence of the parametric thermal noise squeezing
Parametric amplification of spin-wave modes can be achieved by pumping with electromagnetic fields at appropriate frequencies.[18,19,20,21]
Parametric amplification of microwave or optical resonators is useful for signal amplifiers[22,23,24,25,26,27] and quantum information processors,[28,29,30] and non-degenerate parametric amplification involving coupled modes is useful for microwave-optical frequency converters.[31–34]
Summary
Parametric amplification of spin-wave modes can be achieved by pumping with electromagnetic fields at appropriate frequencies.[18,19,20,21] Parametric amplification of microwave or optical resonators is useful for signal amplifiers[22,23,24,25,26,27] and quantum information processors,[28,29,30] and non-degenerate parametric amplification involving coupled modes is useful for microwave-optical frequency converters.[31–34]. We derive the displacement noise spectrum of a parametrically pumped resonator below the onset for self-excited oscillations.
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