Quantum noise in a nano mechanical Duffing resonator
E. Babourina-Brooks, A. Doherty, G. J. Milburn

TL;DR
This paper investigates the quantum noise characteristics and small signal gain of a nonlinear nanomechanical resonator used as an amplifier, focusing on its response to detuned signals in the quantum regime.
Contribution
It provides a detailed analysis of quantum noise and gain in a nonlinear quantum nanomechanical resonator operating in the nonlinear regime.
Findings
Quantifies the small signal gain in the nonlinear quantum regime
Analyzes the noise response of the resonator as an amplifier
Identifies conditions for optimal amplification and noise performance
Abstract
We determine the small signal gain and noise response of an amplifier based on the nonlinear response of a quantum nanomechanical resonator. The resonator is biased in the nonlinear regime by a strong harmonic bias force and we determine the response to a small additional driving signal detuned with respect to the bias force.
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