Quantum noise in a nano mechanical Duffing resonator

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.

submitted to the Focus Issue on 'Mechanical Systems at the Quantum Limit', edited by Markus Aspelmeyer and Keith Schwab

References in corpus (10)

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• Nanomechanical resonators operating as charge detectors in the nonlinear regime
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• Enhancement of parameter estimation by Kerr interaction
• Quantum interference and sub-Poissonian statistics for time-modulated driven dissipative nonlinear oscillator
• Parametric amplification with weak-link nonlinearity in superconducting microresonators
• Cool for Cats
• Phonon antibunching effect in coupled nonlinear micro/nanomechanical resonator at finite temperature
• Nonlinear cross-Kerr quasiclassical dynamics
• Quantum entanglement between a nonlinear nanomechanical resonator and a microwave field
• Nonlinear spectroscopy of superconducting anharmonic resonators
• Novel hermetically sealed device to realize unconventional phonon blockade at near-micron dimensions and milli Kelvin temperatures
• Quantum dissipative dynamics of driven Duffing oscillator near attractors