Classical to Quantum Transition of a Driven Nonlinear Nanomechanical Resonator

Abstract

We seek the first indications that a nanoelectromechanical system (NEMS) is entering the quantum domain as its mass and temperature are decreased. We find them by studying the transition from classical to quantum behavior of a driven nonlinear Duffing resonator. Numerical solutions of the equations of motion, operating in the bistable regime of the resonator, demonstrate that the quantum Wigner function gradually deviates from the corresponding classical phase-space probability density. These clear differences that develop due to nonlinearity can serve as experimental evidence, in the near future, that NEMS resonators are entering the quantum domain.

References in corpus (2)

• A tunable carbon nanotube electromechanical oscillator
• Cooling a nanomechanical resonator with quantum back-action

Cited by in corpus (4)

• Intrinsic localized modes in parametrically-driven arrays of nonlinear resonators
• Surface dissipation in nanoelectromechanical systems: Unified description with the standard tunneling model and effects of metallic electrodes
• Classical to quantum transition of a driven nonlinear nanomechanical resonator
• Rabi-like oscillations of an anharmonic oscillator: classical versus quantum interpretation