Macroscopic quantum effects in a strongly driven nanomechanical resonator

Abstract

We investigate the nonlinear response of a vibrating suspended nanomechanical beam on external periodic driving. The amplitude of the fundamental transverse mode behaves thereby like a weakly damped quantum particle in a driven anharmonic potential. Upon using a Born-Markovian master equation, we calculate the fundamental mode amplitude for varying driving frequencies. In the nonlinear regime, we observe resonances which are absent in the corresponding classical model. They are shown to be associated with resonant multi-phonon excitations. Furthermore, we identify resonant tunneling in a dynamically induced bistable effective potential.

5 pages, replaced with the published version

References in corpus (6)

• Nondestructive readout for a superconducting flux qubit
• Mechanical Mixing in Nonlinear Nanomechanical Resonators
• Intrinsic thermal vibrations of suspended doubly clamped single-wall carbon nanotubes
• Nanomechanical resonators operating as charge detectors in the nonlinear regime
• Quantum Effects in the Mechanical Properties of Suspended Nanomechanical Systems
• Macroscopic quantum effects in nanomechanical systems

Cited by in corpus (31)

• Mechanical systems in the quantum regime
• Basins of attraction of a nonlinear nanomechanical resonator
• Classical to Quantum Transition of a Driven Nonlinear Nanomechanical Resonator
• Evidence for Quantized Displacement in Macroscopic Nanomechanical Oscillators
• Amplitude Noise Squeezing in Cavity-Driven Oscillations of a Mechanical Resonator
• Macroscopic tunneling of a membrane in an optomechanical double-well potential
• Nonlinear response of a driven vibrating nanobeam in the quantum regime
• Classical to quantum transition of a driven nonlinear nanomechanical resonator
• Dynamics of the quantum Duffing oscillator in the driving induced bistable regime
• Multiphoton antiresonance
• Quantum electromechanics: Quantum tunneling near resonance and qubits from buckling nanobars
• Dynamical bistability in the driven circuit QED
• Quasienergy description of the driven Jaynes-Cummings model
• Emission spectrum of the driven nonlinear oscillator
• Distinguishing quantum from classical oscillations in a driven phase qubit
• Generating Giant and Tunable Nonlinearity in a Macroscopic Mechanical Resonator from Chemical Bonding Force
• Measurement-based cooling of a nonlinear mechanical resonator
• Sharp tunneling peaks in a parametric oscillator: quantum resonances missing in the rotating wave approximation
• Resonators coupled to voltage-biased Josephson junctions: From linear response to strongly driven nonlinear oscillations
• Signatures of chaotic and non-chaotic-like behaviour in a non-linear quantum oscillator through photon detection
• Quantum critical temperature of a modulated oscillator
• Dynamic Quantum Tunneling in Mesoscopic Driven Duffing Oscillators
• The dissipative quantum Duffing oscillator: a comparison of Floquet-based approaches
• Hole burning in a nanomechanical resonator coupled to a Cooper pair box
• Dissipative dynamics of a qubit coupled to a nonlinear oscillator
• Quantum noise properties of multiphoton transitions in driven nonlinear resonators
• Photon-phonon parametric oscillation induced by the quadratic coupling in an optomechanical resonator
• Experimental signatures of the quantum-classical transition in a nanomechanical oscillator modeled as a damped driven double-well problem
• Classical and quantum dissipative dynamics in Josephson junctions: an Arnold problem, bifurcation and capture into resonance
• Qubit state detection using the quantum Duffing oscillator
• Antiresonant quantum transport in ac driven molecular nanojunctions