Strong and tunable mode coupling in carbon nanotube resonators

Abstract

The non-linear interaction between two mechanical resonances of the same freely suspended carbon nanotube resonator is studied. We find that in the Coulomb blockade regime, the non-linear modal interaction is dominated by single-electron-tunneling processes, and that the mode-coupling parameter can be tuned with the gate voltage, allowing both mode softening and mode stiffening behavior. This is in striking contrast to tension-induced mode coupling in strings, where the coupling parameter is positive and gives rise to a stiffening of the mode. The strength of the mode coupling in carbon nanotubes in the Coulomb blockade regime is observed to be six orders of magnitude larger than the mechanical mode coupling in micromechanical resonators.

8 pages, 4 figures

References in corpus (18)

• A tunable carbon nanotube electromechanical oscillator
• An Atomic-resolution nanomechanical mass sensor
• A Mechanical Mass Sensor with Yoctogram Resolution
• Cooling a nanomechanical resonator with quantum back-action
• Mechanical systems in the quantum regime
• Strong coupling between single-electron tunneling and nano-mechanical motion
• Carbon nanotubes as ultra-high quality factor mechanical resonators
• Nonlinear modal interactions in clamped-clamped mechanical resonators
• Mechanical detection of carbon nanotube resonator vibrations
• Classical dynamics of a nano-mechanical resonator coupled to a single-electron transistor
• Non-adiabatic dynamics of two strongly coupled nanomechanical resonator modes
• A Quantum Non-demolition measurement of Fock states of mesoscopic mechanical oscillators
• Q-factor control of a microcantilever by mechanical sideband excitation
• Entropic Spectral Broadening in Carbon Nanotube Resonators
• High-frequency nanotube mechanical resonators
• Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator
• Interactions between directly and parametrically driven vibration modes in a micromechanical resonator
• Exploiting Kerr Cross Non-linearity in Circuit Quantum Electrodynamics for Non-demolition Measurements

Cited by in corpus (28)

• Dynamical strong coupling and parametric amplification in mechanical modes of graphene drums
• Nanomechanical Resonators: Toward Atomic Scale
• Mesoscopic physics of nanomechanical systems
• Strong indirect coupling between graphene-based mechanical resonators via a phonon cavity
• Strongly-coupled nanotube electromechanical resonators
• Probing the charge of a quantum dot with a nanomechanical resonator
• Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator
• Observation of decoherence in a carbon nanotube mechanical resonator
• Time-domain response of atomically thin $\mathrm{Mo}{\mathrm{S}}_2$ nanomechanical resonators
• Coherent phonon Rabi oscillations with a high frequency carbon nanotube phonon cavity
• Entangled-state generation and Bell inequality violations in nanomechanical resonators
• Strongly coupled modes in a weakly driven micromechanical resonator
• Quantum correlation enhanced weak field detection in optomechanical system
• Ultrastrong coupling between electron tunneling and mechanical motion
• Spectral effects of dispersive mode coupling in driven mesoscopic systems
• Wide bandwidth nanowire electromechanics on insulating substrates at room temperature
• Magnetic effects on nonlinear mechanical properties of a suspended carbon nanotube
• Amplification and spectral evidence of squeezing in the response of a strongly driven nanoresonator to a probe field
• Mechanically induced spin resonance in a carbon nanotube
• Tension-induced non-linearities of flexural modes in nanomechanical resonators
• Measuring carbon nanotube vibrations using a single-electron transistor as a fast linear amplifier
• Submicrosecond-timescale readout of carbon nanotube mechanical motion
• Modal "self-coupling" as a sensitive probe for nanomechanical detection
• Transient dynamics of an adiabatic NEMS
• Tension mediated nonlinear coupling between orthogonal mechanical modes of nanowire resonators
• Effect of internal resonance on the dynamics of MoS2 resonator
• Controlled assembly of graphene sheets and nanotubes: fabrication of suspended multi-element all-carbon vibrational structures
• Weak force sensing based on optical parametric amplification in a cavity optomechanical system coupled in series with two oscillators