Mesoscopic physics of nanomechanical systems

Abstract

Nanomechanics has brought mesoscopic physics into the world of vibrations. Because nanomechanical systems are small, fluctuations are significant, the vibrations become nonlinear already for comparatively small amplitudes, and new mechanisms of dissipation come into play. At the same time, the exquisite control of these systems makes them a platform for studying many problems of classical and quantum physics far from thermal equilibrium in a well-characterized setting. This review describes, at a conceptual level, basic theoretical ideas and explicative experiments pertaining to mesoscopic physics of nanomechanical systems. Major applications of nanomechanics in science and technology are also outlined. A broad range of phenomena related to the conservative as well as dissipative nonlinearity and fluctuations are discussed within a unifying framework. They include the linear response of single and coupled vibrational modes as well as nonlinear effects of periodic driving. Such driving breaks the continuous time-translation symmetry and the detailed balance, with conspicuous consequences for fluctuations, particularly in the presence of the driving-induced bi- and multistability. Mathematical techniques are described in the appendices to streamline the reading, but also to provide an introduction to the theory. The goal of the review is to show the richness of the physics at work. The continuous experimental and theoretical advances make nanomechanical systems a vibrant area of research, with many new phenomena to discover.

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• On-chip phononic time lens
• Ultrasensitive nano-optomechanical force sensor at dilution temperatures
• Motion control and optical interrogation of a levitating single NV in vacuum
• Ground State Cooling of an Ultracoherent Electromechanical System
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• Nuclear magnetic resonance force microscopy with a microwire rf source
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• Nanoladder cantilevers made from diamond and silicon
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• Demonstration of an Unusual Thermal Effect in the Casimir Force from Graphene
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• Dynamics and Dissipation induced by Single-Electron Tunneling in Carbon Nanotube Nanoelectromechanical Systems
• Mass sensing for the advanced fabrication of nanomechanical resonators
• Resonant optomechanics with a vibrating carbon nanotube and a radio-frequency cavity
• Multiple-period Floquet states and time-translation symmetry breaking in quantum oscillators
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• Nonlinear damping and dephasing in nanomechanical systems
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• Two-Level System Damping in a Quasi-One-Dimensional Optomechanical Resonator
• Laser-like Instabilities in Quantum Nano-electromechanical Systems
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• Strongly coupled modes in a weakly driven micromechanical resonator
• Magnetic force sensing using a self-assembled nanowire
• On-chip thermometry for microwave optomechanics implemented in a nuclear demagnetization cryostat
• High-Resolution Nanoscale Solid-State Nuclear Magnetic Resonance Spectroscopy
• Supernarrow spectral peaks near a kinetic phase transition in a driven, nonlinear micromechanical oscillator
• Coupling between quantum Hall state and electromechanics in suspended graphene resonator
• Dynamical Backaction Cooling with Free Electrons
• Understanding Fundamental Tradeoffs in Nanomechanical Resonant Sensors
• Non-linear Frequency Transduction of Nano-mechanical Brownian Motion
• Phonon-phonon interactions and phonon damping in carbon nanotubes
• Diffusion-induced dephasing in nanomechanical resonators
• Strong negative nonlinear friction from induced two-phonon processes in vibrational systems
• Landauer's erasure principle in a squeezed thermal memory
• Classical non-Gaussian state preparation through squeezing in an opto-electromechanical resonator
• Anharmonic effects on a phonon number measurement of a quantum mesoscopic mechanical oscillator
• Layering transitions in superfluid helium adsorbed on a carbon nanotube mechanical resonator
• Critical fluctuations and the rates of interstate switching near excitation threshold of a quantum parametric oscillator
• Modelling and observation of nonlinear damping in dissipation-diluted nanomechanical resonators
• Multimode internal resonances in a MEMS self-sustained oscillator
• Nanomechanical characterization of the Kondo charge dynamics in a carbon nanotube
• Resonantly induced friction in driven nanomechanical systems
• Atomic monolayer deposition on the surface of nanotube mechanical resonators
• Nonequilibrium dynamics induced by scattering forces for optically trapped nanoparticles in strongly inertial regimes
• Fluctuation-enhanced frequency mixing in a nonlinear micromechanical oscillator
• Dimensional transformation of defect-induced noise, dissipation, and nonlinearity
• Eigenmode orthogonality breaking and deviation from the fluctuation dissipation relation in rotationally dressed nanomechanical oscillators
• Ultra-low dissipation patterned silicon nanowire arrays for scanning probe microscopy
• Switching path distribution in multi-dimensional systems
• Detecting and characterizing frequency fluctuations of vibrational modes
• Scaling laws for the bifurcation-escape rate in a nanomechanical resonator
• Quantum state preparation for coupled period tripling oscillators
• Evidence for the role of normal-state electrons in nanoelectromechanical damping mechanisms at very low temperatures
• Nanomechanical characterization of quantum interference in a topological insulator nanowire
• High-Q silicon nitride drum resonators strongly coupled to gates
• Design of tunable GHz-frequency optomechanical crystal resonators
• Nanoscale electromechanics to measure thermal conductivity, expansion and interfacial losses
• Nanoscale Real-Time Detection of Quantum Vortices at Millikelvin Temperatures
• Study of charge density waves in suspended 2H-TaS2 and 2H-TaSe2 by nanomechanical resonance
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• Spectral effects of dispersive mode coupling in driven mesoscopic systems
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• Strong Thermo-mechanical Squeezing in a far detuned Membrane-in-the-middle System
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• Phase synchronization in coupled bistable oscillators
• Amplification and spectral evidence of squeezing in the response of a strongly driven nanoresonator to a probe field
• Interrelation of elasticity and thermal bath in nanotube cantilevers
• Phase noise of oscillators with unsaturated amplifiers
• Suppressing Frequency Fluctuations of Self-Sustained Vibrations in Underdamped Nonlinear Resonators
• Superconducting vortex-charge measurement using cavity electromechanics
• Damping of a micro-electromechanical oscillator in turbulent superfluid ${}^4$He: A novel probe of quantized vorticity in the ultra-low temperature regime
• Negative frequency tuning of a carbon nanotube nano-electromechanical resonator
• Detecting the "phonon wind" in superfluid ${}^4\mathrm{He}$ by a nanomechanical resonator
• Generation and propagation of topological solitons in a chain of coupled parametric-micromechanical-resonator arrays
• Shot noise limited nanomechanical detection and radiation pressure backaction from an electron beam
• Damping of mechanical vibrations by free electrons in metallic nanoresonators
• Telegraph frequency noise in electromechanical resonators
• Squeezed-light interferometry on a cryogenically-cooled micro-mechanical membrane
• Dimensional control of tunneling two level systems in nanoelectromechanical resonators
• Strong vibration nonlinearity in semiconductor-based nanomechanical systems
• Optically probing Schwinger angular momenta in a micromechanical resonator
• Effect of internal resonance on the dynamics of MoS2 resonator
• Improving the read-out of the resonance frequency of nanotube mechanical resonators
• Determining the source of phase noise: Response of a driven Duffing oscillator to low-frequency damping and resonance frequency fluctuations

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