Measurement of the quantum zero-point motion of a nanomechanical resonator

Abstract

We present optical sideband spectroscopy measurements of a mesoscopic mechanical oscillator cooled near its quantum ground state. The mechanical oscillator, corresponding to a 3.99GHz acoustic mode of a patterned silicon nanobeam, is coupled via radiation pressure to a pair of co-localized 200THz optical modes. The mechanical mode is cooled close to its quantum ground state from a bath temperature of 18K using radiation pressure back-action stemming from the optical pumping of one of the optical cavity resonances. An optical probe beam, resonant with the second optical cavity resonance, is used to transduce the mechanical motion and determine the phonon occupancy of the mechanical mode. Measurement of the asymmetry between up-converted and down-converted photons of the probe beam yields directly the displacement noise power associated with the quantum zero-point motion of the mechanical oscillator, and provides an absolute calibration of the average phonon occupancy of the mechanical mode.

6 pages, 4 figures

References in corpus (13)

• Laser cooling of a nanomechanical oscillator into its quantum ground state
• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Electromagnetically Induced Transparency and Slow Light with Optomechanics
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Quantum-coherent coupling of a mechanical oscillator to an optical cavity mode
• Opto-mechanical transducers for long-distance quantum communication
• Proposal for an Optomechanical Traveling Wave Phonon-Photon Translator
• Microwave amplification with nanomechanical resonators
• Slowing and stopping light using an optomechanical crystal array
• Realization of an optomechanical interface between ultracold atoms and a membrane
• The optomechanical instability in the quantum regime
• Ponderomotive light squeezing with atomic cavity optomechanics

Cited by in corpus (202)

• Cavity Optomechanics
• Motional Quantum Ground State of a Levitated Nanoparticle from Room Temperature
• Coherent coupling of molecular resonators with a micro-cavity mode
• Leggett-Garg Inequalities
• A short walk through quantum optomechanics
• Squeezing of quantum noise of motion in a micromechanical resonator
• Observation of Radiation Pressure Shot Noise on a Macroscopic Object
• Real-time optimal quantum control of mechanical motion at room temperature
• Quantum control of a nanoparticle optically levitated in cryogenic free space
• Cavity cooling of an optically levitated nanoparticle
• Modes and Mode Volumes of Leaky Optical Cavities and Plasmonic Nanoresonators
• Macroscopic Quantum Mechanics: Theory and Experimental Concepts of Optomechanics
• Microwave-to-optics conversion using a mechanical oscillator in its quantum groundstate
• Quantum Optomechanical Heat Engine
• Quantum nondemolition measurement of a nonclassical state of a massive object
• Laser cooling of a micromechanical membrane to the quantum backaction limit
• Controlling phonons and photons at the wavelength-scale: silicon photonics meets silicon phononics
• Observation of non-Markovian micro-mechanical Brownian motion
• Ultralow-Noise SiN Trampoline Resonators for Sensing and Optomechanics
• Electromagnetially-induced-transparency-like ground-state cooling in a double-cavity optomechanical system
• Coherent control of a nanomechanical two-level system
• Dissipation-driven two-mode mechanical squeezed states in optomechanical systems
• A general procedure for thermomechanical calibration of nano/micro-mechanical resonators
• Signatures of nonlinear cavity optomechanics in the weak coupling regime
• Probing deformed commutators with macroscopic harmonic oscillators
• Mechanically Detecting and Avoiding the Quantum Fluctuations of a Microwave Field
• Motional Sideband Asymmetry of a Nanoparticle Optically Levitated in Free Space
• Dissipative and Dispersive Optomechanics in a Nanocavity Torque Sensor
• A quantum memory at telecom wavelengths
• Heralded single phonon preparation, storage and readout in cavity optomechanics
• Enhancing optomechanical coupling via the Josephson effect
• Optomechanical sensing of spontaneous wave-function collapse
• Lithium Niobate Piezo-optomechanical Crystals
• Optically detecting the quantization of collective atomic motion
• Pulsed excitation dynamics of an optomechanical crystal resonator near its quantum ground-state of motion
• Brillouin Scattering Self-Cancellation
• Measuring the dynamic structure factor of a quantum gas undergoing a structural phase transition
• Laser noise in cavity-optomechanical cooling and thermometry
• Bulk crystalline optomechanics
• Tunable multiphonon blockade in coupled nanomechanical resonators
• Measurement of the motional sidebands of a nanogram-scale oscillator in the quantum regime
• Resolving the vacuum fluctuations of an optomechanical system using an artificial atom
• Levitated Nanoparticles for Microscopic Thermodynamics - A Review
• Acoustic confinement and Stimulated Brillouin Scattering in integrated optical waveguides
• Laser cooling of a nanomechanical oscillator to the zero-point energy
• Quantum limit of laser cooling in dispersively- and dissipatively-coupled optomechanical systems
• Multimode optomechanical dynamics in a cavity with avoided crossings
• Quantum State Orthogonalization and a Toolset for Quantum Optomechanical Phonon Control
• Extremely Low-Loss Acoustic Phonons in a Quartz Bulk Acoustic Wave Resonator at Millikelvin Temperature
• Optomechanical Raman-Ratio Thermometry
• Theory of an optomechanical quantum heat engine
• Two-dimensional quantum motion of a levitated nanosphere
• Unifying Brillouin scattering and cavity optomechanics
• Optomechanical ground-state cooling in a continuous and efficient electro-optic transducer
• Quantum back-action in measurements of zero-point mechanical oscillations
• Optical Backaction-Evading Measurement of a Mechanical Oscillator
• Quantum-enhanced micro-mechanical displacement sensitivity
• Observation and interpretation of motional sideband asymmetry in a quantum electro-mechanical device
• Single crystal diamond nanobeam waveguide optomechanics
• Scalable quantum simulation of pulsed entanglement and Einstein-Podolsky-Rosen steering in optomechanics
• Complex Squeezing and Force Measurement Beyond the Standard Quantum Limit
• Nonlinear optomechanics in the stationary regime
• Macroscopic tunneling of a membrane in an optomechanical double-well potential
• Nanoscale Torsional Optomechanics
• Squeezing a thermal mechanical oscillator by stabilized parametric effect on the optical spring
• Improving broadband displacement detection with quantum correlations
• Tunable coupling to a mechanical oscillator circuit using a coherent feedback network
• Cooling a Mechanical Resonator with a Nitrogen-Vacancy Center Ensemble Using a Room Temperature Excited State Spin-Strain Interaction
• Quantum transition-edge detectors
• Radiation Pressure Cooling as a Quantum Dynamical Process
• Enhanced precision bound of low-temperature quantum thermometry via dynamical control
• Appearance and disappearance of quantum correlations in measurement-based feedback control of a mechanical oscillator
• Cooling in the single-photon strong-coupling regime of cavity optomechanics
• Collectively-enhanced optomechanical coupling in periodic arrays of scatterers
• Detecting macroscopic quantum coherence with a cavity optomechanical system
• Quantum resources for purification and cooling: fundamental limits and opportunities
• Classical and fluctuation-induced electromagnetic interactions in micronscale systems: designer bonding, antibonding, and Casimir forces
• Hybrid optomechanical cooling by atomic $\Lambda$ systems
• Dynamics of levitated nanospheres: towards the strong coupling regime
• Measurements of nanoresonator-qubit interactions in a hybrid quantum electromechanical system
• Optomechanical measurement of photon spin angular momentum and optical torque in integrated photonic devices
• Multimode strong-coupling quantum optomechanics
• Vibrational cooling and thermoelectric response of nanoelectromechanical systems
• Quantum optomechanics in a liquid
• A macro-realism inequality for opto-electro-mechanical systems
• Cavity optomechanics in gallium phosphide microdisks
• Generation of cluster states in optomechanical quantum systems
• Phase control of entanglement and quantum steering in a three-mode optomechanical system
• Pulsed entanglement of two optomechanical oscillators
• Phonon-mediated population inversion in a semiconductor quantum-dot cavity system
• Multipartite optomechanical entanglement from competing nonlinearities
• Radiative cooling of a superconducting resonator
• Optically mediated nonlinear quantum optomechanics
• Quantum mechanical study of a generic quadratically coupled optomechanical system
• Quantum Heating of a nonlinear resonator probed by a superconducting qubit
• Multimode Optomechanics as a Prototype of Mediated Interactions
• Open quantum dynamics of single-photon optomechanical devices
• Entanglement between nitrogen vacancy spins in diamond controlled by a nanomechanical resonator
• Fully Quantum Approach to Optomechanical Entanglement
• Ground state cooling of micromechanical oscillators in the unresolved sideband regime induced by a quantum well
• Nonsymmetrized Correlations in Quantum Noninvasive Measurements
• Light scattering in an optomechanical cavity coupled to a single atom
• Oscillator tunneling dynamics in the Rabi model
• Optomechanical generation of a mechanical catlike state by phonon subtraction
• Gallium phosphide as a piezoelectric platform for quantum optomechanics
• Breaking optomechanical cooling limit by two drive fields on a membrane-in-middle system
• 5-mg suspended mirror driven by measurement-induced back-action
• Brillouin Optomechanics in Coupled Silicon Microcavities
• Cavity-assisted measurement and coherent control of collective atomic spin oscillators
• Parametric Feedback Cooling of Rigid Body Nanodumbbells in Levitated Optomechanics
• An integrated source of broadband quadrature squeezed light
• Phonon Quantum Nondemolition Measurements in Nonlinearly Coupled Optomechanical Cavities
• Detection of weak forces based on noise-activated switching in bistable optomechanical systems
• Quantum signature of a squeezed mechanical oscillator
• Heterodyne photodetection measurements on cavity optomechanical systems: Interpretation of sideband asymmetry and limits to a classical explanation
• Sensitivity, quantum limits, and quantum enhancement of noise spectroscopies
• Quantum magnetometry using two-stroke thermal machines
• Split-sideband spectroscopy in slowly modulated optomechanics
• Engineering phonon leakage in nanomechanical resonators
• Quantum collective motion of macroscopic mechanical oscillators
• Entanglement of nanoelectromechanical oscillators by Cooper-pair tunneling
• Robust continuous-variable entanglement of microwave photons with cavity electromechanics
• Floquet dynamics in quantum measurement of mechanical motion
• Nanoscale electromechanics to measure thermal conductivity, expansion and interfacial losses
• Stochastic Path Integral Analysis of the Continuously Monitored Quantum Harmonic Oscillator
• Recent Advances in Mechanical Torque Studies of Small-scale Magnetism
• Single phonon source based on a giant acoustic nonlinear effect
• Generation of coherence in an exactly solvable nonlinear nanomechanical system
• Control of vibrational states by spin-polarized transport in a carbon nanotube resonator
• Nonlinear Power Spectral Densities for the Harmonic Oscillator
• Dissipative Quantum Feedback in Measurements Using a Parametrically Coupled Microcavity
• Quantum coherence, radiance, and resistance of gravitational systems
• Calibrated quantum thermometry in cavity optomechanics
• Interacting classical and quantum particles
• Simple High-Bandwidth Sideband Locking with Heterodyne Readout
• Imaging correlations in heterodyne-detected spectra for quantum sensing
• Accurate modeling and characterization of photothermal forces in optomechanics
• Probing quantum gravity effects with quantum mechanical oscillators
• Preparing ground states and squeezed states of nanomechanical cantilevers by fast dissipation
• Active-feedback quantum control of an integrated low-frequency mechanical resonator
• Noise suppression of on-chip mechanical resonators by chaotic coherent feedback
• Testing quantum mechanics: a statistical approach
• Measurements of a quantum bulk acoustic resonator using a superconducting qubit
• Quantum optomechanics with a high-frequency dilational mode in thin dielectric membranes
• Coupling of Light and Mechanics in a Photonic Crystal Waveguide
• Inhomogeneous mechanical losses in micro-oscillators with high reflectivity coating
• Coupling of ultrathin tapered fibers with high-Q microsphere resonators at cryogenic temperatures and observation of phase-shift transition from undercoupling to overcoupling
• Squeezing-enhanced measurement sensitivity in a cavity optomechanical system
• Nanomechanical read-out of a single spin
• Optical drive of macroscopic mechanical motion by a single two-level system
• Tests of Quantum Gravity-Induced Non-Locality: Hamiltonian formulation of a non-local harmonic oscillator
• Dynamic stabilization of an optomechanical oscillator
• Enhanced Optomechanical Levitation of Minimally Supported Dielectrics
• Highly efficient cooling of mechanical resonator with square pulse drives
• Phase Conjugation in Quantum Optomechanics
• A two-dimensional optomechanical crystal for quantum transduction
• Improved constraints on minimum length models with a macroscopic low loss phonon cavity
• General quantum constraints on detector noise in continuous linear measurements
• Response of a mechanical oscillator in an optomechanical cavity driven by a finite bandwidth squeezed vacuum excitation
• Quantum correlations among optical and vibrational quanta
• Optomechanics with a polarization non-degenerate cavity
• Detecting modified vacuum fluctuations due to presence of a boundary by means of the geometric phase
• Quantum motion of a squeezed mechanical oscillator attained via a optomechanical experiment
• Quantum optomechanical control of long-lived bulk acoustic phonons
• Enhancement of Opto-Electro-Mechanical Entanglement through Three-Level Atoms
• Quantum noise properties of multiphoton transitions in driven nonlinear resonators
• Teleportation-induced entanglement of two nanomechanical oscillators coupled to a topological superconductor
• Optically Defined Mechanical Geometry
• Optical squeezing for an optomechanical system without quantising the mechanical motion
• Arbitrary multimode Gaussian operations on mechanical cluster states
• Observation of Optomechanical Quantum Correlations at Room Temperature
• Determination of Low Loss in Isotopically Pure Single Crystal ${}^{28}$Si at Low Temperatures and Single Microwave Photon Energy
• Microwave single-tone optomechanics in the classical regime
• Dynamics of coupled vibration modes in a quantum non-linear mechanical resonator
• Nonclassical photon statistics in two-tone continuously driven optomechanics
• Quantum optomechanics with a mixture of ultracold atoms
• Hybrid quantum-classical chaotic NEMS
• Statistical investigation and thermal properties for a 1-D impact system with dissipation
• Strong quantum entanglement via a controllable four wave mixing mechanism in an optomechanical system
• Macroscopic quantum oscillator based on a flux qubit
• Quantum simulation of a three-mode optomechanical system based on the Fredkin-type interaction
• Corrections to the Optomechanical Hamiltonian from Quadratic Fluctuations of a Moving Mirror
• Multistability of a Josephson parametric amplifier coupled to a mechanical resonator
• Opto-mechanical effects in self-organization of a Bose-Einstein condensate in an optical cavity
• Multimode optomechanical system in the quantum regime
• Antiresonant quantum transport in ac driven molecular nanojunctions
• Intrinsic Kerr amplification for microwave electromechanics
• Optomechanical sideband asymmetry explained by stochastic electrodynamics
• Phase-space behavior and conditional dynamics of an optomechanical system
• Roto-translational optomechanics
• Spectral Analysis of Quantum Field Fluctuations in a Strongly Coupled Optomechanical System
• Scrambling and quantum feedback in a nanomechanical system
• Long-time correlated quantum dynamics of phonon cooling
• Stochastic Langevin propagation for classical and quantum optomechanics
• Dicke-Hepp-Lieb Superradiant Phase Transition and Independent Modes Model in Quantum Optomechanics
• Optomechanics for quantum technologies
• Optical signatures of quantum skyrmions
• The Schrödinger equation, the zero-point electromagnetic radiation and the photoelectric effect
• Highly-coherent stimulated phonon oscillations in a multi-core optical fiber
• Optical force acting on strongly driven atoms in free space or modified reservoirs
• Enhanced Cavity Optomechanics with Quantum-well Exciton Polaritons
• CDJ-Pontryagin Optimal Control for General Continuously Monitored Quantum Systems