Non-linear optomechanical measurement of mechanical motion

Abstract

Precision measurement of non-linear observables is an important goal in all facets of quantum optics. This allows measurement-based non-classical state preparation, which has been applied to great success in various physical systems, and provides a route for quantum information processing with otherwise linear interactions. In cavity optomechanics much progress has been made using linear interactions and measurement, but observation of non-linear mechanical degrees-of-freedom remains outstanding. Here we report the observation of displacement-squared thermal motion of a micro-mechanical resonator by exploiting the intrinsic non-linearity of the radiation pressure interaction. Using this measurement we generate bimodal mechanical states of motion with separations and feature sizes well below 100~pm. Future improvements to this approach will allow the preparation of quantum superposition states, which can be used to experimentally explore collapse models of the wavefunction and the potential for mechanical-resonator-based quantum information and metrology applications.

8 pages, 4 figures, extensive supplementary material available with published version

References in corpus (10)

• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
• Reconstruction of non-classical cavity field states with snapshots of their decoherence
• Cavity Opto-Mechanics with a Bose-Einstein Condensate
• Millikelvin cooling of an optically trapped microsphere in vacuum
• Quantum back-action of variable-strength measurement
• Single-photon cavity optomechanics mediated by a quantum two-level system
• Creating and Verifying a Quantum Superposition in a Micro-optomechanical System
• Standard Quantum Limit for Probing Mechanical Energy Quantization
• Engineering Superposition States and Tailored Probes for Nano-resonators Via Open-Loop Control

Cited by in corpus (73)

• Nonlinear cavity optomechanics with nanomechanical thermal fluctuations
• Nonlinear dynamics and millikelvin cavity-cooling of levitated nanoparticles
• On-chip quantum interference of a superconducting microsphere
• Position-squared coupling in a tunable photonic crystal optomechanical cavity
• Nonreciprocal photon blockade via quadratic optomechanical coupling
• Theory of Quantum Acoustomagnonics and Acoustomechanics with a Micromagnet
• Quantum sensing with nanoparticles for gravimetry; when bigger is better
• Quantum Acoustomechanics with a Micromagnet
• Quantum probes for the characterization of nonlinear media
• Nonclassical energy squeezing of a macroscopic mechanical oscillator
• Cross-correlation between photons and phonons in quadratically coupled optomechanical systems
• Optically induced phonon blockade in an optomechanical system with second-order nonlinearity
• Enhanced weak force sensing through atom-based coherent noise cancellation in a hybrid cavity optomechanical system
• Enhanced nonlinear optomechanics in a coupled-mode photonic crystal device
• Enhanced weak force sensing based on atom-based coherent quantum noise cancellation in a hybrid cavity optomechanical system
• Nonlinear optomechanical paddle nanocavities
• Mechanical squeezing via fast continuous measurement
• Unconditional preparation of nonclassical states via linear-and-quadratic optomechanics
• A Quantum Optomechanical Interface Beyond the Resolved Sideband Limit
• Quantum backaction and noise interference in asymmetric two-cavity optomechanical systems
• Reaching for the quantum limits in the simultaneous estimation of phase and phase diffusion
• Growing macroscopic superposition states via cavity quantum optomechanics
• Optomechanical Synchronization across Multi-Octaves Frequency Spans
• State preparation and tomography of a nanomechanical resonator with fast light pulses
• Effect of oxygen plasma on nanomechanical silicon nitride resonators
• Design of an optomagnonic crystal: towards optimal magnon-photon mode matching at the microscale
• Linear-and-quadratic reservoir engineering of non-Gaussian states
• Thermal intermodulation noise in cavity-based measurements
• Microphotonic Forces From Superfluid Flow
• Squeezing-enhanced quantum sensing with quadratic optomechanics
• Two-mode Schrödinger-cat states with nonlinear optomechanics: generation and verification of non-Gaussian mechanical entanglement
• Master-equation treatment of nonlinear optomechanical systems with optical loss
• Nonlinear Sideband Cooling to a Cat State of Motion
• Optomechanically induced transparency of x-rays via optical control
• Fisher-information-based estimation of optomechanical coupling strengths
• Enhanced continuous generation of non-Gaussianity through optomechanical modulation
• Vibrational Kerr solitons in an optomechanical microresonator
• Optomechanics with a position-modulated Kerr-type nonlinear coupling
• Thermal noise cancellation for optomechanically induced nonreciprocity in a whispering-gallery-mode microresonator
• Anti-parity-time symmetry hidden in a damping linear resonator
• Quantum magnetomechanics: towards the ultra-strong coupling regime
• Cavity quantum optomechanical nonlinearities and position measurement beyond the breakdown of the linearized approximation
• An opto-electro-mechanical system based on evanescently-coupled optical microbottle and electromechanical resonator
• Comparing nonlinear optomechanical coupling in membrane-in-the-middle and single-cavity optomechanical systems
• Bistability and squeezing of the librational mode of an optically trapped nanoparticle
• Estimation of squeezing in a nonlinear quadrature of a mechanical oscillator
• A hybrid graphene-siliconnitride nanomembrane as a versatile and ultra-widely tunable mechanical device
• Creating atom-nanoparticle quantum superpositions
• Quantum Hypergraph States in Continuous Variables
• Heat capacities of thermally manipulated mechanical oscillator at strong coupling
• Multiphonon quantum dynamics in cavity optomechanical systems
• Nonlinear optomechanical resonance entering a self-organized energy transfer pattern
• Higher-order interactions in quantum optomechanics: Revisiting theoretical foundations
• Preparation of entangled states of microwave photons in a hybrid system via electro-optic effect
• Higher-order interactions in quantum optomechanics: Analytical solution of nonlinearity
• Optically probing Schwinger angular momenta in a micromechanical resonator
• Squeezing of the mechanical motion and beating 3 dB limit using dispersive optomechanical interactions
• Quantum manipulation of a two-level mechanical system
• Generalized squeezing as a witness
• Deterministic generation of nonclassical mechanical states in cavity optomechanics via reinforcement learning
• Corrections to the Optomechanical Hamiltonian from Quadratic Fluctuations of a Moving Mirror
• Back action suppression for levitated dipolar scatterers
• Dynamical tunnelling of a Nano-mechanical Oscillator
• Mimicking a hybrid-optomechanical system using an intrinsic quadratic coupling in conventional optomechanical system
• Highly sensitive temperature sensing via quadratic optomechanical coupling
• Estimation of heavy tails in optical non-linear processes
• Stochastic Langevin propagation for classical and quantum optomechanics
• Electromagnetic Continuum Induced Nonlinearity
• Moment expansion method for composite open quantum systems including a damped oscillator mode
• Hybrid SU(1,1) interferometry in optomechanics
• Non-equilibrium quadratic measurement-feedback squeezing in a micromechanical resonator
• Measurement-based preparation of non-Markovian and multimode mechanical states
• Classical route to quantum chaotic motions