Floquet dynamics in quantum measurement of mechanical motion
arXiv:1805.12364 · doi:10.1103/PhysRevA.100.053852
Abstract
The radiation-pressure interaction between one or more laser fields and a mechanical oscillator gives rise to a wide range of phenomena: from sideband cooling and backaction-evading measurements to pondermotive and mechanical squeezing to entanglement and motional sideband asymmetry. In many protocols, such as dissipative mechanical squeezing, multiple lasers are utilized, giving rise to periodically driven optomechanical systems. Here we show that in this case, Floquet dynamics can arise due to presence of Kerr-type nonlinearities, which are ubiqitious in optomechanical systems. Specifically, employing multiple probe tones, we perform sideband asymmetry measurements, a macroscopic quantum effect, on a silicon optomechanical crystal sideband-cooled to 40% ground-state occupation. We show that the Floquet dynamics, resulting from the presence of multiple pump tones, gives rise to an artificially modified motional sideband asymmetry by redistributing thermal and quantum fluctuations among the initially independently scattered thermomechanical sidebands. For pump tones exhibiting large frequency separation, the dynamics is suppressed and accurate quantum noise thermometry demonstrated. We develop a theoretical model based on Floquet theory that accurately describes our observations. The resulting dynamics can be understood as resulting from a synthetic gauge field among the Fourier modes, which is created by the phase lag of the Kerr-type response. This novel phenomenon has wide-ranging implications for schemes utilizing several pumping tones, as commonly employed in backaction-evading measurements, dissipative optical squeezing, dissipative mechanical squeezing and quantum noise thermometry. Our observation may equally well be used for optomechanical Floquet engineering, e.g. generation of topological phases of sound by periodic time-modulation.
References in corpus (57)
- Cavity Optomechanics
- Laser cooling of a nanomechanical oscillator into its quantum ground state
- Introduction to Quantum Noise, Measurement and Amplification
- Optomechanically induced transparency
- Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
- Optomechanical Crystals
- 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
- Quantum squeezing of motion in a mechanical resonator
- Resolved Sideband Cooling of a Micromechanical Oscillator
- Remote quantum entanglement between two micromechanical oscillators
- Entangled massive mechanical oscillators
- Cooling of a micro-mechanical oscillator using radiation pressure induced dynamical back-action
- Non-classical correlations between single photons and phonons from a mechanical oscillator
- Distributed Temperature Sensing: Review of Technology and Applications
- Strong Optomechanical Squeezing of Light
- Squeezing of quantum noise of motion in a micromechanical resonator
- Measurement of the quantum zero-point motion of a nanomechanical resonator
- Nonreciprocal reconfigurable microwave optomechanical circuit
- Optimized optomechanical crystal cavity with acoustic radiation shield
- Cavity Nonlinear Optics at Low Photon Numbers from Collective Atomic Motion
- Quantum nondemolition measurement of a nonclassical state of a massive object
- Arbitrarily large steady-state bosonic squeezing via dissipation
- Hanbury Brown and Twiss interferometry of single phonons from an optomechanical resonator
- Two-mode squeezed states in cavity optomechanics via engineering of a single reservoir
- Nonreciprocal control and cooling of phonon modes in an optomechanical system
- Optomechanical creation of magnetic fields for photons on a lattice
- Nonlinear cavity optomechanics with nanomechanical thermal fluctuations
- Measuring nanomechanical motion with an imprecision far below the standard quantum limit
- Demonstration of efficient nonreciprocity in a microwave optomechanical circuit
- Mechanically Detecting and Avoiding the Quantum Fluctuations of a Microwave Field
- Thermo-refractive noise in gravitational wave antennae
- Optomechanical circuits for nanomechanical continuous variable quantum state processing
- Quantum nondemolition measurement of mechanical squeezed state beyond the 3 dB limit
- Pulsed excitation dynamics of an optomechanical crystal resonator near its quantum ground-state of motion
- Laser noise in cavity-optomechanical cooling and thermometry
- Measurement of the motional sidebands of a nanogram-scale oscillator in the quantum regime
- Phase-noise induced limitations on cooling and coherent evolution in opto-mechanical systems
- Dissipative optomechanical squeezing of light
- Optomechanical Raman-Ratio Thermometry
- Optical Backaction-Evading Measurement of a Mechanical Oscillator
- Quantum back-action in measurements of zero-point mechanical oscillations
- Observation and interpretation of motional sideband asymmetry in a quantum electro-mechanical device
- Classical and Quantum Theory of Photothermal Cavity Cooling of a Mechanical Oscillator
- Improving broadband displacement detection with quantum correlations
- Quantum limit of photothermal cooling
- Appearance and disappearance of quantum correlations in measurement-based feedback control of a mechanical oscillator
- Quantum correlations of light due to a room temperature mechanical oscillator for force metrology
- Quantum optomechanics in a liquid
- Sensitivity-bandwidth limit in a multi-mode opto-electro-mechanical transducer
- Cryogenic Optomechanics with a Si3N4 Membrane and Classical Laser Noise
- Floquet approach to bichromatically driven cavity optomechanical systems
- Two-Tone Optomechanical Instability and Its Fundamental Implications for Backaction-Evading Measurements
- Heterodyne photodetection measurements on cavity optomechanical systems: Interpretation of sideband asymmetry and limits to a classical explanation
- Split-sideband spectroscopy in slowly modulated optomechanics
- Quantum noise spectra for periodically-driven cavity optomechanics
- Synthetic gauge fields for phonon transport in a nano-optomechanical system
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- Four-wave-cooling to the single phonon level in Kerr optomechanics
- Floquet control of optomechanical bistability in multimode systems
- Quantum signature of a squeezed mechanical oscillator
- Stroboscopic quantum optomechanics
- Dissipative Quantum Feedback in Measurements Using a Parametrically Coupled Microcavity
- Combining Floquet and Lyapunov techniques for time-dependent problems in optomechanics and electromechanics
- Parametrically enhanced interactions and non-trivial bath dynamics in a photon-pressure Kerr amplifier
- Quantum motion of a squeezed mechanical oscillator attained via a optomechanical experiment