Optomechanical dual-beam backaction-evading measurement beyond the rotating-wave approximation
arXiv:1610.00154 · doi:10.1103/PhysRevA.94.053820
Abstract
We present the exact analytical solution of the explicitly time-periodic quantum Langevin equation describing the dual-beam backaction-evasion measurement of a single mechanical oscillator quadrature due to Braginsky, Vorontsov and Thorne beyond the commonly used rotating-wave approximation. We show that counterrotating terms lead to extra sidebands in the optical and mechanical spectra and to a modification of the main peak. Physically, the backaction of the measurement is due to periodic coupling of the mechanical resonator to a light field quadrature that only contains cavity-filtered shot noise. Since this fact is independent of other degrees of freedom the resonator might be coupled to, our solution can be generalized, including to dissipatively or parametrically squeezed oscillators, as well as recent two-mode backaction evasion measurements.
arXiv comment10 pages, 3 figures. v2: Title change, minor typos
References in corpus (18)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Cavity Optomechanics
- Introduction to Quantum Noise, Measurement and Amplification
- Quantum squeezing of motion in a mechanical resonator
- Squeezing of quantum noise of motion in a micromechanical resonator
- Gently modulating opto-mechanical systems
- Back-action evasion and squeezing of a mechanical resonator using a cavity detector
- Quantum nondemolition measurement of a nonclassical state of a massive object
- Arbitrarily large steady-state bosonic squeezing via dissipation
- Back-action Evading Measurements of Nanomechanical Motion
- Mechanically Detecting and Avoiding the Quantum Fluctuations of a Microwave Field
- Evading quantum mechanics
- Quantum nondemolition measurement of mechanical squeezed state beyond the 3 dB limit
- Quantum back-action evading measurement of collective mechanical modes
- Two-mode back-action-evading measurements in cavity optomechanics
- Observation and interpretation of motional sideband asymmetry in a quantum electro-mechanical device
- Trajectories without quantum uncertainties
- Floquet approach to bichromatically driven cavity optomechanical systems
Cited by in corpus (17)
- Quantum-limited directional amplifiers with optomechanics
- Optical Backaction-Evading Measurement of a Mechanical Oscillator
- Conditional dynamics of optomechanical two-tone backaction-evading measurements
- Force sensing in an optomechanical system with feedback-controlled in-loop light
- Ultra-precision quantum sensing and measurement based on nonlinear hybrid optomechanical systems containing ultracold atoms or atomic Bose-Einstein condensate
- Nonlinear Graphene Quantum Capacitors for Electro-optics
- Unconditional mechanical squeezing via back-action evading measurements and non-optimal feedback control
- Pulse reverse-engineering for strong field-matter interaction
- Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation
- Invariant-based pulse design for three-level systems without the rotating-wave approximation
- Pulsed quantum interaction between two distant mechanical oscillators
- Combining Floquet and Lyapunov techniques for time-dependent problems in optomechanics and electromechanics
- Quantum noise spectra for periodically-driven cavity optomechanics
- Theory of noiseless phase-mixing amplification in a cavity optomechanical system
- Strong quantum entanglement via a controllable four wave mixing mechanism in an optomechanical system
- Sensing force gradients with cavity optomechanics while evading backaction
- Sensing atomic superfluid rotation beyond the standard quantum limit