Quantum back-action evading measurement of collective mechanical modes

Abstract

The standard quantum limit constrains the precision of an oscillator position measurement. It arises from a balance between the imprecision and the quantum back-action of the measurement. However, a measurement of only a single quadrature of the oscillator can evade the back-action and be made with arbitrary precision. Here we demonstrate quantum back-action evading measurements of a collective quadrature of two mechanical oscillators, both coupled to a common microwave cavity. The work allows for quantum state tomography of two mechanical oscillators, and provides a foundation for macroscopic mechanical entanglement and force sensing beyond conventional quantum limits.

6 pages, 4 figures and supplement

References in corpus (14)

• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Nanomechanical motion measured with precision beyond the standard quantum limit
• Observation of Radiation Pressure Shot Noise on a Macroscopic Object
• Back-action evasion and squeezing of a mechanical resonator using a cavity detector
• Multimode circuit optomechanics near the quantum limit
• Two-mode squeezed states in cavity optomechanics via engineering of a single reservoir
• Establishing EPR-channels between Nanomechanics and Atomic Ensembles
• Evading quantum mechanics
• Generation of a squeezed state of an oscillator by stroboscopic back-action-evading measurement
• Two-mode squeezing in an electromechanical resonator
• Observation of back-action cancellation in interferometric and weak force measurements
• Observation and interpretation of motional sideband asymmetry in a quantum electro-mechanical device

Cited by in corpus (8)

• Negative-mass instability of the spin and motion of an atomic gas driven by optical cavity backaction
• Controlling Multimode Optomechanical Interactions via Interference
• Thermal-noise-resistant optomechanical entanglement via general dark-mode control
• Ultra-precision quantum sensing and measurement based on nonlinear hybrid optomechanical systems containing ultracold atoms or atomic Bose-Einstein condensate
• Unconditional mechanical squeezing via back-action evading measurements and non-optimal feedback control
• Optomechanical dual-beam backaction-evading measurement beyond the rotating-wave approximation
• Mechanical entanglement detection in an optomechanical system
• Decoherence of nonrelativistic bosonic quantum fields