Mechanical Squeezing via Parametric Amplification and Weak Measurement

2011/07/31 by Alex Szorkovszky, Andrew C. Doherty, Glen I. Harris +1 · 179 citations
Engineering · Mathematics · Physics and Astronomy · #Action (physics) #Advanced MEMS and NEMS Technologies #Classical mechanics #Coherent states #Computer science #Control (management) #Control theory (sociology) #Force Microscopy Techniques and Applications #Kinematics #Laser #Mathematics #Mechanical and Optical Resonators #Mechanical system #Motion (physics) #Nonlinear system #Optical parametric oscillator #Parametric oscillator #Parametric statistics #Physics #Point (geometry) #Quantum #Quantum mechanics #Squeezed coherent state #Steady state (chemistry) #Weak measurement #quant-ph

paper · pdf · doi:10.1103/physrevlett.107.213603

published in Physical Review Letters 107(21), 213603 (American Physical Society) · 4 pages, 3 figures

arxiv created 2011/09/30 · openalex publication_date 2011/11/15 · arxiv updated 2011/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Nonlinear forces allow motion of a mechanical oscillator to be squeezed below the zero-point motion. Of existing methods, mechanical parametric amplification is relatively accessible, but previously thought to be limited to 3 dB of squeezing in the steady state. We consider the effect of applying continuous weak measurement and feedback to this system. If the parametric drive is optimally detuned from resonance, correlations between the quadratures of motion allow unlimited steady-state squeezing. Compared to backaction evasion, we demonstrate that the measurement strength, temperature and efficiency requirements for quantum squeezing are significantly relaxed.

Citations

• A straightforward introduction to continuous quantum measurement
• Back-action evasion and squeezing of a mechanical resonator using a cavity detector
• Quantum ground state and single-phonon control of a mechanical resonator
• Bringing entanglement to the high temperature limit

Cited by

• Atomic swap gate, driven by position fluctuations, in dispersive cavity optomechanics
• Enhanced nonlinear interactions in quantum optomechanics via mechanical amplification
• Effects of quadratic coupling and squeezed vacuum injection in an optomechanical cavity assisted with a Bose-Einstein condensate
• Enhancing Squeezing and Nonclassicality of Light in Atom–Optomechanical Systems
• Gravitational Forces Between Nonclassical Mechanical Oscillators
• Quantum Signature of a Squeezed Mechanical Oscillator
• Strong Thermomechanical Squeezing via Weak Measurement
• Squeezing of mechanical motion via qubit-assisted control

Related

• Enhancement of mechanical squeezing via feedback control
• Back-action evasion and squeezing of a mechanical resonator using a cavity detector
• Quantum squeezing in a nonlinear mechanical oscillator
• Generating strong mechanical squeezing via combined squeezed vacuum field and two-tone driving
• Conditional Motional Squeezing of an Optomechanical Oscillator Approaching the Quantum Regime