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Complex Squeezing and Force Measurement Beyond the Standard Quantum Limit.

L F Buchmann1,2, S Schreppler2, J Kohler2

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Summary
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Homodyne detectors miss complex squeezing in quantum fields. Synodyne detection reveals this complex squeezing and enables sensitive force measurement, even under continuous observation.

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Area of Science:

  • Quantum optics
  • Cavity optomechanics
  • Quantum field theory

Background:

  • Continuous quantum fields exhibit frequency-inhomogeneous squeezing spectra.
  • Homodyne detectors are insensitive to complex squeezing spectra where amplitude and phase fluctuations have complex correlations.

Purpose of the Study:

  • To theoretically investigate complex squeezing in cavity optomechanics.
  • To propose a novel detection scheme for complex squeezing and measurement backaction.
  • To enable sensitive force measurement limited by thermal noise.

Main Methods:

  • Theoretical analysis of ponderomotive squeezing in cavity optomechanics.
  • Development of the synodyne detection scheme.
  • Analysis of measurement backaction and force sensitivity.

Main Results:

  • Complex squeezing is identified as a component of ponderomotive squeezing.
  • Synodyne detection effectively reveals complex squeezing.
  • The proposed scheme allows for accounting of measurement backaction.

Conclusions:

  • Synodyne detection overcomes limitations of homodyne detectors for complex squeezing.
  • This method allows for highly sensitive force measurement in optomechanical systems.
  • Sensitivity is fundamentally limited by the mechanical oscillator's thermal occupation.