An analytical model for the detection of levitated nanoparticles in optomechanics.

  title={An analytical model for the detection of levitated nanoparticles in optomechanics.},
  author={A. T. M. Anishur Rahman and Angelo Frangeskou and Peter Barker and Gavin W. Morley},
  journal={The Review of scientific instruments},
  volume={89 2},
Interferometric position detection of levitated particles is crucial for the centre-of-mass (CM) motion cooling and manipulation of levitated particles. In combination with balanced detection and feedback cooling, this system has provided picometer scale position sensitivity, zeptonewton force detection, and sub-millikelvin CM temperatures. In this article, we develop an analytical model of this detection system and compare its performance with experimental results allowing us to explain the… 

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