An analytical model for the detection of levitated nanoparticles in optomechanics

A T M Anishur Rahman; A C Frangeskou; P F Barker; G W Morley

doi:10.1063/1.5008396

An analytical model for the detection of levitated nanoparticles in optomechanics

Rev Sci Instrum. 2018 Feb;89(2):023109. doi: 10.1063/1.5008396.

Authors

A T M Anishur Rahman¹, A C Frangeskou², P F Barker¹, G W Morley²

Affiliations

¹ Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom.
² Department of Physics, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, United Kingdom.

PMID: 29495859
DOI: 10.1063/1.5008396

Abstract

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 presence of spurious frequencies in the spectra.