Wigner Function Reconstruction in Levitated Optomechanics

© 2017 Muddassar Rashid et al., published by De Gruyter Open. This work is licensed under the Creative Commons AttributionNonCommercial-NoDerivs 4.0 License. Quantum Meas. Quantum Metrol. 2017; 4:17–25 Research Article Open Access Muddassar Rashid, Marko Toroš, and Hendrik Ulbricht* Wigner Function Reconstruction in Levitated Optomechanics https://doi.org/10.1515/qmetro-2017-0003 Received July 24, 2017; accepted September 19, 2017 Abstract:Wedemonstrate the reconstructionof theWigner function from marginal distributions of the motion of a single trapped particle using homodyne detection. We show that it is possible to generate quantum states of levitated optomechanical systems even under the e ect of continuous measurement by the trapping laser light. We describe the opto-mechanical coupling for the case of the particle trapped by a free-space focused laser beam, explicitly for the case without an optical cavity. We use the scheme to reconstruct the Wigner function of experimental data in perfect agreement with the expected Gaussian distribution of a thermal state of motion. This opens a route for quantum state preparation in levitated optomechanics.