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Wigner Function Reconstruction in Levitated Optomechanics

Rashid, M; Toroš, M; Ulbricht, H; (2017) Wigner Function Reconstruction in Levitated Optomechanics. Quantum Measurements and Quantum Metrology , 4 (1) pp. 17-25. 10.1515/qmetro-2017-0003. Green open access

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Abstract

We demonstrate the reconstruction of the Wigner 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 effect 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.

Type: Article
Title: Wigner Function Reconstruction in Levitated Optomechanics
Open access status: An open access version is available from UCL Discovery
DOI: 10.1515/qmetro-2017-0003
Publisher version: http://dx.doi.org/10.1515/qmetro-2017-0003
Language: English
Additional information: Copyright © 2017 Muddassar Rashid et al., published by De Gruyter Open. This work is licensed under the Creative Commons attribution non-commercial-NoDerivs 4.0 License.
Keywords: Wigner function, quantum state tomography, levitated optomechanics, Gaussian state
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery.ucl.ac.uk/id/eprint/10066208
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