研究目的
Investigating the reconstruction of the Wigner function from marginal distributions of the motion of a single trapped particle using homodyne detection and demonstrating the possibility of generating quantum states of levitated optomechanical systems under continuous measurement by the trapping laser light.
研究成果
The study successfully demonstrates the reconstruction of the Wigner function of a thermal state of motion of a levitated nanoparticle using homodyne detection. This opens a route for quantum state preparation in levitated optomechanics, with future work aimed at generating non-classical motional states.
研究不足
The study is limited by the assumption of unperturbed harmonic evolution of the trapped system and the decoherence effect of continuous measurement from the trapping laser. The detection schemes are sensitive to phase changes and laser pointing instability, which limits the signal-to-noise ratio.
1：Experimental Design and Method Selection:
The study involves the use of homodyne detection to measure the motion of a single trapped particle and reconstruct its Wigner function. The opto-mechanical coupling is described for a particle trapped by a free-space focused laser beam without an optical cavity.
2：Sample Selection and Data Sources:
A silica particle of diameter 34 nm is trapped and its motion is measured using 1550 nm laser light of 650 mW.
3：List of Experimental Equipment and Materials:
The setup includes a parabolic mirror made of aluminium, photodetectors with a bandwidth of 4 MHz, and a silica particle.
4：Experimental Procedures and Operational Workflow:
The motion of the particle is measured by detecting the intensity of light, and the signal is filtered for the z degree of freedom of the particle and converted from time to oscillator phase.
5：Data Analysis Methods:
The marginal distributions are generated for phases 0 to 2π, and the Wigner function is reconstructed using the inverse Radon transformation.
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