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Position Measurement of a Levitated Nanoparticle via Interference with Its Mirror Image

<p>Interferometric methods for detecting the motion of a levitated nanoparticle provide a route to the quantum ground state, but such methods are currently limited by mode mismatch between the reference beam and the dipolar field scattered by the particle. Here we demonstrate a self-interference method to detect the particle&rsquo;s motion that solves this problem. A Paul trap confines a charged dielectric nanoparticle in high vacuum, and a mirror retro-reflects the scattered light. We measure the particle&rsquo;s motion with a sensitivity of&nbsp;1.7&times;10&minus;12&thinsp;&thinsp;m/&radic;Hz, corresponding to a detection efficiency of 2.1%, with a numerical aperture of 0.18. As an application of this method, we cool the particle, via feedback, to temperatures below those achieved in the same setup using a standard position measurement.</p>

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8
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4