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Nature Physics

Time-of-flight quantum tomography of an atom in an optical tweezer

Mark O. Brown, Sean R. Muleady, Willa J. Arthur-Dworschack, Robert J. Lewis-Swan, Ana María Rey, Oriol Romero‐Isart, Cindy A. Regal

Published Jan 23, 2023• 41 citations
Publisher
DOI
10.1038/s41567-022-01890-8

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Time of flight is an intuitive way to determine the velocity of particles and lies at the heart of many capabilities ranging from mass spectrometry to fluid flow measurements. Here we show time-of-flight imaging can realize tomography of a quantum state of motion of a single trapped atom. Tomography of motion requires studying the phase space spanned by both position and momentum. By combining time-of-flight imaging with coherent evolution of the atom in an optical tweezer trap, we are able to access arbitrary quadratures in phase space without relying on coupling to a spin degree of freedom. To create non-classical motional states, we harness quantum tunneling in the versatile potential landscape of optical tweezers, and our tomography both demonstrates Wigner function negativity and assesses coherence of non-stationary states. Our demonstrated tomography concept has wide applicability to a range of particles and will enable characterization of non-classical states of more complex systems or massive dielectric particles.
This thesis describes the design and construction of a three-dimensional optical tweezer system. The three-dimensional aspects were constructed as a modular upgrade to a previously existing one-dimensional system and were characterised using 87Rb with avenues for future research using 40K in mind. The three-dimensional optical tweezer system was used to demonstrate multiple Bose-Einstein condensation in horizontal and vertical planes and gravitationally driven atomic collisions.\n\nIn order to take advantage of the three-dimensional nature of the optical tweezer system and to build capabilities with Rydberg quantum optics, vortex lattice studies and atom interferometry, a vertical imaging path was added to the existing experiment. Compared with the existing horizontal imaging path, the vertical imaging path has higher spatial resolution. A magnetic levitation scheme was implemented to prevent depth of focus issues due to atoms falling under the influence of gravity during ballistic expansion in time-of-flight. The levitation scheme was also used to increase the maximum time-of-flight using the horizontal imaging path by more than a factor of two. The improved resolution enabled observation of matter wave interference fringes for the first time in the Kjaergaard lab, which is a first step towards the study of quantum vortices.