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Bulletin of the American Physical Society

Synthetic Dimensions with Rydberg Atoms

Sohail Dasgupta, S. K. Kanungo, F. B. Dunning, T. C. Killian, Kaden R. A. Hazzard

Published Mar 15, 2021• 0 citations
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The marriage between Rydberg physics and ultracold atomic systems have hatched so many fascinating achievements. The exaggerated properties of Rydberg states, combined with the pristine environments provided by the ultracold atoms, can lead to realizations of exotic physical systems. One particularly innovative direction that emerged recently is to use microwave-frequency transitions between Rydberg levels to simulate the dynamics of a particle hopping between lattice sites. Such approach, referred to as Rydberg synthetic dimensions, falls under the broad scheme of quantum simulations. Here we present description of the infrastructure used for Rydberg excitation and coherent microwave transitions, which are essential to the realization of Rydberg synthetic dimensions. We will also present experimental results on simulating the Su-Schireffer-Heeger Hamiltonian, a canonical model with paradigmatic importance in topological physics.
Synthetic dimensions, wherein dynamics occurs in a set of internal states, have found great success in recent years in exploring topological effects in cold atoms and photonics. However, the phenomena thus far explored have largely been restricted to the non-interacting or weakly interacting regimes. Here, we extend the synthetic dimensions playbook to strongly interacting systems of Rydberg atoms prepared in optical tweezer arrays. We use precise control over driving microwave fields to introduce a tunable U(1) flux in a four-site lattice of coupled Rydberg levels. We find highly coherent dynamics, in good agreement with theory. Single atoms show oscillatory dynamics controllable by the gauge field. Small arrays of interacting atoms exhibit behavior suggestive of the emergence of ergodic and arrested dynamics in the regimes of intermediate and strong interactions, respectively. These demonstrations pave the way for future explorations of strongly interacting dynamics and many-body phases in Rydberg synthetic lattices.