In this poster we present the realization of ferromagnets (FM) and antiferromagnets (AFM) for square arrays up to 100 atoms realizing the dipolar XY model. Our platform is based on individual atoms of rubidium trapped in arrays of optical tweezers. We encode the effective spin on two Rydberg states. The coupling between the spins results from the resonant dipole-dipole interaction, varying as $1/r^3$. Our preparation of the phase relies on an adiabatic procedure starting from a classical anti-ferromagnetic state prepared by using local energy shifts which are induced by onsite addressing beams. The FM and AFM states are respectively the highest and the lowest energy state of the dipolar XY model.
To investigate these states, we first measure the dynamics of the magnetizations and the growth of correlations along different directions as we enter the FM (AFM) phase. We show that the two phases emerge for different critical values of the control parameters during the adiabatic procedure. This difference is explained by the weak frustration induced by the long-range tail of the dipolar interaction for the AFM case. Finally, by analyzing the spatial profile of the correlations we show the presence of a long-range order for the FM, feature that vanishes for the AFM, consistent with the existence of a weakly frustrated order.
|Presenter name||Guillaume BORNET|
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