Rydberg noisy dressing and applications in making soliton molecules and droplet quasicrystals

Abstract

The current advances in the field of ultracold atoms and atomic traps recall new controllable long-range interactions. These interactions are expected to extend the range of realizable quantum algorithms as well as provide new control mechanisms for the new types of quantum matters. This Letter presents special interatomic interactions between Rydberg-dressed atoms by manipulating the lasers' linewidth. The proposed interaction features a hybrid spatial profile containing plateaus and Gaussian peaks. Combined with dynamic control over the sign and strength of individual interaction elements, the Rydberg noisy-dressing (RnD) scheme provides a valuable interaction toolbox for quantum technology. As an example, RnD's applications in making stable gigantic three-dimensional soliton molecules and in the formation of quasiperiodic droplet crystals are discussed.