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The study explores cat state formation in the strong Rydberg dressing regime,uncovering the emergence of cat states despite the presence of all orders ofnonlinearities. This unexplored regime demonstrates potential for rapid catstate formation, particularly beneficial for operation in 2D lattices inRydberg labs. Additionally, the paper discusses the potential for creating asuperposition of m coherent spin states (m-SCSS), where the maximum m isdetermined by the number of atoms within the blockade radius $m=\sqrt{N}$.

Fast generation of multi-component cat states under the Strong Rydberg Dressing Regime