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