  In this article, we study the dynamic variant and the equilibrium variant of
the model of Rydberg atoms on a square ladder. In the dynamic case, we obtain
the jamming limit for all values of $b \ge 1$, where $b$ represents the
so-called blockade range of a Rydberg atom. In the equilibrium case, we derive
the complexity function for all values of $b \ge 1$. By comparing these
results, we highlight significant differences in the behavior of the two models
as $b$ approaches infinity.
