Rydberg atoms on a ladder

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.