ICTS

We study a Rydberg chain subjected to a two-tone periodic drive of the detuning $\Delta(t)$ and Rabi frequency $\Omega(t)$ at frequencies $\omega_1$ and $\omega_2=\nu \omega_1$ respectively with $\nu \in \mathbf{Z}$. In the strong Rydberg blockade limit, such a system reduces to the PXP model and exhibits an exact Floquet flat band. Here we study the melting of such flat bands in the presence of strong, but finite, blockade strength. Using Floquet perturbation theory (FPT), we identify two mechanisms for such melting; the first occurs due to the presence of many-body resonances involving resonant production of nearest-neighbor Rydberg excitation pairs while the second involves virtual processes that access intermediate states with such pairs. We study the dynamics for $|{\rm vac}\rangle$ , $|{\mathbb {Z}}_2\rangle$, and $|{\mathbb {Z}}_3\rangle$  initial states and demonstrate initial state dependence of the Floquet dynamics.  We propose experiments using Rydberg atom quantum simulator platforms as an accessible experimental probe for these effects.