Population trapping in a pair of periodically driven Rydberg atoms

We study the population trapping extensively in a periodically driven Rydberg pair. The periodic modulation of atom-light detuning effectively suppresses Rabi couplings and, together with Rydberg-Rydberg interactions, leads to state-dependent trapping. identify simple yet general scheme determine regions using driving-induced resonances, Floquet spectrum, and inverse participation ratio. Contrary single-atom case, we show that two-atom setup may not necessarily be associated level crossings spectrum. Further, discuss under what criteria can related dynamical stabilization, taking specific experimentally relevant initial states, which include both product maximally entangled Bell states. behavior states is further characterized by bipartite entanglement entropy.