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

中文翻译：

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一对周期性驱动的里德堡原子中的种群陷阱

我们研究了定期驱使的里德伯格对中大量诱捕的种群。原子-光失谐的周期性调制有效地抑制了Rabi耦合，并与Rydberg-Rydberg相互作用一起导致了依赖状态的种群陷阱。我们确定了一个简单而通用的方案，使用驾驶诱发的共振，Floquet谱和反参与比来确定人口陷阱区域。与单原子情况相反，我们显示了在两个原子设置中捕获的种群可能不一定与Floquet谱中的水平交叉相关。此外，我们讨论在什么条件下种群捕获可以与动态稳定相关，采用特定的和实验上相关的初始状态，包括产品状态和最大纠缠的贝尔状态。