We investigate a bilayer system of \({}^{87}\) Rb Rydberg atoms composed of \(3\times 3\) and \(2\times 2\) sublattices to study dynamics and quantum correlations between layers in a controlled three-dimensional geometry. Using time-resolved measurements, we observe Rydberg-mediated interactions between atoms in different layers. The measured dynamics are analyzed by fitting the experimental results to numerical simulations based on a theoretical model described by a Lindblad master equation, allowing reconstruction of the system’s density matrix. We evaluate the mutual information between the two sublattices and demonstrate that it provides an effective measure of interlayer correlations, even in the presence of dissipation. Our results establish a minimal and controllable platform for exploring quantum phases, frustration, and topological order in bilayer and multilayer quantum systems, advancing our understanding of strongly correlated many-body physics and higher-dimensional quantum simulators.
