Explore a comprehensive lecture on quantum simulators and processors utilizing Rydberg atom arrays. Delve into the atom-by-atom approach for building quantum matter, the dipole blockade concept, and high-fidelity entanglement techniques. Examine the experimental setup and learn about quantum simulators for Ising-type spin models. Investigate adiabatic preparation of ordered states, engineering broken symmetries, and benchmarking quantum simulators. Discover new physics in non-equilibrium many-body quantum dynamics, including the Kibble-Zurek Mechanism and its quantum predictions for isolated systems. Analyze scaling exponents for exotic phases and across all phases. Gain insights into the new era of programmable quantum simulators, optimization problems like maximum independent sets, and new trapping schemes for 2D arrays. Conclude with a summary and discussion on the dynamics of large systems and their understanding.