Controlling The Floquet State Population And Observing Micromotion In A Periodically Driven Two-Body Quantum System

Near-resonant periodic driving of quantum systems promises the implementation of a large variety of novel quantum states, though their preparation and measurement remains challenging. We address these aspects in a model system consisting of interacting fermions in a periodically driven array of double wells created by an optical lattice. The singlet and triplet fractions and the double occupancy of the Floquet states are measured and their behavior as a function of the interaction strength is analyzed in the high-and low-frequency regimes. We demonstrate full control of the Floquet state population and find suitable ramping protocols and time scales that adiabatically connect the initial ground state to different targeted Floquet states. The micromotion that exactly describes the time evolution of the system within one driving cycle is observed. Additionally, we provide an analytic description of the model and compare it to numerical simulations.