Non-technical Abstract: Understanding and controlling quantum behavior in materials is a key challenge that could shape the future of technology—from faster computers to advanced medical imaging and secure communication. This project brings together two powerful fields—superconductivity and terahertz nonlinear optics—to explore how fundamental quantum effects can be more precisely controlled in real superconducting materials. A cutting-edge technique called terahertz two-dimensional coherent spectroscopy allows researchers to “see” and manipulate quantum processes in ways not possible before. This work not only opens new pathways for scientific discovery but also helps train the next generation of scientists and innovators through hands-on research and educational outreach activities. By bridging fundamental science with real world practical applications and workforce development, this project has the potential to drive innovation and broaden public understanding of quantum technologies. Technical Abstract: This research explores ultrafast quantum dynamics in light-induced superconducting states using terahertz two-dimensional coherent spectroscopy. The project addresses how quantum excitations—such as Floquet bands and Leggett mode echoes—emerge and interact under strong terahertz driving fields. Processes involving interactions among such excitations are crucial for understanding and controlling non-equilibrium phases in quantum materials. The research leverages terahert