Nontechnical Description The ability to engineer and manipulate quantum materials using light lies at the heart of emerging technologies in quantum sensing, optoelectronics, and ultrafast information processing. This project pioneers a new approach to such control through steady-state Floquet engineering—a method of using continuous-wave electromagnetic fields to create and stabilize novel quantum states of matter. Traditional Floquet methods have required extremely intense laser pulses, limiting practical applications. In contrast, the collaborative team at Columbia and University of Michigan will exploit modern nano-optics strategies to enhance light-matter interactions by orders of magnitude. These innovations will enable low-power, chip-scale implementation of enigmatic Floquet effects across a broad range of materials including two-dimensional semiconductors, superconductors, and magnetic systems. The proposed research will address foundational and technological challenges across five key goals: (1) developing steady-state Floquet platforms using enhanced cavities; (2) exploring Floquet-driven topological and superconducting phases; (3) enabling reconfigurable terahertz hardware; (4) creating tunable quantum emitters and low-noise short-wave infrared detectors; and (5) designing frequency transducers and nonlinear optical diodes. These breakthroughs promise to unlock new regimes of quantum control with broad implications for quantum communications, sensing, and material