Understanding and controlling new forms of quantized light-matter quantum systems expands the horizon of our understanding to the physical universe. Light-matter quantum systems have opened a conceptual umbrella in quantum information science that encompasses a wide range of emergent phenomena with low-energy description, from condensed matter, to high-energy physics, to statistical mechanics, and models of quantum gravity. Dynamical processes of these quantum optical systems may be adapted to answering the grand challenges in basic science.
In this research program, we are pursuing a form of quantum electrodynamics (QED) beyond mean-field physics that is manifestly computationally complex. We call this domain of strong-coupling quantum optics as many-body QED (mQED). In our work, we utilize state-of-art laboratory and theoretical techniques to elucidate the physics of mQED by coupling highly-correlated Rydberg matter to an ultra-high-finesse optical cavity. Our research program utilizes the interplay between quantum many-body interactions and global coherent atom-light coupling, putting strongly-interacting matter and light on equal footing. Beyond efficient and resilient quantum computation and networking, many-body QED exploits Liouvillian computational complexities for the exploration of highly-entangled quantum systems, and may be applied to help address some of the most profound questions in physical and computational sciences - from Baryonic asymmetry. to quantum gravity, and to quantum Church-Turing thesis.