MA-3: Building on recent advances in quantum materials and quantum simulation platforms to realize previously inaccessible phases of matter, with emphasis on fractionalized phases, topological superconductivity, defect-bound quantum wires and dynamical Floquet phases. Scientific goals of MA-3 include unprecedentedly thorough investigations of quantum critical points in Rydberg atom chains, discovery of exotic quantum phases realized in twisted and untwisted multilayer graphene, realizations of fracton order in correlated electron systems, and realization of novel quantum many-body states stabilized by a combination of strong correlations and strong driving.