Over the past decade, the field of quantum engineering has emerged from advances in creating genuine quantum many-body phenomena with ultracold atoms, spins, and electrons. In particular, the fascinating interplay between exactly solved models and experimental advances in low dimensions yields further insight into the exciting and fundamental physics of interacting many-body systems. In view of these advances, this international workshop aims to focus on the theoretical and experimental development of exactly solvable models and quantum field theories in the areas of ultracold atoms and condensed matter. The workshop will bring together theorists and experimentalists to discuss promising developments in low-dimensional many-body physics.