In the field of ultracold atoms, two major recent research directions have been rapidly rotating Bose-Einstein condensates, and condensates loaded into optical lattice potentials. While past optical lattice work has concentrated largely on the regime of few correlated particles per lattice site, in this thesis the opposite limit of tunnel- coupled arrays of macroscopic condensates \textendash Josephson junction arrays \textendash is studied. Combining such Josephson junction arrays with rapidly rotating BECs yields highly complex quantum fluid systems with many analogies to condensed-matter systems. In particular, optical lattice potentials allow the creation of low-dimensional, or effectively low-dimensional systems.
In the field of ultracold atoms, two major recent research directions have been rapidly rotating Bose-Einstein condensates, and condensates loaded into optical lattice potentials. While past optical lattice work has concentrated largely on the regime of few correlated particles per lattice site, in this thesis the opposite limit of tunnel- coupled arrays of macroscopic condensates \textendash Josephson junction arrays \textendash is studied. Combining such Josephson junction arrays with rapidly rotating BECs yields highly complex quantum fluid systems with many analogies to condensed-matter systems. In particular, optical lattice potentials allow the creation of low-dimensional, or effectively low-dimensional systems.