Rotating Bose-Einstein condensate in a box potential

We use a rapidly-rotating Bose-Einstein condensate confined by a cylindrical optical potential to realize a uniform quantum fluid subject to a synthetic magnetic field. We use this setup to explore the propagation of chiral edge modes at the boundary, and the physics of homogenous vortex liquids. For edge states, we determine the their speed as a function of energy, which serves as direct probe for edge channel dispersion. For vortex liquids we demonstrate that the bulk vortex density equals to Feynman's number, and the vortex-vortex correlation function directly reflects their pair-wise interaction. Intriguingly, even in the limit of non-interacting bosons in the lowest Landau level, the vortices, as zeroes of random polynomials, are still predicted to repel.