Rapidly rotating quantum gas 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 study their transport properties as a function of the wall steepness, revealing the crossover from ExB drift to sharp wall limit. We demonstrate that the edge modes are topologically protected against static disorders. For vortex liquids we show 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.