Vortex lattice in a rotating holographic superfluid

By utilizing the AdS /CFT correspondence, we explore the dynamics of strongly coupled superfluid vortices in a disk with constant angular velocity at a finite temperature. Each vortex in the vortex lattice is quantized with vorticity n =1 by the direct inspection of their phases. As the angular velocity of the disk is greater than a critical value, the first vortex will be excited as expected from theoretical predictions. Subsequent vortices are also generated by increasing the rotation of the disk, resulting in remarkable step transitions of the angular velocity which excite each individual vortex. When the vortex number is large enough, the density of vortices is found to be linearly proportional to the angular velocity, which matches the Feynman relation very well. We also find that varying the temperature does not alter this Feynman relation.