# Vortex Lattice in a Rotating Holographic Superfluid

## TL;DR

This paper uses holographic duality to study vortex lattices in a rotating superfluid, revealing quantized vortices, critical angular velocities for vortex formation, and a linear relation between vortex density and angular velocity.

## Contribution

It introduces a holographic model to analyze vortex lattice formation in superfluids under rotation, confirming theoretical predictions and Feynman relation.

## Key findings

- Vortices are quantized with vorticity one.
- Vortex number increases with angular velocity, showing step transitions.
- Vortex density is linearly proportional to angular velocity.

## Abstract

By utilizing the AdS/CFT correspondence, we explore the dynamics of strongly coupled superfluid vortices in a disk with constant angular velocity. Each vortex in the vortex lattice is quantized with vorticity one from 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. The subsequent two and more vortices are also generated by increasingly rotating the disk, resulting in the remarkable step transitions for the angular velocity to 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.