2D Skyrmion Crystal and Gauge Field for Neutral Atoms in Magnetic Lattices

We describe a scheme to realize two-dimensional Skyrmion crystals for neutral atoms using magnetic lattices. Hexagonal magnetic lattices are generated from current-carrying wires arranged in triangular lattice configurations and an external bias field normal to the lattice plane. We show that real-space Skyrmion-lattice spin textures can be imposed on spinor condensates with the magnetic lattices and that one can achieve large effective magnetic flux per unit cell from the spin texture control [1]. We discuss on the experimental conditions to study Haldane model and possible topological phases in this scheme. \\[4pt] [1] J. Choi \textit{et al}., Phys. Rev. Lett 111, 245301 (2013)