Figure 1

Schematic plot of a SF state transition into a hexagonal SS state in a quasi-2D trapped Rydberg-dressed BEC when the coupling constant Λ is increased from below to above a critical value Λc. Right upper inset shows in the SS state that two new length scales, the lattice constant d and the radius of the SS droplets R, emerge. Right lower inset shows the first Brillouin zone of a 2D hexagonal lattice with the wavevector kM defined.