Supersolid phases of cold atom assemblies

We review recent theoretical results for soft-core Bose systems, and describe the low-temperature supersolid "droplet crystal" phase, predicted for a broad class of soft-core interactions. We identify the conditions on the inter-particle interaction that render such intriguing phase possible, and outline proposals for its observation. We argue this to be the prototypical supersolid, at least in the context of assemblies of ultracold atoms.