Crystallisation of a dilute atomic dipolar condensate

We present a theory that explains the experimentally observed crystallisation of a dilute dysprosium condensate into a lattice of droplets. The key ingredient of our theory is a conservative three-body interaction which stabilises the droplets against collapse to high density spikes. Our theory reproduces the experimental observations, and provides insight into the manybody properties of this new phase of matter. Notably, we show that it is unlikely that a supersolid was obtained in experiments, however our results suggest a strategy to realize this phase.