Towards Supersolids of Ultracold Molecules

The production of ultracold molecular quantum gases promises to add long-range dipolar interaction to the quantum simulation toolbox. Here we show theoretically that such dipolar interactions can lead to the formation of new phases of matter in bulk molecular Bose-Einstein condensates, such as droplet states and supersolids. We discuss the possibilities that bulk molecular Bose-Einstein condensates may open up for dipolar many-body physics in the near future. Building on our work on dipolar droplets and supersolids that form from weakly dipolar atoms, we show how ultracold molecules and microwave shielding can provide fundamentally new insights into these exotic states of matter.