Gases of double-dipole particles with both magnetic and electric dipole moments offer interesting new possibilities. We show that the interplay between double-dipole interactions, quantum stabilization and external confinement leads to the rich ground-state physics of supersolid and incoherent droplet arrays in double-dipole condensates . Our work reveals new possibilities for designing quantum droplets and droplet supersolids, including the realization of supersolid-supersolid transitions and supersolid arrays of pancake droplets.

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