Induced supersolidity in a Dy-Er mixture

The recent experimental realization of the heteronuclear dipolar mixture of Dy and Er atoms opens fascinating prospects for creating intriguing novel phases in dipolar quantum gases. The experimentally measured value of intraspecies s-wave scattering length of ¹⁶⁶Er condensate in a ¹⁶⁴Dy-¹⁶⁶Er mixture is larger than its intraspecies dipolar length implies that the ¹⁶⁶Er condensate itself will not be in a regime of dominated dipole-dipole interaction (DDI). However, we find that the presence of ¹⁶⁴Dy atoms with high magnetic moment induces droplet nucleation and supersolidity in the ¹⁶⁶Er condensate via the long-range and anisotropic interspecies DDI. Remarkably, we find that the imbalance in the magnetic dipole moment combined with its strong anisotropic coupling leads to the emergence of unique ground-state phases. The emerging phases include doubly superfluid states, a mixture of insulating droplets and supersolid states, binary supersolids with uniform and alternating domains and a combination of supersolid-superfluid mixed states. We delineate the properties of all these ground-state phases and construct a phase diagram. We also explore the dynamical evolution across these phase boundaries via a linear quench of interspecies scattering length. Although we demonstrate the result for the ¹⁶⁴Dy-¹⁶⁶Er mixture, our results are generally valid for other dipolar bosonic mixtures of different Dy-Er isotope combinations and may become an important benchmark for future experimental scenarios.