A symbiotic nondipolar droplet supersolid in a binary dipolar-nondipolar Dy-Rb mixture

Abstract: We demonstrate the formation of two types of symbiotic nondipolar droplet supersolid in a binary dipolar-nondipolar mixture with an interspecies atraction, where the dipolar (nondipolar) atoms are trapped (untrapped). In the absence of an interspecies attraction, in the first type, a dipolar droplet supersolid exists, whereas in the second type, there are no droplets in the dipolar component. To illustrate, we consider a $^{164}$Dy-$^{87}$Rb mixture, where the untrapped $^{87}$Rb supersolid sticks to the trapped $^{164}$Dy supersolid due to the interspecies attraction and forms a symbiotic supersolid with overlapping droplets. The first (second) type of symbiotic supersolid emerges for the scattering length $ a_1=85a_0$ ($a_1=95a_0$) of $^{164}$Dy atom, while under an appropriate trap a dipolar droplet supersolid exists (does not exist) for no interspecies interaction, where $a_0$ the Bohr radius. This study is based on the numerical solution of an improved binary mean-field model, where we introduce an intraspecies Lee-Huang-Yang interaction in the dipolar component, which stops a dipolar collapse and forms a dipolar supersolid.To observe this symbiotic droplet supersolid, one should prepare the corresponding fully trapped dipolar-nondipolar supersolid and then remove the trap on the nondipolar atoms.