Vortex lattice patterns with transitions from regular to other variety vortex shapes are predicted in rotating binary mixtures of dipolar Bose-Einstein condensates loaded in squared optical lattice. We focus our investigation in the experimentally accessible dipolar isotopes of dysprosium ($^{ 162,164}$Dy), erbium ($^{ 168}$Er), chromium ($^{ 52}$Cr), and rubidium ($^{ 87}$Rb), by considering the binary mixtures ($^{ 164}$Dy-$^{ 162}$Dy, $^{ 168}$Er-$^{ 164}$Dy, $^{ 164}$Dy-$^{ 52}$Cr and $^{ 164}$Dy-$^{ 87}$Rb), which are confined in strong pancake-shaped trap and loaded in squared two-dimensional optical lattices, where we vary the polarization angle of dipoles, the inter-species contact interactions and the rotation frequency. The ratio between inter- to intra-species contact interaction is used for altering the miscibility properties; with the polarization of the dipolar species used for tuning to repulsive or attractive the dipole-dipole interactions. For enough higher rotation, of particular interest is the regime when the inter- to intra-species scattering length is larger than one, in which a richer variety of vortex-lattice patterns are predicted, including vortex sheets and two-dimensional rotating droplet formations. The patterns can be controlled by changing the optical lattice parameters, as shown for the symmetric $^{ 164}$Dy-$^{ 162}$Dy dipolar mixture. For mixtures with stronger differences in the dipole moments, as $^{ 164}$Dy-$^{ 52}$Cr and $^{ 164}$Dy-$^{ 87}$Rb, only half quantum vortices and circular ones have been observed, which will depend on the dipole orientations.
Categories: cond-mat.quant-gas