Quantum Droplets in Dipolar Bose-Einstein Mixtures in 1D

This work analyzes long-range dipole-dipole interactions in the binary ultracold $^{166}$Er -$^{164}$Dy mixture system in one dimension. Formation of droplets is studied either in free or inhomogeneous space. Under the presence of an external time-dependent magnetic field, dipole-dipole interactions are tuned from repulsive to attractive to access either the droplet regime or the cloud one filling the full space, where individual species can be found in mixed or demixed phases. A thorough exploration of weak contact and dipole-dipole effective interaction parameters leads us to determine the phase diagrams of the 1D Bose clouds affected by three different external fields: free homogeneous, harmonic, and optical lattice confining potentials.

These results are the basis to set long-life states composed of alternate assemblies of individual species confined in optical lattices that mimics magnetic domains and whose size can be adjusted.