Quantum droplets with particle imbalance in onedimensional optical lattices

Abstract

We study the effect of particle imbalance in quantum droplets formed by a binary bosonic mixture in a one-dimensional optical lattice. In this situation not all bosons are paired and we encounter an interplay between bound states and individual atoms that leads to intriguing phenomena. For small imbalances, quantum droplets are able to support a finite difference in densities, thus showing an effective magnetization. As the imbalance increases, a critical point is reached at which the droplets expels the excess of particles and the magnetization is locked in the bulk. We study the effects of the imbalance from both the few- and many-body perspective and we are able to extrapolate our results to the thermodynamic limit.