Pair formation in strongly interacting quantum droplets

In this talk I will discuss the existence of quantum droplets in two-component one-dimensional Bose-Hubbard chains. I will present the ground-state phase diagram where the different phases are characterized by examining the density profile and off-diagonal one- and two-body correlation functions. An scan from the weakly interacting situation to the strongly interacting one is performed and a rich variety of phases is found, including atomic superfluid gases, atomic superfluid droplets, pair superfluid droplets, pair superfluid gases, and a Mott-insulator phase. Then, I will move to discuss the formation of a bound state at the few-body level using an effective dimer Hamiltonian and its connection with the quantum droplet in the many-body problem. Finally I will present some relevant examples for an experimental implementation and the possible connection with dipolar systems.