QUANTIFLAC · QUANTum mixtures In FLat And Curved geometries

Ultracold quantum gases allowed to realize experimentally several paradigmatic models of theoretical physics, such as nonrelativistic bosons and fermions with zero-range interactions. One of the issues driving the last decades of research on quantum gases was understanding how, from these fundamental models, macroscopic structures and quantum phenomena emerge. Along this direction, the most recent advances of the field include the discovery of dilute quantum droplets and supersolidity in gases with long-range interactions. A great deal of experimental and theoretical attention is now directed at identifying novel phases of multi-component Bose or Fermi mixtures with different compositions, different types of interactions, and in various geometries. The QUANTIFLAC project will analyze low-dimensional Bose-Bose and Fermi-Fermi mixtures of ultracold quantum gases, with the goal of engineering minimally-complicated microscopic models displaying exotic many-body effects. We plan to study emergent inhomogeneous structures in bosonic mixtures and self-binding in fermionic mixtures, aiming to determine whether this type of phenomena can be driven exclusively by structureless zero-range interactions. We will also investigate Bose-Bose mixtures confined in various curved geometries, to understand how the interplay of curvature, boundary conditions and topology regulates the macroscopic quantum behavior of the system. This theoretical project has tight connections with various established experimental groups: its results will raise immediate interest and have far-reaching implications for the quantum simulation of matter with ultracold atomic mixtures and for the fundamental understanding of macroscopic quantum aggregates.