Quantum gases of 2-electron atoms feature peculiar intrinsic properties wich can be exploited in order to perform efficient simulation of quantum models originally envisioned outiside ot the mere atomic physics context, such as the Harper-Hofstadter or the multi-component Luttinger models.
In this talk we will focus on recent experimental realizations of Hall-like systems, which are originally envisioned in the condensed matter context, through ultracold, neutral Yb atoms. We will show how it is possible to implement 2-dimensional, sharp-edged systems featuring peculiar Hall-like features, such as edge states and chiral currentis, by manipulating either the spin and the orbital atomic degrees of freedom through laser fields. This approach amounts in imposing a finite-sized "synthetic" extra dimension on the original atomic system, allowing for the generation of synthetic gauge fields with unprecedented control on the system.
Interestingly, the possibility to manipulate the spin and orbital degrees of freedom makes these systems as optimal candidates for casting new light on the understanding of multi-orbital quantum materials, such as iron-based-superconductors.