Resonant Dynamics of Strongly Interacting SU(n) Fermionic Atoms in a Synthetic Flux Ladder

We theoretically study the dynamics of  n -level spin-orbit coupled alkaline-earth fermionic atoms with  SU ( n )  symmetric interactions. We consider three-dimensional lattices with tunneling along one dimension, and the internal levels treated as a synthetic dimension, realizing an  n -leg flux ladder. Laser driving is used to couple the internal levels and to induce an effective magnetic flux through the ladder. We focus on the dense and strongly interacting regime, where in the absence of flux the system behaves as a Mott insulator with suppressed motional dynamics.