Quantum Dynamics of a Fermionic Tilted Flux Ladder

We theoretically study the quantum dynamics of fermions in a tilted flux ladder. A flux ladder without any tilt is known to have a Meissner-vortex phase transition that resembles type-II superconductors. Here we show such picture is drastically modified in the presence of a tilting potential. In our system, the chiral currents exhibit signatures of a dynamical phase transition from dimerized oscillatory behaviors to Stark localization. Under specific conditions, our system also features a Dirac-type dispersion, which is modified in the presence of interactions. Our prediction can be realized and tested experimentally in a Wannier-Stark optical lattice clock with spin-orbit coupling.