Synthetic random flux model in a periodically driven optical lattice

We propose a realization of a synthetic random flux model in a two-dimensional optical lattice. Starting from Bose-Hubbard Hamiltonian for two atom species, we show how to use fast-periodic modulation of the system parameters to construct a random gauge field. We investigate the transport properties of such a system and describe the impact of time-reversal symmetry breaking and correlations in disorder on Anderson localization length.