Transport and Fano resonance in a one-dimensional weakly-interacting periodically driven fermionic system

We investigate the transport properties of a one-dimensional weakly interacting spin-1/2 fermionic lattice with a periodically driven impurity. Using the mean-field approximation, we extend the analysis of a noninteracting system to include weak on-site interactions. In a system without interactions and for small driving amplitude, a Fano resonance emerges in the transmission spectrum at the energy of the incoming particle equal to the driving frequency. The effect of weak interactions consists of a shift and deformation of the resonance. Moreover, for higher values of the drive amplitude, the interplay between interactions and periodic driving results in the formation of two distinct Fano resonances, highlighting the non-trivial effects of interactions on quantum transport. Our results could be relevant on optical platforms to achieve light sensing and manipulation. • Weak interactions shift and deform Fano resonance in quantum transport. • Periodic driving and interactions generate two distinct Fano resonances. • Mean-field analysis reveals complex interplay between Floquet dynamics and correlations. • Interaction effects modify transmission spectra in a driven fermionic lattice. • Findings have potential applications in quantum control and optical sensing.