Non-Hermitian invisibility in tight-binding lattices

A flexible control of wave scattering in complex media is relevance different areas classical and quantum physics. Recently, great interest has been devoted to engineering non-Hermitian systems, with the prediction demonstration new classes potentials unique properties, such as transparent invisible or one-way reflectionless potentials. Such have found for both continuous discrete (lattice) systems. However, lattice systems displays some distinct features arising from (rather than continuous) translational invariance system, characterized by a finite band allowed energies speed propagation on lattice. can be exploited realize invisibility methods that fail when applied Here we show wide class time-dependent defects arbitrary spatial shape synthesized an Hermitian single-band tight-binding lattice, which are fully owing limited energy bandwidth