Fig. 2: Numerical results for the 1D tight-binding model.

a Schematic of the lattice, where γ denotes the on-site loss and κr(κl) are couplings from left to right (right to left). b The eigen spectra for the lattice shown in (a) under PBC (colored dots) and OBC (black dots), respectively. c Plot of all eigenmodes under OBC for a finite lattice with 31 sites. d Time evolutions of the intensity field in a finite lattice with a monochromatic excitation (ω = 0.5) at the left end (left panel) and the right end (right panel). e Similar to (d) but for a complex-frequency excitation (ω = 0.5 + 0.6i). d, e The intensity at each time slice is normalized by the maximum value at that moment for easy visualization and the insets show the signal strength without normalization at t = 18 and t = 19. The lattice parameters used in the calculations are κr = 0.7, κl = 1.3, and γ = 0.8.