“…Transport, localization and scattering of quantum or classical waves in systems described by effective non-Hermitian Hamiltonians are of major interest in different areas of science , ranging from the physics of open quantum systems to mesoscopic solid-state structures [2,13,14,17,20,23,25], atomic and molecular physics [1,34], optics and photonics [18,29,31,36,37,39,40,43], acoustics [48,52], magnetic and spin systems [21,28,32,33,35,46,47], quantum computing [26,27,42], and biological systems [7,50]. Several important signatures of non-Hermitian transport have been revealed, including non-Hermitian delocalization in disordered lattices [3][4][5][6][7][8][9][10][11][12], one-way scattering [15,16], transition from ballistic to diffusive transport [29], hyperballistic transport [30], invisibility of defects…”