“…Superconducting quantum circuits [1,2], tapered nanofibers [3], and photonic crystals [4] are some examples of such systems. Strong light-matter interactions have been engineered in these waveguide QED systems to demonstrate many interesting physical phenomena such as resonance fluorescence [5][6][7], nonreciprocal transmission [8][9][10][11][12][13], electromagnetically induced transparency [14][15][16][17], cross-Kerr nonlinearity [18,19], photon-mediated interactions between distant emitters [20,21], quantum wave mixing [22,23], and to create basic all-optical quantum devices such as single-photon router or switch [14,24,25], single-photon transistor [26,27], amplifier [28][29][30][31][32]. Many of the above phenomena, e.g., electromagnetically induced transparency, cross-Kerr nonlinearity, nonreciprocity, and the devices, e.g., router, transistor, amplifier, are studied with a three-level emitter (3LE) and two light beams.…”