Abstract
Giant quantum emitters, whose effective size is comparable to the wavelength of the radiation they couple to, give rise to interference effects and non-Markovian dynamics that lie beyond the scope of the standard Weisskopf-Wigner approximation. Here we study minimal models of giant emitters coupled to cavit-array waveguides and identify symmetric configurations where the dynamics can be solved exactly. This allows us to capture the emergence of bound states both inside and outside the photonic continuum, and to demonstrate the possibility of engineering their coherent superpositions. Our results provide analytical insight into non-Markovian light-matter interaction and suggest a feasible implementation using superconducting circuit platforms.