Cooperative non-Markovian emission in a single-band waveguide

We investigate the collective radiative dynamics of two quantum emitters emitting two bosons in a 1D single-band waveguide. While this problem is normally solved approximately, with the Markovian approximation being the most extended, we solve the system exactly and analytically. This opens up the possibility of exploring, without relying on numerical methods, different topics such as the connection between superradiance and synchronization, the formation of multiemitter-multiexcitation bound states (states akin to a molecule of light), or decay-induced entanglement.