“…Collective long-range interactions have shown their import in many phenomena such as coherent forward scattering [2,3], the collective Lamb shift [4], fault-tolerant quantum computation [5], laser cooling [6], and homogeneous line-broadening [7]. The study of collective effects and their role in transition lines is of particular importance for the implementation of highly accurate atomic clocks [8][9][10][11][12], where achieving narrow resonance lines is essential. As the quest for extremely accurate atomic clocks progresses, an understanding of the plethora of physical processes in cold atomic gasses, such as density dependent line-broadening [8], will need to be understood using models that extend the classical theories of line-broadening, since these models mainly rely on local interactions [13][14][15].…”