Atomic waveguide QED with atomic dimers

Quantum emitters coupled to a waveguide are paradigm of quantum optics, whose essential properties described by electrodynamics (QED). We study the possibility observing typical features conventional QED scenario in system where role is played one-dimensional subwavelength atomic array. For emitters, we propose use antisymmetric states dimers---a pair closely spaced atoms---as effective two-level systems, which significantly reduces effect free-space spontaneous emission. solve dynamics both when dimer frequency lies inside and it outside band modes Along with well-known phenomena collective emission into guided waveguide-mediated long-range dimer-dimer interactions, uncover significant non-Markovian corrections arise from finiteness array through retardation effects.