Fully quantum-kinetic theory of the steady-state cooperative photoluminescence from two near-identical emitters

We have developed a theory of cooperative photoluminescence from two closely spaced particles using the density matrix method. The theory provides simulations of the photoluminescence excitation and emission spectra by nonidentical quantum emitters entangled by the dipole–dipole interaction in presence of a cw laser beam. The excitation spectra are shown to be consistent with all known experiments to date with pairs of coherently coupled organic molecules in thin solid layers. The simulations were performed with the use of the Bogoliubov–Born–Green–Kirkwood–Yvon (BBGKY) hierarchies for reduced density matrices and correlation operators of the quantum emitters and photonic subsystems. This method gives a straightforward way to describe the dipole–dipole coupling and entanglement of the emitters. We have also calculated the emission spectra to demonstrate the expected spectral patterns.