Counting statistics of collective photon transmissions

We theoretically study cooperative effects in the steady-state transmission of photons through a medium of NN radiators. Using methods from quantum transport, we find a cross-over in scaling from NN to N2N2 in the current and to even higher powers of NN in the higher cumulants of the photon counting statistics as a function of the tunable source occupation. The effect should be observable for atoms confined within a nano-cell with a pumped optical cavity as photon source.

► Super-radiance transfers to super-transmittance in steady-state transport.
► Higher cumulants are much more sensitive indicators for collective behavior than the first cumulant.
► Effects should be measurable by pumped-cavity experiment.