Counting statistics of collective photon transmissions

Abstract

We theoretically study cooperative effects in the steady-state transmission of photons through a medium of $N$ radiators. Using methods from quantum transport, we find a cross-over in scaling from $N$ to $N^2$ in the current and even higher powers of $N$ 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.

extended results, 9 pages, 2 figures, to appear in Annals of Physics

References in corpus (7)

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• Equation of motion method for Full Counting Statistics: Steady state superradiance
• Transport through a quantum critical system: A thermodynamically consistent approach
• Nonequilibrium steady state transport of collective-qubit system in strong coupling regime
• Unifying quantum heat transfer and superradiant signature in a nonequilibrium collective-qubit system: a polaron-transformed Redfield approach
• Steady state current fluctuations and dynamical control in a nonequilibrium single-site Bose-Hubbard system
• Thermal conductance at the superradiant phase transition in the quantum Rabi model
• Quantum heat transport and effects of quantum thermal devices in noncommuting coupled spins