Two coupled Jaynes-Cummings cells
  We develop a theoretical framework to evaluate the energy spectrum, stationary states, and dielectric susceptibility of two Jaynes-Cummings systems coupled together by the overlap of their respective longitudinal field modes, and we solve and characterize the combined system for the case that the two atoms and two cavities share a single quantum of energy. 
Peng Xue, Zbigniew Ficek and Barry C. Sanders
quant-ph