Computer simulation of atomic excitation conductivity using quantum master equation

We consider the conductivity of excitations in short chains of optical cavities with two-level atoms in the models of JCH type, where either we explicitly take into account the photon jumps between atoms, or is merely a transfer of excitation from atom to atom. In that model, we reproduce two quantum effects using computer simulation: conductivity increase in the presence of dephasing noise (DAT, the effect of dephasing assisted transport) and non-trivial dependence of the conductivity on the intensity of runoff and inflow (quantum bottleneck). Using numrical simulation we found an intresting interplay between those two effects. It was found that DAT effect takes place only in non-optimal values of runoff and inflow, i.e. for those sets of parameters where the conductivity is limited by the “quantum bottleneck” effect.