Computer Simulation of Atomic Excitation Conductivity Using the Quantum Master Equation

Abstract

The conductivity of excitations in short chains of optical cavities containing two-level atoms capable of exchanging photons is considered. The Jaynes–Cummings–Hubbard (JCH) model is used taking into account the dephasing noise effect. Two counterintuitive quantum effects are reproduced for this model: the increase in conductivity by the dephasing noise (DAT effect) and the quantum bottleneck effect, which is a paradoxical slump in conductivity with the enhancement of the excitation transfer to the runoff. Using numerical simulation, we reveal an interesting relationship between those two effects. In particular, we found that the dephasing assisted transport (DAT) effect occurs only at the nonoptimal values of the runoff and inflow, i.e., in conditions where the conductivity is limited by the quantum bottleneck effect.