A coupled array of N identical cavities, each of which contains a five-level atom is investigated. The results show that the atoms via the exchange of virtual photons can be effectively equal to spin 1 Heisenberg model under certain conditions. By tuning the laser fields, the parameters of the effective Hamiltonian can be controlled individually.
@article{arxiv.0908.0807,
title = {An effective spin-1 Heisenberg chain in coupled cavities},
author = {Ling Zhou and Wei Bin Yan and Xin Yu Zhao},
journal= {arXiv preprint arXiv:0908.0807},
year = {2015}
}