Dark states and supertransport in quantum photosynthesis

We consider a model of quantum photosynthesis with the following properties: Degeneracy in the light-harvesting system, Excitons in chromophores interact with three quantum fields (photons, phonons, sink). We show that degeneracy may lead to the supertransport effect (coherent amplification of the transport). Interaction with photons and phonons in our model is given by non-parallel vectors of bright states. Therefore bright photonic states can be dark phononic states. This leads to generation of non-decaying dark phononic states. We discuss the relation to experiments with photonic echo in light harvesting systems (this effect of existence of photonic echo is known as quantum photosynthesis).