We calculated the exciton populations for this model, setting V x LC,a = V y LC,b = 5∆ϵ LC /4 and V y LC,a = V x LC,b = ∆ϵ LC /4. We find that switching the relative phase, θ = θ a = θ b , between 0 and π/2 almost completely blocks the flux to the orange and green paths, respectively.