Quantum transport in non-Markovian dynamically disordered photonic lattices

We show theoretically that the dynamics of a driven quantum harmonic oscillator subject to nondissipative noise is formally equivalent to the single-particle dynamics propagating through an experimentally feasible dynamically disordered photonic network. Using this correspondence, we find that noise-assisted energy transport occurs in this network and if the noise is Markovian or delta correlated, we can obtain an analytical solution for the maximum amount of transferred energy between all network's sites at a fixed propagation distance. Beyond the Markovian limit, we further consider two different types of non-Markovian noise and show that it is possible to have efficient energy transport for larger values of the dephasing rate.