Quantum transport in non-Markovian dynamically-disordered photonic lattices

TL;DR

This paper demonstrates that non-Markovian noise can enhance quantum energy transport in photonic lattices, with analytical solutions for Markovian cases and numerical insights for non-Markovian scenarios.

Contribution

It establishes a formal equivalence between driven quantum harmonic oscillators with noise and photonic networks, analyzing energy transport under different noise regimes.

Findings

Noise-assisted energy transport occurs in the network.

Analytical solutions are obtained for Markovian noise.

Non-Markovian noise can improve transport efficiency at higher dephasing rates.

Abstract

We theoretically show that the dynamics of a driven quantum harmonic oscillator subject to non-dissipative 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.