Quantum trajectories, interference, and state localisation in dephasing assisted quantum transport

Dephased quantum transport of excitations occurs when energetic fluctuations in a system are sufficient to suppress the built-up of coherent amplitudes. While this has been extensively studied in many different systems, a unified and comprehensive understanding of quantum assisted transport via on-site and coupling-induced dephasing processes is lacking. The aim of the present work is to present a simple and unified understanding of the role of these two key dephasing processes in dephasing assisted transport. Our work explicitly links continuous dephasing to classical and quantum transitions. We present a natural quantum trajectories explanation of how different coupling and dephasing terms alter the diffusion rate of excitations and how this is impacted by the onset of Anderson localized eigenstates. Our results provide insight in understanding quantum transport in molecular semiconductors, artificial lattices and quantum features of excitonic solids.