We generalize time-evolving matrix product operators method to nonequilibrium quantum transport problems. The nonequilibrium current is obtained via numerical differentiation of the generating functional which is represented as a tensor network. The approach is numerically exact and the non-Markovian effects are fully taken into account. In the transport process, a part of the heat that flows out from a bath flows into the system and other baths, and the rest is stored in the system-bath coupling part. We take the spin-boson model as a demonstration to show the details of this heat flowing and the establishment of a steady current between two baths.
@article{arxiv.2207.00864,
title = {Heat Current in Non-Markovian Open Systems},
author = {Ruofan Chen},
journal= {arXiv preprint arXiv:2207.00864},
year = {2023}
}