Tensor networks for many-body quantum transport

Tensor networks are making rapid progress in the efficient simulation of open quantum systems with non-Markovian interactions with particle reservoirs or heat baths. One such scenario is quantum transport through impurities, where external reservoirs-the environment-drive particles through a junction region, which requires both a machinery to handle many-body interactions (tensor networks), a representation of the reservoirs, and a computational paradigm that properly embodies the physical scenario. Exploiting all three pillars enables simulating many-body transport in the presence of an extensive, non-Markovian electronic reservoirs [1,2].

[1] Marek M. Rams and Michael Zwolak, Phys. Rev. Lett. 124, 137701 (2020)

[2] Gabriela Wójtowicz, Justin E. Elenewski, Marek M. Rams, and Michael Zwolak, Phys. Rev. A 101, 050301(R) (2020)