Breaking the entanglement barrier: Tensor network simulation of quantum transport

Michael Zwolak^1*

¹Biophysical and Biomedical Measurement Group, NIST, Gaithersburg, MD, USA

* Presenter:Michael Zwolak, email:mpz@nist.gov

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. I will discuss all three of these pillars of accurate simulation of many-body quantum transport, as well as current challenges and applications.

Keywords: Quantum transport, Tensor networks, Many-body physics, Computational physics, Open quantum systems