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Tensor networks for many-body quantum transport

ORAL

Abstract

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)

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Publication: [1] Marek M. Rams and Michael Zwolak, Phys. Rev. Lett. 124, 137701 (2020)<br>[2] Gabriela Wójtowicz, Justin E. Elenewski, Marek M. Rams, and Michael Zwolak, Phys. Rev. A 101, 050301(R) (2020)<br>[3] Michael Zwolak, J. Chem. Phys. 153, 224107 (2020)<br>[4] Michael Zwolak, arXiv:2009.04466 (2020)<br>[5] Justin E. Elenewski, Gabriela Wójtowicz, Marek M. Rams, and Michael Zwolak, J. Chem. Phys. 155, 124117 (2021)<br>[6] Gabriela Wójtowicz, Justin E. Elenewski, Marek M. Rams, and Michael Zwolak, Phys. Rev. B 104, 165131 (2021)<br>[7] Gabriela Wójtowicz, Archak Purkayastha, Michael Zwolak, Marek M. Rams, arXiv:2210.04890 (2022)

Presenters

  • Michael P Zwolak

    National Institute of Standards and Technology

Authors

  • Michael P Zwolak

    National Institute of Standards and Technology

  • Gabriela M Wojtowicz

    Jagiellonian University

  • Justin E Elenewski

    University of Maryland, College Park

  • Marek M Rams

    Jagellonian Univ