Computing quench dynamics for thermalizing quantum-many body systems in the influence matrix approach

ORAL

Abstract

Efficient simulation of quantum many-body systems is the central challenge in the field of computational quantum physics. Recently, an approach based on Feynman and Vernon's influence functional was proposed which allows the computation of local dynamics in interacting systems. In contrast to conventional methods its efficiency relies on the low amount of temporal entanglement instead of spatial entanglement. In this talk we will discuss different types of systems and dynamical regimes where this approach can be sucessfully employed. In particular we analyze thermalizing and many-body localized dynamics in one dimensional systems, as well as transport in interacting heisenberg chains. Finally we will show how to tackle 2D systems using these tools.

*This work was supported by the Swiss National Science Foundation and by the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation program (Grant Agreement No. 864597).

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Publication: Alessio Lerose, Michael Sonner, and Dmitry A. Abanin. "Influence matrix approach to many-body Floquet dynamics." Physical Review X 11.2 (2021): 021040.
Michael Sonner, Alessio Lerose, and Dmitry A. Abanin. "Influence functional of many-body systems: temporal entanglement and matrix-product state representation." arXiv preprint arXiv:2103.13741 (2021).
Michael Sonner, Alessio Lerose, and Dmitry A. Abanin. "Characterizing many-body localization via exact disorder-averaged quantum noise." arXiv preprint arXiv:2012.00777 (2020).
Alessio Lerose, Michael Sonner, and Dmitry A. Abanin. "Scaling of temporal entanglement in proximity to integrability." arXiv preprint arXiv:2104.07607 (2021).
Alessio Lerose, Michael Sonner, and Dmitry A. Abanin. "Overcoming entanglement barrier in quantum many-body dynamics" (in preparation)
Julian Thoenniss, Alessio Lerose, Michael Sonner, and Dmitry A. Abanin (in preparation)

Presenters

  • Michael Sonner

    • Univ of Geneva
    • University of Geneva

Authors

  • Michael Sonner

    • Univ of Geneva
    • University of Geneva

  • Alessio Lerose

    • Univ of Geneva

  • Julian Thoenniss

    • University of Geneva

  • Dmitry A Abanin

    • University of Geneva