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Reviving product states in the disordered Heisenberg chain

Author

Listed:
  • Henrik Wilming

    (Leibniz Universität Hannover)

  • Tobias J. Osborne

    (Leibniz Universität Hannover)

  • Kevin S. C. Decker

    (Technische Universität Braunschweig, Institut für Mathematische Physik)

  • Christoph Karrasch

    (Technische Universität Braunschweig, Institut für Mathematische Physik)

Abstract

When a generic quantum system is prepared in a simple initial condition, it typically equilibrates toward a state that can be described by a thermal ensemble. A known exception is localized systems that are non-ergodic and do not thermalize; however, local observables are still believed to become stationary. Here we demonstrate that this general picture is incomplete by constructing product states that feature periodic high-fidelity revivals of the full wavefunction and local observables that oscillate indefinitely. The system neither equilibrates nor thermalizes. This is analogous to the phenomenon of weak ergodicity breaking due to many-body scars and challenges aspects of the current phenomenology of many-body localization, such as the logarithmic growth of the entanglement entropy. To support our claim, we combine analytic arguments with large-scale tensor network numerics for the disordered Heisenberg chain. Our results hold for arbitrarily long times in chains of 160 sites up to machine precision.

Suggested Citation

  • Henrik Wilming & Tobias J. Osborne & Kevin S. C. Decker & Christoph Karrasch, 2023. "Reviving product states in the disordered Heisenberg chain," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-41464-7
    DOI: 10.1038/s41467-023-41464-7
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    References listed on IDEAS

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    1. Sebastian Scherg & Thomas Kohlert & Pablo Sala & Frank Pollmann & Bharath Hebbe Madhusudhana & Immanuel Bloch & Monika Aidelsburger, 2021. "Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    2. Hannes Bernien & Sylvain Schwartz & Alexander Keesling & Harry Levine & Ahmed Omran & Hannes Pichler & Soonwon Choi & Alexander S. Zibrov & Manuel Endres & Markus Greiner & Vladan Vuletić & Mikhail D., 2017. "Probing many-body dynamics on a 51-atom quantum simulator," Nature, Nature, vol. 551(7682), pages 579-584, November.
    3. Yuya O. Nakagawa & Masataka Watanabe & Hiroyuki Fujita & Sho Sugiura, 2018. "Universality in volume-law entanglement of scrambled pure quantum states," Nature Communications, Nature, vol. 9(1), pages 1-8, December.
    4. Berislav Buča & Joseph Tindall & Dieter Jaksch, 2019. "Non-stationary coherent quantum many-body dynamics through dissipation," Nature Communications, Nature, vol. 10(1), pages 1-6, December.
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