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Absence of localization in interacting spin chains with a discrete symmetry

Author

Listed:
  • Benedikt Kloss

    (Flatiron Institute)

  • Jad C. Halimeh

    (Ludwig-Maximilians-Universität München
    Munich Center for Quantum Science and Technology (MCQST))

  • Achilleas Lazarides

    (Loughborough University)

  • Yevgeny Bar Lev

    (Ben-Gurion University of the Negev)

Abstract

Novel paradigms of strong ergodicity breaking have recently attracted significant attention in condensed matter physics. Understanding the exact conditions required for their emergence or breakdown not only sheds more light on thermalization and its absence in closed quantum many-body systems, but it also has potential benefits for applications in quantum information technology. A case of particular interest is many-body localization whose conditions are not yet fully settled. Here, we prove that spin chains symmetric under a combination of mirror and spin-flip symmetries and with a non-degenerate spectrum show finite spin transport at zero total magnetization and infinite temperature. We demonstrate this numerically using two prominent examples: the Stark many-body localization system (Stark-MBL) and the symmetrized many-body localization system (symmetrized–MBL). We provide evidence of delocalization at all energy densities and show that delocalization persists when the symmetry is broken. We use our results to construct two localized systems which, when coupled, delocalize each other. Our work demonstrates the dramatic effect symmetries can have on disordered systems, proves that the existence of exact resonances is not a sufficient condition for delocalization, and opens the door to generalization to higher spatial dimensions and different conservation laws.

Suggested Citation

  • Benedikt Kloss & Jad C. Halimeh & Achilleas Lazarides & Yevgeny Bar Lev, 2023. "Absence of localization in interacting spin chains with a discrete symmetry," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-39468-4
    DOI: 10.1038/s41467-023-39468-4
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    References listed on IDEAS

    as
    1. Marko Žnidarič & Martin Horvat, 2013. "Transport in a disordered tight-binding chain with dephasing," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(2), pages 1-11, February.
    2. W. Morong & F. Liu & P. Becker & K. S. Collins & L. Feng & A. Kyprianidis & G. Pagano & T. You & A. V. Gorshkov & C. Monroe, 2021. "Observation of Stark many-body localization without disorder," Nature, Nature, vol. 599(7885), pages 393-398, November.
    3. 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.
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