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Hilbert Space Fragmentation from Generalized Symmetries

feeds.aps.org · By Thea Budde, Marina Kristć Marinković & Joao C. Pinto Barros ·

The Brief

  • Hilbert space fragmentation is described as exponential growth in the number of dynamically disconnected Krylov sectors with system size.
  • Fragmentation is taken as evidence of ergodicity breaking, since conventional thermalization arguments may fail.
  • The paper, published in an APS journal, is by Thea Budde, Marina Kristić Marinković, and Joao C. Pinto Barros.

Why it matters

The work relates fragmentation of Hilbert space to generalized symmetries, offering a framework for understanding when quantum systems fail to thermalize, which matters for researchers studying ergodicity and many-body quantum dynamics.

Who’s affected

  • condensed matter and quantum many-body physicists
  • researchers studying ergodicity breaking and thermalization
  • #hilbert space fragmentation
  • #generalized symmetries
  • #ergodicity breaking
  • #krylov sectors
  • #quantum many-body

Author(s): Thea Budde, Marina Kristć Marinković, and Joao C. Pinto Barros Hilbert space fragmentation refers to exponential growth in the number of dynamically disconnected Krylov sectors with system size. It is taken as evidence of ergodicity breaking, since conventional…

Timeline

  1. Paper reported by feeds.aps.org

  2. feeds.aps.org

    Hilbert Space Fragmentation from Generalized Symmetries

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    Hilbert Space Fragmentation from Generalized Symmetries – The Morning Science