Exact many-body quantum scar states with topological properties in dimensions 1, 2, and 3

ORAL

Abstract

We provide a general construction of exact excited states in a class of certain non-integrable conserved quantum many-body Hamiltonians. These states have area law entanglement entropy, while they are spectrally embedded in states with volume law scaling. Our construction applies to models in arbitrary dimensions, and we exemplify it for scar states with properties usually associated to gapped ground states of symmetry protected topological phases or topologically ordered phases of matter, including the respective degeneracies.

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Presenters

  • Seulgi Ok

    University of Zurich

Authors

  • Seulgi Ok

    University of Zurich

  • Kenny Choo

    University of Zurich, Physik Institut, University of Zurich

  • Christopher M Mudry

    Paul Scherrer Institute, Condensed Matter Theory Group, Paul Scherrer Institute

  • Claudio Castelnovo

    Cavendish Laboratory, University of Cambridge, TCM, University of Cambridge, Dept of Physics, University of Cambridge, University of Cambridge, Physics, Cambridge University

  • Claudio Chamon

    Physics Department, Boston University, Boston University, Physics, Boston University

  • Titus Neupert

    University of Zurich, Physics, University of Zurich, Physik Institut, University of Zurich