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.

*S. Ok and T. Neupert were supported by the the Swiss National Science Foundation (grant number: 200021 169061).
K. Choo and T. Neupert were supported by the European Unions Horizon 2020 research and innovation program (ERC-StG-Neupert-757867-PARATOP).

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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