English

Topological many-body scar states in dimensions 1, 2, and 3

Other Condensed Matter 2019-12-12 v1 Strongly Correlated Electrons

Abstract

We propose an exact construction for atypical excited states of a class of non-integrable quantum many-body Hamiltonians in one dimension (1D), two dimensions (2D), and three dimensins (3D) that display area law entanglement entropy. These examples of many-body `scar' states have, by design, other properties, such as topological degeneracies, usually associated with the gapped ground states of symmetry protected topological phases or topologically ordered phases of matter.

Keywords

Cite

@article{arxiv.1901.01260,
  title  = {Topological many-body scar states in dimensions 1, 2, and 3},
  author = {Seulgi Ok and Kenny Choo and Christopher Mudry and Claudio Castelnovo and Claudio Chamon and Titus Neupert},
  journal= {arXiv preprint arXiv:1901.01260},
  year   = {2019}
}

Comments

4+ pages, 5 pages