Topological many-body scar states in dimensions 1, 2, and 3
arXiv:1901.01260 · doi:10.1103/PhysRevResearch.1.033144
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.
4+ pages, 5 pages