Topological many-body scar states in dimensions one, two, and three

Abstract

Scars are highly excited quantum many-body states which are protected from thermalization, violating the strong eigenstate thermalization hypothesis. However, analytical studies of such states are intrinsically hard, as they necessarily occur in in non-integrable models. This paper provides a general recipe to deform topologically ordered ground states into topologically degenerate scar states, which have exact analytical expressions.