Topological entanglement Rényi entropy and reduced density matrix structure.
We generalize the topological entanglement entropy to a family of topological Rényi entropies parametrized by a parameter alpha, in an attempt to find new invariants for distinguishing topologically ordered phases. We show that, surprisingly, all topological Rényi entropies are the same, independent of alpha for all nonchiral topological phases. This independence shows that topologically ordered ground-state wave functions have reduced density matrices with a certain simple structure, and no additional universal information can be extracted from the entanglement spectrum.
Flammia
Steven T
ST
Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5 Canada.
Hamma
Alioscia
A
Hughes
Taylor L
TL
Wen
Xiao-Gang
XG