We generalize the topological entanglement entropy to a family of topological Reacutenyi entropies parametrized by a parameter alpha, in an attempt to find new invariants for distinguishing topologically ordered phases. We show that, surprisingly, all topological Reacutenyi 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.
Topological Entanglement Renyi Entropy and Reduced Density Matrix Structure / Flammia, St; Hamma, A; Hughes, Tl; Wen, Xg. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 103:26(2009). [10.1103/PhysRevLett.103.261601]
Topological Entanglement Renyi Entropy and Reduced Density Matrix Structure
Hamma A;
2009
Abstract
We generalize the topological entanglement entropy to a family of topological Reacutenyi entropies parametrized by a parameter alpha, in an attempt to find new invariants for distinguishing topologically ordered phases. We show that, surprisingly, all topological Reacutenyi 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.File | Dimensione | Formato | |
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