Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5 Canada.
Phys Rev Lett. 2009 Dec 31;103(26):261601. doi: 10.1103/PhysRevLett.103.261601. Epub 2009 Dec 28.
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.
我们将拓扑纠缠熵推广到一个由参数α参数化的拓扑 Renyi 熵族，试图找到用于区分拓扑有序相的新不变量。我们惊奇地发现，对于所有非手性拓扑相，所有拓扑 Renyi 熵在 α 取任意值时都是相同的。这种独立性表明，拓扑有序基态波函数的约化密度矩阵具有某种简单的结构，并且不能从纠缠谱中提取额外的通用信息。
