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Topological Entanglement Rényi Entropy and Reduced Density Matrix Structure

Author(s)
Flammia, Steven T.; Hamma, Alioscia; Hughes, Taylor L.; Wen, Xiao-Gang
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Abstract
We generalize the topological entanglement entropy to a family of topological Rényi entropies parametrized by a parameter α, 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 α 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.
Date issued
2009-12
URI
http://hdl.handle.net/1721.1/56262
Department
Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Flammia, Steven T. et al. “Topological Entanglement Rényi Entropy and Reduced Density Matrix Structure.” Physical Review Letters 103.26 (2009): 261601. © 2009 The American Physical Society
Version: Final published version
ISSN
0031-9007

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