Identifying quantum topological phases through statistical correlation

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Date
2011-03-14
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Publisher
American Physical Society
Abstract

We theoretically examine the use of a statistical distance measure, the indistinguishability, as a generic tool for the identification of topological order. We apply this measure to the toric code and two fractional quantum Hall models. We find that topologically ordered states can be identified with the indistinguishability for both models. Calculations with the indistinguishability also underscore a key distinction between symmetries that underlie topological order in the toric code and quantum Hall models.

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Keywords
paired hall state, landau-levels, excitations, liquid, anyons, fluid, level, order, size, Physics
Citation
Wang, Hao ; Bauer, B. ; Troyer, M. ; et al., Mar 14, 2011. "Identifying quantum topological phases through statistical correlation," PHYSICAL REVIEW B 83(11): 115119. DOI: 10.1103/PhysRevB.83.115119