Identifying Quantum Topological Phases Through Statistical Correlation

Details Identifying Quantum Topological Phases Through Statistical Correlation Identifying Quantum Topological Phases Through Statistical Correlation

2010-09-23

arxiv.org/abs/1009.4692v2

Phys. Rev. B 83,115119 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 6 figures. Revised section III and added more references

Scientific paper

10.1103/PhysRevB.83.115119

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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