Detecting topological order in a ground state wave function

Details Detecting topological order in a ground state wave function Detecting topological order in a ground state wave function

2005-10-23

arxiv.org/abs/cond-mat/0510613v2

Phys. Rev. Lett., 96, 110405 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures, homepage http://dao.mit.edu/~wen

Scientific paper

10.1103/PhysRevLett.96.110405

A large class of topological orders can be understood and classified using the string-net condensation picture. These topological orders can be characterized by a set of data (N, d_i, F^{ijk}_{lmn}, \delta_{ijk}). We describe a way to detect this kind of topological order using only the ground state wave function. The method involves computing a quantity called the ``topological entropy'' which directly measures the quantum dimension D = \sum_i d^2_i.

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