Detecting topological order in a ground state wave function

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, di, F(lmn)(ijk), delta(ijk). We describe a way to detect this kind of topological order using only the ground state wave...

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Veröffentlicht in:Physical review letters 2006-03, Vol.96 (11), p.110405-110405, Article 110405
Hauptverfasser: Levin, Michael, Wen, Xiao-Gang
Format: Artikel
Sprache:eng
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Zusammenfassung: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, di, F(lmn)(ijk), 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 total quantum dimension D= Sum(id2i).
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.96.110405