Detecting topological order in a ground state wave function

Michael Levin, Xiao Gang Wen

Research output: Contribution to journalArticlepeer-review

1206 Scopus citations

Abstract

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,Flmnijk,δijk). 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=Σidi2.

Original languageEnglish
Article number110405
JournalPhysical Review Letters
Volume96
Issue number11
DOIs
StatePublished - 30 Mar 2006
Externally publishedYes

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