Detecting Topological Order in a Ground State Wave Function

Michael Levin and Xiao-Gang Wen
Phys. Rev. Lett. 96, 110405 – Published 24 March 2006

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=idi2.

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  • Received 25 October 2005

DOI:https://doi.org/10.1103/PhysRevLett.96.110405

©2006 American Physical Society

Authors & Affiliations

Michael Levin and Xiao-Gang Wen

  • Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

See Also

Topological Entanglement Entropy

Alexei Kitaev and John Preskill
Phys. Rev. Lett. 96, 110404 (2006)

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Vol. 96, Iss. 11 — 24 March 2006

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