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Phys. Rev. Lett. 96, 110405 (2006) [4 pages]

Detecting Topological Order in a Ground State Wave Function

Michael Levin and Xiao-Gang Wen
Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
Received 25 October 2005; published 24 March 2006

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<sub>lmn</sub><sup>ijk</sup>,deltaijk). 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=[summation]id<sub>i</sub><sup>2</sup>.

©2006 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.96.110405
DOI: 10.1103/PhysRevLett.96.110405
PACS: 11.15.-q; 03.65.Ud; 11.25.-w; 71.10.-w
  • 11.15.-q
    Gauge field theories
  • 03.65.Ud
    Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)
  • 11.25.-w
    Theory of strings and branes
  • 71.10.-w
    Theories and models of many electron systems in condensed matter
  • YEAR: 2006
KEYWORDS: entropy, wave functions, ground states, quantum entanglement, fermion systems

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