Detecting topological order in a ground state wave function.

By Michael Levin, X. Wen. Physical Review Letters, 2005

1,681 citations recorded by the source corpus.

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).

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1740360b10784fc3937a19c2ae55c0b6cec4edbc

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In Atomic and Molecular Physics, and Optics

  1. T. Takayanagi
  2. A. Nahum
  3. R. Myers
  4. Ashvin Vishwanath
  5. D. Harlow
  6. T. Nishioka
  7. D. Stanford
  8. V. Khemani

In Statistical and Nonlinear Physics

  1. R. Myers
  2. T. Takayanagi
  3. D. Harlow
  4. D. Stanford
  5. V. Hubeny
  6. T. Nishioka
  7. T. Faulkner
  8. M. Rangamani

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