To use all functions of this page, please activate cookies in your browser.

my.chemeurope.com

With an accout for my.chemeurope.com you can always see everything at a glance – and you can configure your own website and individual newsletter.

- My watch list
- My saved searches
- My saved topics
- My newsletter

## Topological entropy (in physics)The topological entanglement entropy, usually denoted by ## Additional recommended knowledgeGiven a topologically ordered state, the topological entropy can be extracted from the asymptotic behavior of the Von Neumann entropy measuring the quantum entanglement between a spatial block and the rest of the system. The entanglement entropy of a simply connected region of boundary length The subleading constant term is the topological entanglement entropy. The topological entanglement entropy is equal to the logarithm of the total quantum dimension of the quasiparticle excitations of the state. For example, the simplest fractional quantum Hall states, the Laughlin states at filling fraction 1/
## ReferencesIntroduction of the quantity: - Topological Entanglement Entropy, Alexei Kitaev and John Preskill, Phys. Rev. Lett.
**96**, 110404 (2006). - Detecting Topological Order in a Ground State Wave Function, Michael Levin and Xiao-Gang Wen, Phys. Rev. Lett.
**96**, 110405 (2006).
Calculations for specific topologically ordered states: - M. Haque, O. Zozulya and K. Schoutens; Phys. Rev. Lett.
**98**, 060401 (2007).
- S. Furukawa and G. Misguich, Phys. Rev. B
**75**, 214407 (2007).
Categories: Condensed matter physics | Statistical mechanics |

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Topological_entropy_(in_physics)". A list of authors is available in Wikipedia. |