Topological order and topological entropy in classical systems

Details Topological order and topological entropy in classical systems Topological order and topological entropy in classical systems

2006-10-11

arxiv.org/abs/cond-mat/0610316v2

Phys. Rev. B 76, 174416 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

(5 pages, 1 figure) v2: minor changes

Scientific paper

10.1103/PhysRevB.76.174416

We show that the concept of topological order, introduced to describe ordered quantum systems which cannot be classified by broken symmetries, also applies to classical systems. Starting from a specific example, we show how to use pure state density matrices to construct corresponding thermally mixed ones that retain precisely half the original topological entropy, a result that we generalize to a whole class of quantum systems. Finally, we suggest that topological order and topological entropy may be useful in characterizing classical glassy systems.

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