Scaling law for topologically ordered systems at finite temperature



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Iblisdir, I. and Pérez García, David and Aguado, M. and Pachos, J. (2009) Scaling law for topologically ordered systems at finite temperature. Physical Review B, 79 . pp. 134303-1. ISSN 1098-0121

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Understanding the behavior of topologically ordered lattice systems at finite temperature is a way of assessing their potential as fault-tolerant quantum memories. We compute the natural extension of the topological entanglement entropy for T>0, namely, the subleading correction I(topo) to the area law for mutual information. Its dependence on T can be written, for Abelian Kitaev models, in terms of information-theoretical functions and readily identifiable scaling behavior, from which the interplay between volume, temperature, and topological order, can be read. These arguments are extended to non-Abelian quantum double models, and numerical results are given for the D(S(3)) model, showing qualitative agreement with the Abelian case.

Item Type:Article
Subjects:Sciences > Physics > Mathematical physics
ID Code:17749
Deposited On:17 Jan 2013 09:56
Last Modified:04 Dec 2014 08:43

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