Regensburg 2013 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 25: Correlated Electrons: Low-Dimensional Systems - Models 3

TT 25.4: Vortrag

Dienstag, 12. März 2013, 10:15–10:30, H9

Renyi entropies of classical loop gases and string nets — •Mascha Baedorf, Maria Hermanns, and Simon Trebst — Universitaet zu Koeln, Germany

Since the seminal work of Shannon the concept of entropy is closely connected to the information content of a many-body state. This link has been widely employed in recent years to characterize quantum many-body states whose defining characteristic eludes a description in terms of correlation functions and a local order parameter. Probably the most prominent example of the latter are topologically ordered states, for which the so-called topological entanglement entropy provides an unambiguous identification and partial characterization of the non-local topological order. Here we discuss the classical analog of the Renyi entropy and via extensive numerical simulations demonstrate its ability to positively identify topological order in classical loop gas and possibly string net states.