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TT: Fachverband Tiefe Temperaturen

TT 101: Low-Dimensional Systems: Topological Order 2 (jointly with DS, HL, MA, O)

TT 101.1: Vortrag

Donnerstag, 19. März 2015, 15:00–15:15, H 3010

Topological entropy in the classical toric code model — •Johannes Helmes and Simon Trebst — Institut für Theoretische Physik, Universität zu Köln, Germany

For interacting quantum many-body systems the study of entanglement entropies is well established to analyze the fundamental nature of their ground states. In particular, the O(1) correction to the prevalent boundary-law can be used to identify topological order. However, not only in quantum systems, but also in classical systems we can track topological contributions to the classical entropy by employing an analogous approach.

We report results for the classical toric code model in a magnetic field which has a topologically protected zero field degeneracy. We show, how the classical entropy tracks the break-down of the classical topological order upon increasing the external field or temperature. In more technical terms, we apply the replica technique to calculate Renyi entropies from classical Monte Carlo simulations using a newly developed update scheme for efficient loop-gas sampling.