Berlin 2015 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 72: Low-Dimensional Systems: Poster Session

TT 72.1: Poster

Wednesday, March 18, 2015, 15:00–18:00, Poster B

Detecting classical phase transitions using higher order Renyi entropies — •Wilfried Michel, Peter Broecker, and Simon Trebst — University of Cologne, Germany

Entanglement entropies have become a well-established tool to describe and characterize the ground-state properties of quantum many-body systems. In particular, these entropies allow to positively identify topological order and to detect and classify phase transitions even in the absence of any order parameter.

Though classical systems show no entanglement, one can define similar subsystem entropies that much like in the quantum case provide a generic way to study many features of classical systems. Here we consider so-called Renyi entropies, which are indexed by a positive integer n≥1 where the limiting case of n=1 is the von-Neumann entropy.

In this contribution, we show how to efficiently calculate a series of higher-order Renyi entropies to high accuracy. This series of higher-order Renyi entropies is then used to calculate the classical analogue of the so-called entanglement spectrum using a maximum entropy approach. We illustrate this procedure for a number of classical models, including Ising and dimer models.