Mutual information in classical spin models
Statistical Mechanics
2011-11-30 v3 Quantum Physics
Abstract
The total many-body correlations present in finite temperature classical spin systems are studied using the concept of mutual information. As opposed to zero-temperature quantum phase transitions, the total correlations are not maximal at the phase transition, but reach a maximum in the high temperature paramagnetic phase. The Shannon and Renyi mutual information in both Ising and Potts models in 2 dimensions are calculated numerically by combining matrix product states algorithms and Monte Carlo sampling techniques.
Cite
@article{arxiv.1011.4421,
title = {Mutual information in classical spin models},
author = {Johannes Wilms and Matthias Troyer and Frank Verstraete},
journal= {arXiv preprint arXiv:1011.4421},
year = {2011}
}