Mutual information in classical spin models
Author(s): J. Wilms, M. Troyer, F. Verstraete
Journal: J. Stat. Mech.
DOI Number: 10.1088/1742-5468/2011/10/P10011
Link: Link to publication
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 mutual information and the Renyi mutual information in both Ising and Potts models in two dimensions are calculated numerically by combining matrix product state algorithms and Monte Carlo sampling techniques.Note: http://arxiv.org/abs/1011.4421 File: Link to PDF