Mutual information in classical spin models

Autor(en)

Johannes Wilms, Matthias Troyer, Frank Verstraete

Abstrakt

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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Eidgenössische Technische Hochschule Zürich

Journal

Journal of Statistical Mechanics: Theory and Experiment

Band

2011

Anzahl der Seiten

16

DOI

https://doi.org/10.1088/1742-5468/2011/10/P10011

Publikationsdatum

10-2011

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/8bf4d691-5f6e-43a1-958e-eb0f20868ec7