Physics behind the minimum of relative entropy measures for correlations
Strongly Correlated Electrons
2015-06-15 v2 Materials Science
Statistical Mechanics
Quantum Physics
Abstract
The relative entropy of a correlated state and an uncorrelated reference state is a reasonable measure for the degree of correlations. A key question is however which uncorrelated state to compare to. The relative entropy becomes minimal for the uncorrelated reference state that has the same one-particle density matrix as the correlated state. Hence, this particular measure, coined nonfreeness, is unique and reasonable. We demonstrate that for relevant physical situations, such as finite temperatures or a correlation enhanced orbital splitting, other choices of the uncorrelated state, even educated guesses, overestimate correlations.
Keywords
Cite
@article{arxiv.1303.2051,
title = {Physics behind the minimum of relative entropy measures for correlations},
author = {K. Held and N. Mauser},
journal= {arXiv preprint arXiv:1303.2051},
year = {2015}
}
Comments
4 pages, 1 figure, final version as to appear European Physical Journal B