Nonfreeness and related functionals for measuring correlation in many-fermion states
Abstract
This article is a brief review of "nonfreeness" and related measures of "correlation" for many-fermion systems. The many-fermion states we deem "uncorrelated" are the gauge-invariant quasi-free states. Uncorrelated states of systems of finitely many fermions we call simply "free" states. Slater determinant states are free; all other free states are "substates" of Slater determinant states or limits of such. The nonfreeness of a many-fermion state equals the minimum of its entropy relative to all free states. Correlation functionals closely related to nonfreeness can be defined in terms of R\'enyi entropies; nonfreeness is the one that uses Shannon entropy. These correlation functionals all share desirable additivity and monotonicity properties, but nonfreeness has some additional attractive properties.
Keywords
Cite
@article{arxiv.1510.04573,
title = {Nonfreeness and related functionals for measuring correlation in many-fermion states},
author = {Alex D. Gottlieb and Norbert J. Mauser},
journal= {arXiv preprint arXiv:1510.04573},
year = {2017}
}