Mutual information and electron correlation in momentum space

Abstract

Mutual information and information entropies in momentum space are proposed as measures of the non-local aspects of information. Singlet and triplet state members of the helium isoelectronic series are employed to examine Coulomb and Fermi correlation, and their manifestations, in both the position and momentum space mutual information measures. The triplet state measures exemplify that the magnitude of the spatial correlations relative to the momentum correlations, depends on, and may be controlled by the strength of the electronic correlation. Examination of one and two-electron Shannon entropies in the triplet state series yields a crossover point, which is characterized by a localized momentum density. The mutual information density in momentum space illustrates that this localization is accompanied by strong correlation at small values of $p$.

21 pages, 8 figures

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Cited by in corpus (7)

• Characteristic features of the Shannon information entropy of dipolar Bose-Einstein condensates
• Coulomb Correlation and Information Entropies in Confined Helium-Like Atoms
• On the correlation measure of two-electron systems
• Higher-order statistical correlations and mutual information among particles in a quantum well
• Shannon entropies of atomic structure factors, off-diagonal order and electron correlation
• The role of interparticle interaction and environmental coupling in a two-particle open quantum system
• Properties of nonfreeness: an entropy measure of electron correlation