Shannon Information Entropy in Position Space for Two-Electron Atomic Systems

Abstract

Entropic measures provide analytic tools to help us understand correlation in quantum systems. In our previous work, we calculated linear entropy and von Neumann entropy as entanglement measures for the ground state and lower lying excited states in helium-like systems. In this work, we adopt another entropic measure, Shannon entropy, to probe the nature of correlation effects. Besides the results of the Shannon entropy in coordinate space for the singlet ground states of helium-like systems including positronium negative ion, hydrogen negative ion, helium atom, and lithium positive ion, we also show results for systems with nucleus charge around the ionization threshold.

Four tables, 1 figure, 13 pages

References in corpus (3)

• Information Entropy, Information Distances and Complexity in Atoms
• Quantification of entanglement entropy in helium by the Schmidt-Slater decomposition method
• Quantification of Entanglement Entropies for Doubly Excited States in Helium

Cited by in corpus (7)

• Shannon entropies and Fisher information of K-shell electrons of neutral atoms
• Coulomb Correlation and Information Entropies in Confined Helium-Like Atoms
• On the correlation measure of two-electron systems
• Dynamics of Correlations and Entanglement Generation in Electron-Molecule Inelastic Scattering
• Phase space distributions in information theory
• Helium-like ions in $d$-dimensions: analyticity and generalized ground state Majorana solutions
• Shannon and Rényi entropies of molecular densities: insights into extensivity and the incomplete description of electron correlation