Quantum-Information Theoretic Properties of Nuclei and Trapped Bose Gases

Abstract

Fermionic (atomic nuclei) and bosonic (correlated atoms in a trap) systems are studied from an information-theoretic point of view. Shannon and Onicescu information measures are calculated for the above systems comparing correlated and uncorrelated cases as functions of the strength of short range correlations. One-body and two-body density and momentum distributions are employed. Thus the effect of short-range correlations on the information content is evaluated. The magnitude of distinguishability of the correlated and uncorrelated densities is also discussed employing suitable measures of distance of states i.e. the well known Kullback-Leibler relative entropy and the recently proposed Jensen-Shannon divergence entropy. It is seen that the same information-theoretic properties hold for quantum many-body systems obeying different statistics (fermions and bosons).

24 pages, 9 figures, 1 table

References in corpus (6)

• A link of information entropy and kinetic energy for quantum many-body systems
• Application of information entropy to nuclei
• The dependence of information entropy of uniform Fermi systems on correlations and thermal effects
• Evaluation of cluster expansions and correlated one-body properties of nuclei
• The Two-Body Momentum Distribution in Finite Nuclei
• Bose-Einstein condensation of correlated atoms in a trap

Cited by in corpus (2)

• Shannon entropies of atomic structure factors, off-diagonal order and electron correlation
• Natural orbitals representation and Fermi sea depletion in finite nuclei and nuclear matter