Quantum-Information Theoretic Properties of Nuclei and Trapped Bose Gases

Details Quantum-Information Theoretic Properties of Nuclei and Trapped Bose Gases Quantum-Information Theoretic Properties of Nuclei and Trapped Bose Gases

2005-06-06

arxiv.org/abs/quant-ph/0506041v1

Int.J.Mod.Phys. E14 (2005) 1

Physics

Quantum Physics

24 pages, 9 figures, 1 table

Scientific paper

10.1142/S0218301305003739

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).

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