Information-Theoretic Comparison of Quantum Many-Body Systems

An information measure inspired by Onicescu’s information energy and Uffink’s information measure (recently discussed by Brukner and Zeilinger) are calculated as functions of the number of particles N for fermionic systems (nuclei and atomic clusters) and correlated bosonic systems (atoms in a trap). Our results are compared with previous ones obtained for Shannon’s information entropy, where a universal property was derived for atoms, nuclei, atomic clusters and correlated bosons. It is indicated that Onicescu’s and Uffink’s definitions are finer measures of information entropy than Shannon’s. Onicescu [1] introduced the concept of information energy E as a finer measure of dispersion distributions than that of Shannon’s information entropy [2, 3]. So far, only the mathematical aspects of this concept have been developed, while the physical aspects have been neglected [4]. e-mail: kchatz@ auth.gr e-mail: chpanos@ auth.gr e-mail: massen@ physics.auth.gr