Quantum information and entropy in random matrix ensembles

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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9 pages; presented at poster session of the conference "Collective Phenomena in the Low Temperature Physics of Glasses"; June

Scientific paper

The random matrix ensembles (RME), especially Gaussian random matrix ensembles GRME and Ginibre random matrix ensembles, are applied to following quantum systems: nuclear systems, molecular systems, and two-dimensional electron systems (Wigner-Dyson electrostatic analogy). Measures of quantum chaos and quantum integrability with respect to eigenergies of quantum systems are defined and calculated. The distribution function for the random matrix ensembles is derived from the maximum entropy principle. Information functional is defined as negentropy (opposite of entropy or minus entropy).

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