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Statistical manifestation of quantum correlations via disequilibrium. (English) Zbl 1375.82076
Summary: The statistical notion of disequilibrium (\(D\)) was introduced by R. López-Ruiz et al. [“A statistical measure of complexity”, Phys. Lett., A 209, No. 5–6, 321–326 (1995; doi:10.1016/0375-9601(95)00867-5)] more than 20 years ago. \(D\) measures the amount of “correlational structure” of a system. We wish to use \(D\) to analyze one of the simplest types of quantum correlations, those present in gaseous systems due to symmetry considerations. To this end, we extend the LMC formalism to the grand canonical environment and show that \(D\) displays distinctive behaviors for simple gases, that allow for interesting insights into their structural properties.
MSC:
82C22 Interacting particle systems in time-dependent statistical mechanics
81P40 Quantum coherence, entanglement, quantum correlations
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