Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Thermal Uncertainty Relations and LMC Structural Quantifiers

Version 1 : Received: 18 November 2020 / Approved: 19 November 2020 / Online: 19 November 2020 (07:31:23 CET)

A peer-reviewed article of this Preprint also exists.

Pennini, F.; Plastino, A.; Plastino, A.R.; Hernando, A. Structural Statistical Quantifiers and Thermal Features of Quantum Systems. Entropy 2021, 23, 19. Pennini, F.; Plastino, A.; Plastino, A.R.; Hernando, A. Structural Statistical Quantifiers and Thermal Features of Quantum Systems. Entropy 2021, 23, 19.

Journal reference: Entropy 2020, 23, 19
DOI: 10.3390/e23010019

Abstract

In this paper we establish information theoretical bridges between 1) Thermal Heisenberg uncertainties $\Delta x \Delta p$ (at temperature $T$), and 2) LMC structural quantifiers. After having achieved such purpose, we determine to what an extent our bridges can be extended to both the semi classical and classical realms. Also, we find a strict bound relating a special LMC structural quantifier to quantum uncertainties.

Subject Areas

Thermal uncertainties; Disequilibrium; Husimi distributions

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