Mixed state representability of entropy-density pairs
Louis Garrigue
TL;DR
This paper investigates the conditions under which density-entropy pairs can be represented by canonical and grand-canonical states, providing bounds on the kinetic energy of such states.
Contribution
It establishes the representability of density-entropy pairs with specific quantum states and derives bounds on their kinetic energy.
Findings
Density-entropy pairs are representable by canonical and grand-canonical states.
Bounds on the kinetic energy of representing states are provided.
The results contribute to understanding quantum state representability in statistical mechanics.
Abstract
We show the representability of density-entropy pairs with canonical and grand-canonical states, and we provide bounds on the kinetic energy of the representing states.
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Taxonomy
TopicsQuantum many-body systems · Statistical Mechanics and Entropy · Advanced Thermodynamics and Statistical Mechanics