On the elementary information content of thermodynamic ensembles

• URL: http://arxiv.org/abs/2005.14338v1
• Date: Thu, 28 May 2020 22:58:18 GMT
• Title: On the elementary information content of thermodynamic ensembles
• Authors: Alex E. Bernardini
• Abstract summary: We extend the definition of phase-space (Wigner) quantum projectors to thermodynamic ensembles. The tools here introduced extend the role of the partition function in expressing the quantum behavior of thermodynamic ensembles.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Extending the definition of phase-space (Wigner) quantum projectors to thermodynamic ensembles usually results into an efficient platform for quantifying their elementary information content. Given the spectral decomposition profile of a thermalized quantum system, general expressions for the quantum purity quantifier, $\mathcal{P}(\beta)$, and for phase-space projectors related to the quantum fidelity, $\mathcal{F}(\beta)$, are explicitly derived in terms of an explicit correspondence with the related partition function, $\mathcal{Z}(\beta)$. Besides quantifying the storage of information capacity of thermodynamical ensembles, the tools here introduced extend the role of the partition function in expressing the quantum behavior of thermodynamic ensembles.

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