On the elementary information content of thermodynamic ensembles
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, P(β), and for phase-space projectors related to the quantum fidelity, F(β), are explicitly derived in terms of an explicit correspondence with the related partition function, Z(β). 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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