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Title: Thermodynamics of quantum heat bath
Authors: Brody, DC
Hughston, LP
Keywords: Science & Technology;Physical Sciences;Physics, Multidisciplinary;Physics, Mathematical;Physics;Statistical mechanics;Thermodynamics;Large deviations;Quantum mechanics;Condensed matter;Heat bath;Statistical-Mechanics;Microcanonical Ensemble;Information-Theory;States
Issue Date: 2016
Publisher: IOP Publishing Ltd
Citation: Journal of Physics A-Mathematical and Theoretical, 49 (42): (2016)
Abstract: A model for the thermodynamics of a quantum heat bath is introduced. Under the assumption that the bath molecules have nitely many degrees of freedom and are weakly interacting, we present a general derivation of the equation of state of the bath in the thermodynamic limit. The relation between the temperature and the speci c energy of the bath depends on (i) the spectral properties of the molecules, and (ii) the choice of probability measure on the state space of a representative molecule. The results obtained illustrate how the microscopic features of the molec- ular constituents determine the macroscopic thermodynamic properties of the bath. Our ndings can thus be used to compare the merits of different hypotheses for the equilibrium states of quantum systems. Two examples of plausible choices for the probability measure are considered in detail.
ISSN: ARTN 425302
Appears in Collections:Dept of Mathematics Research Papers

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