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Open Quantum Systems Decoherence Quantum Thermodynamics

The second law of thermodynamics as a deterministic theorem for quantum spin systems

arXiv
Authors: Walter F. Wreszinski

Year

2021

Paper ID

41044

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

We review our approach to the second law of thermodynamics, viewed as a theorem asserting the growth of the mean (Gibbs-von Neumann) entropy of quantum spin systems undergoing automorphic (unitary) adiabatic transformations. Non-automorphic interactions with the environment, although known to produce on the average a strict reduction of the entropy of systems with finite number of degrees of freedom, are proved to conserve the mean entropy on the average. The results depend crucially on two properties of the mean entropy, proved by Robinson and Ruelle for classical systems, and Lanford and Robinson for quantum lattice systems: upper semicontinuity and affinity.

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  • We review our approach to the second law of thermodynamics, viewed as a theorem asserting the growth of the mean (Gibbs-von Neumann) entropy of quantum spin systems undergoing...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2112.01175 [2] arXiv https://arxiv.org/abs/2112.01175 [3] Publisher https://arxiv.org/abs/2112.01175

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