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arXiv:2302.13717 · Physica A Statistical Mechanics and its Applications

Learning coherences from nonequilibrium fluctuations in a quantum heat engine

Manash Jyoti Sarmah, Himangshu Prabal Goswami

Published Aug 14, 2023• 4 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2023.129135

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At the very foundation of the second law of thermodynamics lies the fact that no heat engine operating between two reservoirs of temperatures T C ⩽ T H can outperform the ideal Carnot engine: 〈 W 〉/〈 Q H 〉 ⩽ 1 − T C / T H . This inequality follows from an exact fluctuation relation involving the nonequilibrium work W and heat exchanged with the hot bath Q H . In a previous work (Sinitsyn 2011 J. Phys. A: Math. Theor. 44 405001) this fluctuation relation was obtained under the assumption that the heat engine undergoes a stochastic jump process. Here we provide the general quantum derivation, and also extend it to the case of refrigerators, in which case Carnot's statement reads 〈 Q C 〉/|〈 W 〉| ⩽ ( T H / T C − 1) −1 .