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Mechanical Equivalent of Quantum Heat Engines

Jacques Arnaud 1 Laurent Chusseau 1, 2, * Fabrice Philippe 3
* Corresponding author
2 RADIAC - Radiations et composants
IES - Institut d’Electronique et des Systèmes
3 ARITH - Arithmétique informatique
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : Quantum heat engines employ as working agents multilevel systems instead of classical gases. We show that under some conditions quantum heat engines are equivalent to a series of reservoirs at different altitudes containing balls of various weights. A cycle consists of picking up at random a ball from one reservoir and carrying it to the next, thereby performing or absorbing some work. In particular, quantum heat engines, employing two-level atoms as working agents, are modeled by reservoirs containing balls of weight 0 or 1. The mechanical model helps us prove that the maximum efficiency of quantum heat engines is the Carnot effi- ciency. Heat pumps and negative temperatures are considered.
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Submitted on : Friday, June 11, 2021 - 11:46:20 AM
Last modification on : Monday, July 5, 2021 - 3:44:05 PM
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Jacques Arnaud, Laurent Chusseau, Fabrice Philippe. Mechanical Equivalent of Quantum Heat Engines. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2008, 77, pp.061102. ⟨10.1103/PhysRevE.77.061102⟩. ⟨lirmm-00363624⟩



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