|Image Source: Proceedings of the National Academy of Sciences|
Two testable schemes for quantum heat engines are investigated under the quantization framework of noncommutative (NC) quantum mechanics (QM). By identifying the phenomenological connection between the phase-space NC driving parameters and an effective external magnetic field, the NC effects on the efficiency coefficient, N, of quantum engines can be quantified for two different cycles: an isomagnetic one and an isoenergetic one. In addition, paying a special attention to the quantum Carnot cycle, one notices that the inclusion of NC effects does not affect the maximal (Carnot) efficiency, NC, ratifying the robustness of the second law of thermodynamics.
Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space
Jonas F. G. Santos, Alex E. Bernardini, Physics arXiv