Lee Sangyun, Ha Meesoon, Park Jong-Min, Jeong Hawoong
Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34051, Korea.
Department of Physics Education, Chosun University, Gwangju 61452, Korea.
Phys Rev E. 2020 Feb;101(2-1):022127. doi: 10.1103/PhysRevE.101.022127.
In finite-time quantum heat engines, some work is consumed to drive a working fluid accompanying coherence, which is called "friction." To understand the role of friction in quantum thermodynamics, we present a couple of finite-time quantum Otto cycles with two different baths: Agarwal versus Lindbladian. We solve them exactly and compare the performance of the Agarwal engine with that of the Lindbladian engine. In particular, we find remarkable and counterintuitive results that the performance of the Agarwal engine due to friction can be much higher than that in the quasistatic limit with the Otto efficiency, and the power of the Lindbladian engine can be nonzero in the short-time limit. Based on additional numerical calculations of these outcomes, we discuss possible origins of such differences between two engines and reveal them. Our results imply that, even with an equilibrium bath, a nonequilibrium working fluid brings on the higher performance than what an equilibrium working fluid does.
在有限时间量子热机中，一些功被消耗以驱动伴随相干性的工作流体，这被称为“摩擦”。为了理解摩擦在量子热力学中的作用，我们提出了几个具有两种不同热库的有限时间量子奥托循环：阿加瓦尔热库与林德布拉德热库。我们精确求解它们，并将阿加瓦尔热机的性能与林德布拉德热机的性能进行比较。特别地，我们发现了显著且违反直觉的结果，即由于摩擦导致的阿加瓦尔热机的性能可能远高于具有奥托效率的准静态极限下的性能，并且林德布拉德热机的功率在短时间极限下可以不为零。基于对这些结果的额外数值计算，我们讨论了这两种热机之间这种差异的可能来源并揭示了它们。我们的结果表明，即使有一个平衡热库，非平衡工作流体带来的性能也高于平衡工作流体。
