论文标题

有限的量子奥托引擎,带有挤压热浴:量子相干性和挤压在性能和波动中的作用

Finite-time quantum Otto engine with a squeezed thermal bath: Role of quantum coherence and squeezing in the performance and fluctuations

论文作者

Xiao, Yang, Liu, Dehua, He, Jizhou, Liu, Wu-Ming, Wang, Jianhui

论文摘要

我们考虑了一个有限的量子奥托热发动机,该发动机由两个等速(热接触)工艺组成,其中该系统与热挤压和冷热储层互联合,以及两个单位驱动的笔触,其中该系统与这两个浴室及其VonNeumann熵保持恒定。量子内部摩擦和连贯性都是沿驱动的中风产生的,并且在有限的热等距之后无法完全消除连贯性。使用完整的计数统计数据,我们介绍了热注射和每个周期总工作的概率分布函数,这取决于每个过程的持续时间。有了这些,我们将包括两级热量发动机的热力学量的分析表达式,例如总工作,热力学效率,熵产生和工作波动,其中包括相干,挤压,内部摩擦和有限时间热量的影响。然后,我们使用实验实现中使用的参数来确定热力学量和波动。我们的结果阐明了连贯性和挤压在量子奥托引擎中性能和波动中的作用。

We consider a finite-time quantum Otto heat engine that consists of two isochoric (thermal-contact) process, where the system is alternatively coupled to a hot squeezed and a cold thermal reservoir, and two unitary driven strokes, where the system is isolated from these two baths and its von Neumann entropy keeps constant. Both quantum inner friction and coherence are generated along the driven stroke and coherence cannot be fully erased after the finite-time hot isochore. Using full counting statistics, we present the probability distribution functions of heat injection and total work per cycle, which are dependent on the time duration along each process. With these, we derive the analytical expressions for the thermodynamic quantities of the two-level heat engine, such as total work, thermodynamic efficiency, entropy production, and work fluctuations, in which effects of coherence, squeezing, inner friction and finite-time heat exchange are included. We then numerically determine the thermodynamic quantities and the fluctuations using the parameters employed in the experimental implementation. Our results clarify the role of coherence and squeezing in the performance and fluctuations in the quantum Otto engines.

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