论文标题

频镜两冲程量子热发动机

Stroboscopic two-stroke quantum heat engines

论文作者

Molitor, Otavio A. D., Landi, Gabriel T.

论文摘要

描述热发动机量子版本的模型的表述在建立量子状态的热力学定律方面起着重要作用。特别重要的是对可以在有限时间运行的基于中风的发动机的描述。在本文中,我们提出了一个用通用量子链来描述频镜,两冲程发动机的框架。该框架是对所谓的掉期引擎的概括,并基于碰撞模型,该模型在纯热量和纯工作中的交替。还完全解释了向极限周期的瞬态演变。此外,我们表明,一旦达到极限循环,链的内部位点的能量将不再发生变化,而热电流仅与边界部位相关。使用分析和数值方法的组合,我们表明这种类型的发动机提供了多种优化输出功率的方法,而不会影响效率。最后,我们还表明,存在整个模型,其特征在于特定类型的链间相互作用,这些相互作用总是以奥托效率运行,而与储层的工作条件无关。

The formulation of models describing quantum versions of heat engines plays an important role in the quest toward establishing the laws of thermodynamics in the quantum regime. Of particular importance is the description of stroke-based engines which can operate at finite-time. In this paper we put forth a framework for describing stroboscopic, two-stroke engines, in generic quantum chains. The framework is a generalization of the so-called SWAP engine and is based on a collisional model, which alternates between pure heat and pure work strokes. The transient evolution towards a limit-cycle is also fully accounted for. Moreover, we show that once the limit-cycle has been reached, the energy of the internal sites of the chain no longer changes, with the heat currents being associated exclusively to the boundary sites. Using a combination of analytical and numerical methods, we show that this type of engine offers multiple ways of optimizing the output power, without affecting the efficiency. Finally, we also show that there exists an entire class of models, characterized by a specific type of inter-chain interaction, which always operate at Otto efficiency, irrespective of the operating conditions of the reservoirs.

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