We introduce quantum heat engines that perform quantum Otto cycle and the quantum Stirling cycle by using a coupled pair of harmonic oscillator as its working substance. In the quantum regime, different working medium is considered for the analysis of the engine models to boost the efficiency of the cycles. In this work, we present Otto and Stirling cycle in the quantum realm where the phase space is non-commutative in nature. By using the notion of quantum thermodynamics, we develop the thermodynamic variables in non-commutative phase space. We encounter a catalytic effect (boost) on the efficiency of the engine in non-commutative space (i.e. we encounter that the Stirling cycle reaches near to the efficiency of the ideal cycle) when compared with the commutative space. Moreover, we obtained a notion that the working medium is much more effective for the analysis of the Stirling cycle than that of the Otto cycle.

中文翻译：

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非交换空间引擎：热力学过程的推动力

我们介绍了通过使用耦合的谐振子对作为其工作物质来执行量子奥托循环和量子斯特林循环的量子热机。在量子状态下，考虑不同的工作介质来分析发动机模型以提高循环效率。在这项工作中，我们提出了量子领域中的奥托和斯特林循环，其中相空间本质上是非交换的。通过使用量子热力学的概念，我们开发了非交换相空间中的热力学变量。与交换空间相比，我们在非交换空间（即斯特林循环接近理想循环的效率）中遇到了对发动机效率的催化作用（提升）。而且，