论文标题

两冲程量子热机的功率最大化

Power maximization of two-stroke quantum thermal machines

论文作者

Piccione, Nicolò, De Chiara, Gabriele, Bellomo, Bruno

论文摘要

我们提出了一项使用量子系统作为工作物质的量子热机的详细研究。特别是,我们研究了两种不同类型的两冲程循环,其中两个相同的量子系统的两个相同的量子系统最初是在热平衡下分别与冷和热浴的接触来制备的。两个周期在不存在或存在调解器系统的情况下有所不同,而在这两种情况下,非共同交换汉密尔顿人被用作粒子相互作用。我们表明,这些机器的效率仅取决于组成集合的系统的能量差距,并且等于“等效”奥托周期的效率。为了关注这两种模型的Qubits或谐波振荡器的情况,我们在没有调解器的模型中最大程度地提高了发动机功率,并分析了随后相互作用之间等待时间的作用。事实证明,当相互作用时间与没有调解器的通讯周期的等待时间相媲美时,调解人的情况可以带来性能优势。我们发现,在这两个周期中,量子系统的功率峰都可以超过Curzon-Ahlborn效率。最后,我们将没有调解器的循环与量子奥托周期的先前方案进行比较,表明不需要高耦合即可获得相同的最大功率。

We present a detailed study of quantum thermal machines employing quantum systems as working substances. In particular, we study two different types of two-stroke cycles where two collections of identical quantum systems with evenly spaced energy levels are initially prepared at thermal equilibrium by putting them in contact with a cold and a hot thermal bath, respectively. The two cycles differ in the absence or the presence of a mediator system, while, in both cases, non-resonant exchange Hamiltonians are exploited as particle interactions. We show that the efficiencies of these machines depend only on the energy gaps of the systems composing the collections and are equal to the efficiency of "equivalent" Otto cycles. Focusing on the cases of qubits or harmonic oscillators for both models, we maximize the engine power and analyze, in the model without the mediator, the role of the waiting time between subsequent interactions. It turns out that the case with the mediator can bring performance advantages when the interaction times are comparable with the waiting time of the correspondent cycle without the mediator. We find that in both cycles, the power peaks of qubit systems can surpass the Curzon-Ahlborn efficiency. Finally, we compare our cycle without the mediator with previous schemes of the quantum Otto cycle showing that high coupling is not required to achieve the same maximum power.

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