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arXiv 2003.07608cond-mat.stat-mechquant-ph
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三能级量子热机的优化运行与效率的普适性

Optimal operation of a three-level quantum heat engine and universal nature of efficiency

Varinder Singh

摘要:

我们提出了一个详细的研究三能级量子热机工作在最大有效功率函数,一个权衡的目标函数定义的产品的效率和功率输出的发动机。首先,对于近平衡条件,我们找到了效率的一般表达式,并建立了最大功率和最大有效功率效率的普遍性质。然后,在高温极限,优化一个参数,同时限制另一个,我们得到的上下界的效率为强以及弱的物质场耦合条件。除了弱的物质场耦合条件,所获得的边界上的效率完全匹配的边界上已知的经典热机的一些模型。此外,弱物质场耦合,我们推导出一些新的边界上的发动机的效率位于所覆盖的范围内得到的强物质场耦合。我们的结论是通过比较我们的三能级量子热机在最大功率和最大有效功率制度的性能,并表明,在最大有效功率运行的发动机产生至少$88.89\%$的最大功率输出,同时大大减少了由于熵产生的功率损失。

英文摘要:

We present a detailed study of a three-level quantum heat engine operating at maximum efficient power function, a trade-off objective function defined by the product of the efficiency and power output of the engine. First, for near equilibrium conditions, we find general expression for the efficiency and establish universal nature of efficiency at maximum power and maximum efficient power. Then in the high temperature limit, optimizing with respect to one parameter while constraining the other one, we obtain the lower and upper bounds on the efficiency for both strong as well as weak matter-field coupling conditions. Except for the weak matter-field coupling condition, the obtained bounds on the efficiency exactly match with the bounds already known for some models of classical heat engines. Further for weak matter-field coupling, we derive some new bounds on the the efficiency of the the engine which lie beyond the range covered by bounds obtained for strong matter-field coupling. We conclude by comparing the performance of our three-level quantum heat engine in maximum power and maximum efficient power regimes and show that the engine operating at maximum efficient power produces at least $88.89\%$ of the maximum power output while considerably reducing the power loss due to entropy production.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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