We study the optimal performance of an endoreversible quantum dot heat engine, in which the heat transfer between the system and baths is mediated by qubits, operating under the conditions of a trade-off objective function known as the maximum efficient power function defined by the product of power and efficiency of the engine. First, we numerically study the optimization of the efficient power function for the engine under consideration. Then, we obtain some analytic results by applying a high-temperature limit and compare the performance of the engine at maximum efficient power function to the engine operating in the maximum power regime. We find that the engine operating at maximum efficient power function produces at least 88.89 % of the maximum power output while at the same time reducing the power loss due to entropy production by a considerable amount. We conclude by studying the stochastic simulations of the efficiency of the engine in maximum power and maximum efficient power regime. We find that the engine operating at maximum power is subjected to fewer power fluctuations as compared to the one operating at maximum efficient power function.

中文翻译：

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具有高效幂函数的内可逆量子热机优化分析

我们研究了内可逆量子点热机的最佳性能，其中系统和浴池之间的热传递由量子位介导，在权衡目标函数（称为由乘积定义的最大有效功率函数）的条件下运行发动机的功率和效率。首先，我们对所考虑的发动机的有效功率函数的优化进行数值研究。然后，我们通过应用高温限制获得一些分析结果，并将最大有效功率函数下的发动机性能与最大功率状态下运行的发动机的性能进行比较。我们发现，以最大有效功率函数运行的发动机至少可以产生最大功率输出的 88.89%，同时大大减少由于熵产生而造成的功率损失。我们通过研究最大功率和最大有效功率状态下发动机效率的随机模拟得出结论。我们发现，与以最大有效功率函数运行的发动机相比，以最大功率运行的发动机受到的功率波动较小。