论文标题
三级量子热发动机的最佳操作和效率的普遍性质
Optimal operation of a three-level quantum heat engine and universal nature of efficiency
论文作者
论文摘要
我们介绍了以最大有效的功率功能运行的三级量子热发动机的详细研究，这是由发动机的效率和功率输出的乘积定义的权衡目标函数。首先，对于近乎平衡的条件，我们找到了效率的一般表达，并在最大功率和最大有效的功率下建立了效率的普遍性质。然后在高温极限中，相对于一个参数进行优化，同时约束另一个参数，我们在强度和弱物质领域耦合条件的效率上获得了下层和上限。除了弱物质领域耦合条件外，效率上获得的边界与某些经典热发动机已知的边界完全匹配。对于弱物质实地耦合，我们在发动机的效率上得出了一些新的界限，该效率超出了范围内，该范围超出了针对强物质实线耦合所获得的范围。最后，我们将三级量子加热发动机在最大功率和最大有效的功率制度中的性能进行比较，并表明以最大有效电源运行的发动机至少产生$ 88.89 \％的最大功率输出，同时大大降低了由于熵产生而引起的功率损失。
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.
