论文标题

量子冰箱在有限的时间循环持续时间内

Quantum refrigerators in finite-time cycle duration

论文作者

Jiao, Guangqian, Zhu, Shoubao, He, Jizhou, Ma, Yongli, Wang, Jianhui

论文摘要

我们得出了在有限的时间周期内进行量子Otto发动机进行量子的冷却速率和性能系数及其方差。该机器由两个驱动的笔触组成,其中从热储层中隔离的系统经历有限的单位转换,并且两个等速步骤,即使在两个阶段的各个末端,有限的时间系统托架相互作用持续时间也使系统从平衡中移开。我们明确计算使用可解决的两级系统运行的机器的冷却速率和性能系数的统计数据。我们阐明了四个过程的有限时间持续时间在机器性能中的作用。我们表明,性能参数与其相应的方差之间存在权衡,从而表明可以提高性能的冷却速率或性能系数,但以增加相应波动的成本。

We derive cooling rate and coefficient of performance as well as their variances for a quantum Otto engine proceeding in finite-time cycle period. This machine consists of two driven strokes, where the system isolated from the heat reservoir undergoes finite-time unitary transformation, and two isochoric steps, where the finite-time system-bath interaction durations take the system away from the equilibrium even at the respective ends of the two stages. We explicitly calculate the statistics of cooling rate and coefficient of performance for the machine operating with an analytically solvable two-level system. We clarify the role of finite-time durations of four processes on the machine performance. We show that there is the trade-off between the performance parameter and its corresponding variance, thereby indicating that the cooling rate or coefficient of performance can be enhanced, but at the cost of increasing the corresponding fluctuations.

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