Based on the notion of quantum trajectory, we present a stochastic theoretical framework for Floquet quantum heat engines. As an application, the large deviation functions of two types of stochastic efficiencies for a two-level Floquet quantum heat engine are investigated. We find that the statistics of one efficiency agree well with the predictions of the universal theory of efficiency fluctuations developed by Verley et al. [Phys. Rev. E 90, 052145 (2014)], whereas the statistics of the other efficiency do not. The reason for this discrepancy is attributed to the lack of fluctuation theorems for the latter type of efficiency.

中文翻译：

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随机Floquet量子热机和随机效率。

基于量子轨迹的概念，我们提出了一种用于Floquet量子热机的随机理论框架。作为一种应用，研究了两级浮球型量子热机的两种随机效率的大偏差函数。我们发现，一种效率的统计与Verley等人提出的效率波动的普遍理论的预测非常吻合。[物理 启ê 90，052145（2014）]，而另一效率的统计数据没有。这种差异的原因归因于后一种效率缺乏波动定理。