Determining the statistics of work done on a quantum system while strongly coupled to a reservoir is a formidable task, requiring the calculation of the full eigenspectrum of the combined system and reservoir. Here, we show that this issue can be circumvented by using a polaron transformation that maps the system into a new frame where weak-coupling theory can be applied. Crucially, this polaron approach reproduces the Jarzynski fluctuation theorem, thus ensuring consistency with the laws of stochastic thermodynamics. We apply our formalism to a system driven across the Landau-Zener transition, where we identify clear signatures in the work distribution arising from a non-negligible coupling to the environment. Our results provide a new method for studying the stochastic thermodynamics of driven quantum systems beyond Markovian, weak-coupling regimes.

中文翻译：

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强储层耦合下的量子功统计

确定与储层强耦合的量子系统所做的功的统计数据是一项艰巨的任务，需要计算组合系统和储层的完整特征谱。在这里，我们证明可以通过使用极化子变换来规避这个问题，该变换将系统映射到可以应用弱耦合理论的新框架中。至关重要的是，这种极化子方法重现了 Jarzynski 涨落定理，从而确保了与随机热力学定律的一致性。我们将形式主义应用于跨越朗道-齐纳过渡的系统，在该系统中，我们在工作分配中识别出由于与环境不可忽略的耦合而产生的清晰特征。我们的结果为研究超越马尔可夫弱耦合体系的驱动量子系统的随机热力学提供了一种新方法。