论文标题
连接波动定理用于顺序热交换
Joint fluctuation theorems for sequential heat exchange
论文作者
论文摘要
我们研究了量子系统的热交换的统计数据，该量子系统与任意数量的Ancillas顺序碰撞。例如，这可以描述一个穿过气泡室的加速粒子。与文献中的其他方法不同，我们的重点是\ emph {intim}概率分布，即加热$ q_1 $与Ancilla 1交换，加热$ Q_2 $与Ancilla 2交换，等等。这使人们可以解决有关碰撞事件之间相关性的问题。发现联合分布满足Jarzynski-Wójcik类型的波动定理。令人惊讶的是，这种波动定理将多个碰撞的统计数据与独立的单一碰撞联系起来，即使热交交换在统计上相关。
We study the statistics of heat exchange of a quantum system that collides sequentially with an arbitrary number of ancillas. This can describe, for instance, an accelerated particle going through a bubble chamber. Unlike other approaches in the literature, our focus is on the \emph{joint} probability distribution that heat $Q_1$ is exchanged with ancilla 1, heat $Q_2$ is exchanged with ancilla 2, and so on. This allows one to address questions concerning the correlations between the collisional events. The joint distribution is found to satisfy a Fluctuation theorem of the Jarzynski-Wójcik type. Rather surprisingly, this fluctuation theorem links the statistics of multiple collisions with that of independent single collisions, even though the heat exchanges are statistically correlated.
