AI 中文总结
研究量子猝灭后广延 \(U(1)\) 电荷的 \(n\) 次累积量生成函数，利用时空对偶性刻画其从对称初始态演化时的情况，表明时间关联弱时 \(n\)-FCS 可分解，简化了动力学关联函数，并用多测试支持该发现。
AI 中文摘要
我们研究了量子猝灭后广延 \(U(1)\) 电荷的 \(n\) 次累积量生成函数（或 \(n\) 全计数统计，\(n\)-FCS）。利用时空对偶性，我们刻画了从电荷作用下对称的初始态演化时的这个函数。特别地，我们表明如果时间关联足够弱，例如输运是弹道的，\(n\)-FCS 分解为按时间壳结构排列的单次 FCS 的和。这种结构的一个直接结果是动力学关联函数的大幅简化：在存在时间序时，它们仅取决于进入关联函数的最小时间。我们在自由和相互作用模型中进行了若干解析和数值测试来支持这些发现。
英文摘要
We investigate the $n$-time cumulant generating function (or $n$-Full Counting Statistics, $n$-FCS) of extensive $U(1)$ charges following a quantum quench. Exploiting space-time duality we characterise this function when evolving from initial states that are symmetric under the action of the charge. In particular, we show that if the correlations in time are sufficiently weak, e.g.\ the transport is ballistic, the $n$-FCS factorises into a sum of single-time FCS arranged in a time-shell structure. A direct implication of this structure is a drastic simplification of dynamical correlation functions: in the presence of time ordering they only depend on the smallest time entering the correlator. We support these findings with several analytical and numerical tests performed in free and interacting models.
Comments8 pages + appendices, 12 figures
