论文标题
连接谐波振荡器中短程相互作用的连接和工作统计数据
Connecting scrambling and work statistics for short-range interactions in the harmonic oscillator
论文作者
论文摘要
我们研究了在一维谐波陷阱中短距离相互作用粒子的范式示例后，信息争夺的信息与工作统计数据之间的关系，在数值上最多考虑了多达五个粒子。特别是，我们发现，争夺需要有限的相互作用，而在这种情况下，单个规范运算符的平方换向器的长期平均值与工作概率分布的方差成正比。除了数值结果外，我们概述了导致该结果的N体系的数学结构。因此，我们建立了争夺性能与诱导的工作波动之间的联系，后者是可观察到的实验性可观察到的，在现代冷原子实验中可以直接访问。
We investigate the relationship between information scrambling and work statistics after a quench for the paradigmatic example of short-range interacting particles in a one-dimensional harmonic trap, considering up to five particles numerically. In particular, we find that scrambling requires finite interactions, in the presence of which the long-time average of the squared commutator for the individual canonical operators is directly proportional to the variance of the work probability distribution. In addition to the numerical results, we outline the mathematical structure of the N-body system which leads to this outcome. We thereby establish a connection between the scrambling properties and the induced work fluctuations, with the latter being an experimental observable that is directly accessible in modern cold atom experiments.
