论文标题
跨量子相变的工作统计数据
Work statistics across a quantum phase transition
论文作者
论文摘要
我们研究了使用绝热扰动理论在Quantum相转变期间进行的工作的统计数据。结果表明，所有工作的累积物都表现出类似于千里布尔·祖雷克缩放的普遍缩放行为，而缺陷的平均密度。考虑了两种转换：两个间隙阶段之间的淬灭，其中临界点遍历了一个临界点，而在临界点附近结束的淬火。与缺陷密度的缩放行为相反，对于这两种淬灭而言，工作累积物的缩放行为在质量上有所不同。但是，在这两种情况下，相应的指数都是由系统的维度和过渡的关键指数完全确定的，如传统的Kibble-Zurek机制（KZM）中。因此，我们的研究通过揭示KZM在工作统计数据上的烙印来加深我们对量子相变的非平衡动力学的理解。
We investigate the statistics of the work performed during a quench across a quantum phase transition using the adiabatic perturbation theory. It is shown that all the cumulants of work exhibit universal scaling behavior analogous to the Kibble-Zurek scaling for the average density of defects. Two kinds of transformations are considered: quenches between two gapped phases in which a critical point is traversed, and quenches that end near the critical point. In contrast to the scaling behavior of the density of defects, the scaling behavior of the work cumulants are shown to be qualitatively different for these two kinds of quenches. However, in both cases the corresponding exponents are fully determined by the dimension of the system and the critical exponents of the transition, as in the traditional Kibble-Zurek mechanism (KZM). Thus, our study deepens our understanding about the nonequilibrium dynamics of a quantum phase transition by revealing the imprint of the KZM on the work statistics.
