论文标题
通过对角熵的动力学和统计特性表征激发态量子相变
Characterizing the excited-state quantum phase transition via the dynamical and statistical properties of the diagonal entropy
论文作者
论文摘要
使用对角线熵，我们分析了Lipkin-Meshkov-Glick（LMG）模型激发态量子相变（ESQPT）的动力学特征。我们首先表明对角线熵的时间演变表现为有效的ESQPT存在指标。我们进一步将对角线熵视为一定时间间隔的随机变量，我们发现其相关的概率分布在ESQPT的不同阶段之间提供了明显的区别。我们观察到，在ESQPT临界点上对角线熵的概率分布具有通用形式，通过Beta分布很好地描述，我们证明可以从对角线熵中心矩中获得对ESQPT的可靠检测。
Using the diagonal entropy, we analyze the dynamical signatures of the Lipkin-Meshkov-Glick (LMG) model excited-state quantum phase transition (ESQPT). We first show that the time evolution of the diagonal entropy behaves as an efficient indicator of the presence of an ESQPT. We further consider the diagonal entropy as a random variable over a certain time interval and we find that its associated probability distribution provides a clear distinction between the different phases of ESQPT. We observe that the probability distribution of the diagonal entropy at the ESQPT critical point has an universal form, well described by a beta distribution, and we demonstrate that a reliable detection of the ESQPT can be obtained from the diagonal entropy central moments.
