论文标题
量子指南针模型的运算符在伯特晶格上的增长
Operator growth in a quantum compass model on a Bethe lattice
论文作者
论文摘要
量子指南针模型中本地运营商的时间演变的特征是简单，因为它可以表示为扩展和收缩操作员的字符串。在这里，我们提出了一种分析解决方案，以解决伯特晶格上量子指南针模型中局部能量运营商的生长问题。我们发现平均操作员长度的时间和操作员长度分布的扩散扩散时间的线性增加。通过瞬间方法，我们评估了在低频下显示Lorentzian形状的局部能量自相关函数。此外，通过随机方法，我们可视化弦云的扩展。
The time evolution of local operators in quantum compass models is characterized by simplicity as it can be represented as expanding and contracting strings of operators. Here we present an analytical solution to the problem of growth of a local energy operator in a quantum compass model on a Bethe lattice. We find a linear increase in time of the average operator length and a diffusive spreading of the operator length distribution. By a moment method we evaluate the local energy autocorrelation function that shows a Lorentzian shape at low frequencies. Furthermore, by a stochastic method we visualize the expansion of the string cloud.
