论文标题
在线的有向量子步行中的运输特性
Transport properties in directed Quantum Walks on the line
论文作者
论文摘要
我们获得了分析表达式，考虑到使用贝塞尔函数在有向的无限线上进行定向的连续时间量子步行，从而扩大了文献中先前的结果，以确保一般的初始条件。我们得出了概率分布的方程，并通过调整图方向的相位因子来恢复生存率的正常和增强的衰减率。我们的结果表明，特定非本地初始条件的平均值和标准偏差不取决于方向。
We obtained analytical expressions considering a directed continuous-time quantum walk on a directed infinite line using Bessel functions, expanding previous results in the literature, for a general initial condition. We derive the equation for the probability distribution, and show how to recover normal and enhanced decay rates for the survival probability by adjusting the phase factor of the direction of the graph. Our result shows that the mean and standard deviation for a specific non-local initial condition does not depend on the direction.
