标题： 量子随机游走：淬火的影响 显示英文标题

标题： Quantum random walk : effect of quenching

摘要： 我们通过在时间$t_R$突然移除位于位置$x_D$的探测器，研究淬火对离散量子随机游走的影响。 结果表明，只要移除时间$t_R < t_{R}^{lim}$满足$t_{R}^{lim}$随$x_D{^2}$变化，这可能导致$x_D$处的发生概率增强。 淬火行走者（$t_R \neq 0$）和自由行走者（$t_R =0$）的出现概率比表明，它在$t_R$的大值下按$1/t_R$进行缩放，与$x_D$无关。 另一方面，如果$t_R$固定，这个比率随着$x_{D}^{2}$而变化，对于小的$x_D$。 结果与经典情况进行了比较。 我们还计算了时间与位置的函数的相关性。 显示英文摘要

摘要： We study the effect of quenching on a discrete quantum random walk by removing a detector placed at a position $x_D$ abruptly at time $t_R$ from its path. The results show that this may lead to an enhancement of the occurrence probability at $x_D$ provided the time of removal $t_R < t_{R}^{lim}$ where $t_{R}^{lim}$ scales as $x_D{^2}$. The ratio of the occurrence probabilities for a quenched walker ($t_R \neq 0$) and free walker ($t_R =0$) shows that it scales as $1/t_R$ at large values of $t_R$ independent of $x_D$. On the other hand if $t_R$ is fixed this ratio varies as $x_{D}^{2}$ for small $x_D$. The results are compared to the classical case. We also calculate the correlations as functions of both time and position.