Quantum random walk : effect of quenching

Abstract

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 ($t_R\ne 0$) 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.

5 pages, 6 figures, accepted version in PRA

References in corpus (5)

• Quantum walks of correlated particles
• Mott insulators in strong electric fields
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• Recurrence properties of unbiased coined quantum walks on infinite $d$-dimensional lattices
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• Quantum Walker in Presence of a Moving Detector