Understanding Quantum Superarrivals using the Bohmian model
Abstract
We investigate the orgin of ``quantum superarrivals'' in the reflection and transmission probabilities of a Gaussian wave packet for a rectangular potential barrier while it is perturbed by either reducing or increasing its height. There exists a finite time interval during which the probability of reflection is larger (superarrivals) while the barrier is lowered compared to the unperturbed case. Similarly, during a certain interval of time, the probability of transmission while the barrier is raised exceeds that for free propagation. We compute particle trajectories using the Bohmian model of quantum mechanics in order to understand how this phenomenon of superarrivals occurs.
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