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 {\it larger} (superarrivals) while the barrier is {\it lowered} compared to the unperturbed case. Similarly, during a certain interval of time, the probability of transmission while the barrier is {\it raised} {\it exceeds} that for free propagation. We compute {\it particle trajectories} using the Bohmian model of quantum mechanics in order to understand {\it how} this phenomenon of superarrivals occurs.

5 pages, Latex, 4 .eps figures, typos corrected, comments added, accepted for publication in Physics Letters A

References in corpus (2)

• Bohmian trajectories for photons
• Quantum Supearrivals

Cited by in corpus (5)

• On non-linear Schrödinger equations for open quantum systems
• Stochastic Bohmian and Scaled Trajectories
• Time-dependent potential barriers and superarrivals
• Diffraction in time of a confined particle and its Bohmian paths
• Quantum-mechanical effects in a linear time-dependent potential