Recovery Time of Matter Airy Beams using the Path Integral Quantum Trajectory Model

Abstract

The Path Integral Quantum Trajectory (PIQTr) model is introduced as a new computational tool for the study of non-relativistic, quantum mechanical wave packets. We introduce the numerical algorithm and show that one of the primary advantages of the PIQTr model is its ability to efficiently handle heavy mass particles, while still resulting in a numerically exact answer. We then apply the model to the study of matter Airy beam particles and show that the recovery time of a damaged wave packet increases approximately with mass, but is independent of momentum, velocity, and wave packet width.