Electron wave packet evolution under the influence of random electric field

TL;DR

This paper investigates how adding Gaussian white noise to an external electric field affects the evolution of an electron wave packet, revealing increased spreading and complex flux behavior.

Contribution

It provides an explicit expression for the averaged probability flux and analyzes the impact of noise on wave packet dynamics under external fields.

Findings

Noise increases wave packet spreading rate.

Flux amplitude is significantly affected by noise.

The role of noise can be constructive or destructive depending on the field.

Abstract

We consider an electron wave packet evolution in the external deterministic electric field with Gaussian white noise addition. An explicit expression was given for the averaged probability flux with Gaussian initial wave function. We show that the noise addition increases wave packet spreading rate, which has a significant influence on flux amplitude and may play both destructive and constructive role. This depends on the form and amplitude of external deterministic field.