Dimension-Dependent Stimulated Radiative Interaction of a Single Electron Quantum Wavepacket

TL;DR

This paper investigates how the size of a free electron quantum wavepacket influences stimulated radiative interactions, revealing quantum and classical interaction regimes and identifying conditions for experimental observation of wavepacket features.

Contribution

It introduces a detailed analysis of wavepacket size effects on electron-radiation interactions, bridging quantum and classical regimes with numerical simulations.

Findings

Quantum regime shows multiphoton sidebands in energy spectrum.

Classical regime approaches point-particle acceleration behavior.

Intermediate regime allows experimental observation of wavepacket features.

Abstract

In the foundation of quantum mechanics, the spatial dimensions of electron wavepacket are understood only in terms of an expectation value - the probability distribution of the particle location. One can still inquire how the quantum electron wavepacket size affects a physical process. Here we address the fundamental physics problem of particle-wave duality and the measurability of a free electron quantum wavepacket. Our analysis of stimulated radiative interaction of an electron wavepacket, accompanied by numerical computations, reveals two limits. In the quantum regime of long wavepacket size relative to radiation wavelength, one obtains only quantum-recoil multiphoton sidebands in the electron energy spectrum. In the opposite regime, the wavepacket interaction approaches the limit of classical point-particle acceleration. The wavepacket features can be revealed in experiments carried out in the intermediate regime of wavepacket size commensurate with the radiation wavelength.