Statistics of non-monochromatic photons interacting with free electrons

Abstract

It is well known that the interaction of photons with free electrons leads to their quantum entanglement and new statistics. Often, the study of the statistical properties of photons during their interaction with matter is considered for monochromatic photons. In reality, there are no completely monochromatic photons, and this must be taken into account. In this paper, it is shown that the statistical properties of non-monochromatic photons and their quantum entanglement can differ significantly from the case of monochromatic photons. It is shown that the photon statistics can be changed quite easily by varying the parameter responsible for the width of the spectral line of photons. The results obtained can be used in quantum technologies where photon states are needed that are not realized by other methods.