Hong-Ou-Mandel interference on free charged particles

The Hong-Ou-Mandel effect (HOM) is used in many fields of quantum optics and quantum technologies. It is well known that this effect occurs when two identical photons in different modes hit a beam splitter (BS) with a reflection coefficient of R = ½. The classical effect consists in the interaction of two photons and was first experimentally demonstrated by Hong and co-authors in 1987. In this paper, it was shown that this effect can be realized using free charged particles. It was determined when this effect would manifest itself. The results obtained for HOM have an analytical form, which simplifies its analysis. The Hong-Ou-Mandel effect is of fundamental importance in quantum physics and quantum computer science, as it demonstrates quantum entanglement and interference. The results of the research can be used in problems of quantum physics and quantum computer science.