We propose a theoretical model of a master equation for cathodoluminescence (CL). The master equation describes simultaneous excitation of multiple emitters by an incoming electron and radiative decay of individual emitters. We investigate the normalized second-order correlation function, g(2)(τ), of this model. We derive the exact formula for the zero-time delay correlation, g(2)(0), and show that the model successfully describes giant bunching (superbunching) in the CL. We also derive an approximate form of g(2)(τ), which is valid for small excitation rate. Furthermore, we discuss the state of the radiation field of the CL. We reveal that the superbunching results from a mixture of an excited photon state and the vacuum state and that this type of state is realized in the CL.
Cite
@article{arxiv.2206.00933,
title = {Superbunching in cathodoluminescence: a master equation approach},
author = {Tatsuro Yuge and Naoki Yamamoto and Takumi Sannomiya and Keiichirou Akiba},
journal= {arXiv preprint arXiv:2206.00933},
year = {2023}
}