Superbunching in cathodoluminescence: a master equation approach

Abstract

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, $g^{(2)}(\tau )$, 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 $g^{(2)}(\tau )$, 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.

arXiv comment11+12 pages, 3+6 figures

References in corpus (15)

• Spatially resolved quantum nano-optics of single photons using an electron microscope
• Few emitters in a cavity: From cooperative emission to individualization
• Cathodoluminescence excitation spectroscopy: nanoscale imaging of excitation pathways
• Electron-induced state conversion in diamond NV centers measured with pump-probe cathodoluminescence spectroscopy
• Intensity fluctuations in bimodal micropillar lasers enhanced by quantum-dot gain competition
• Effective second-order correlation function and single-photon detection
• Non-equilibrium steady states of ideal bosonic and fermionic quantum gases
• Colossal photon bunching in quasiparticle-mediated nanodiamond cathodoluminescence
• Cubic BN optical gap and intragap optically active defects
• Purcell effect of nitrogen-vacancy centers in nanodiamond coupled to propagating and localized surface plasmons revealed by photon-correlation cathodoluminescence
• Probing plasmon-NV${}^0$ coupling at the nanometer scale with photons and fast electrons
• Pump-power-driven mode switching in a microcavity device and its relation to Bose-Einstein condensation
• Superthermal photon bunching in terms of simple probability distributions
• Theory of Fano effect in cavity quantum electrodynamics
• Impact of the dark path on quantum dot single photon emitters in small cavities

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• Sub-to-super-Poissonian photon statistics in cathodoluminescence of color center ensembles in isolated diamond crystals
• Electrons herald non-classical light
• Unveiling the nature of cathodoluminescence from photon statistics