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arXiv · 2112.02201

Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity

Philipp Stegmann·Satyendra Nath Gupta·Gilad Haran·Jianshu Cao
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Abstract

Among the best known quantities obtainable from photon correlation measurements are the $g^{(m)}$~correlation functions. Here, we introduce a new procedure to evaluate these correlation functions based on higher-order factorial cumulants $C_{\text{F},m}$ which integrate over the time dependence of the correlation functions, i.e., summarize the available information at different time spans. In a systematic manner, the information content of higher-order correlation functions as well as the distribution of photon waiting times is taken into account. Our procedure greatly enhances the sensitivity for probing correlations and, moreover, is robust against a limited counting efficiency and time resolution in experiment. It can be applied even in case $g^{(m)}$ is not accessible at short time spans. We use the new evaluation scheme to analyze the photon emission of a plasmonic cavity coupled to a single quantum dot. We derive criteria which must hold if the system can be described by a generic Jaynes-Cummings model. A violation of the criteria can be explained by the presence of an additional excited quantum dot state.

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Philipp Stegmann, Satyendra Nath Gupta, Gilad Haran, Jianshu Cao. 2021-12-04. Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity. https://doi.org/10.1021/acsphotonics.2c00375

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