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Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity
journal contribution
posted on 2022-05-17, 20:11 authored by Philipp Stegmann, Satyendra Nath Gupta, Gilad Haran, Jianshu CaoAmong 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 CF,m that integrate over the
time dependence of the correlation functions, that is, 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 that 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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single quantum dotplasmonic cavity coupledplasmonic cavity amongorder factorial cumulantslimited counting efficiencyphoton waiting timesorder photon statisticsshort time spansprocedure greatly enhancesphoton correlation measurementsdifferent time spansorder correlation functionscorrelation functions basednew evaluation scheme>< sup >(<correlation functionsnew procedurephoton emissiontime resolutiontime dependence>< sub>) supnew toolsystematic mannerprobing correlationsmust holdinformation contentf ,<available informationapplied even> sub