Description of the fluorescence intensity time trace of collections of CdSe nanocrystal quantum dots based on single quantum dot fluorescence blinking statistics

This paper analyzes the observed phenomenology of the fluorescence time trace of collections of quantum dots (QDs) in terms of the model parameters that characterize the fluorescence blinking statistics of single QDs. We demonstrate that the non-universal dynamics that appear in fluorescence time traces of collections of QDs at short time scales are related to the universal dynamics that appear at longer time scales. We explore how the extent of time separation between the short and long dynamics affects the transition region and the dynamics at longer time scales. We suggest a methodology to extract single QD statistical model parameters from experimental fluorescence time traces of collections of QDs. We explore theoretical time traces and their experimental analogs for three different cases that span the diverse nonuniversal dynamics that appear at short time scales.