L\'EVY PHOTON STATISTICS IN BLINKING QUANTUM DOTS

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2003

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Ohio State University

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We discuss the theory of blinking quantum $dots.^{a}$ These systems exhibit non-ergodic, and non-stationary kinetics. The mean on and off mean off time diverge. We show that Mandel's Q parameter, describing the fluctuations in this system, exhibits a new type of behavior, it increases with measurement time, even in the long time limit. In this case photon counts are described using L\'evy statistics. Possible explanations of the power law kinetics are discussed.

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$^{a}$ Y. Jung, E. Barkai, and R. Silbey, Lineshape Theory and Photon Counting Statistics for Blinking Quantum Dots: a L\'evy Walk Process Chemical Physics 284 181 (2002).
Author Institution: Dept. of Chemistry, Notre Dame University; Dept. of Chemistry, University of California; Dept. of Chemistry, MIT

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