1/f noise for intermittent quantum dots exhibits non-stationarity and critical exponents

The power spectrum of quantum dot (QD) fluorescence exhibits $1/{{f}^{\beta }}$ noise, related to the intermittency of these nanosystems. As in other systems exhibiting $1/f$ noise, this power spectrum is not integrable at low frequencies, which appears to imply infinite total power. We report measu...

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Bibliographic Details
Published in:New Journal of Physics
Main Authors: Sanaz Sadegh, Eli Barkai, Diego Krapf
Format: Article
Language:English
Published: IOP Publishing 2014-01-01
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/16/11/113054
Description
Summary:The power spectrum of quantum dot (QD) fluorescence exhibits $1/{{f}^{\beta }}$ noise, related to the intermittency of these nanosystems. As in other systems exhibiting $1/f$ noise, this power spectrum is not integrable at low frequencies, which appears to imply infinite total power. We report measurements of individual QDs that address this long-standing paradox. We find that the level of $1/{{f}^{\beta }}$ noise decays with the observation time. The change of the spectrum with time places a bound on the total power. These observations are in stark contrast with most measurements of noise in macroscopic systems which do not exhibit any evidence for non-stationarity. We show that the traditional description of the power spectrum with a single exponent β is incomplete and three additional critical exponents characterize the dependence on experimental time.
ISSN:1367-2630