%0 Book Section %1 statphys23_0348 %A Barkai, E. %A Margolin, G. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K crystals dots ergodicity experiement l\'evy nano non quantum statistics statphys23 theory topic-3 vs %T Non-ergodicity of Blinking Quantum Dots and Other Lévy Walk Processes %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=348 %X Quantum dots (QD) interacting with a continuous wave laser field, exhibit intermittent blinking, where the QD turns from state on where it emits many photons to state off and vice versa. We investigate the non-ergodic properties of blinking QDs modeled by a Levy-walk stochastic process 1. Using a non-ergodic mean field approach we calculate the distribution functions of the time averaged intensity correlation function. We show that these distributions are not delta peaked on the ensemble average correlation function values; instead they are W or U shaped and related to the arcsine law. Physical origin of the blinking is explained based on a diffusion model and comparison between experiment and theory is made 2. Beyond blinking nano- crystals our results describe ergodicity breaking in systems modeled by Levy walks, for example, certain types of chaotic maps, and spin dynamics to name a few. 1) G. Margolin, E. Barkai Phys. Rev. Letters 94 080601 (2005)\\ 2) G. Margolin, V. Protasenko, M. Kuno,E. Barkai Advances in Chemical Physics 133 327 (2006).

@incollection{statphys23_0348, abstract = {Quantum dots (QD) interacting with a continuous wave laser field, exhibit intermittent blinking, where the QD turns from state on where it emits many photons to state off and vice versa. We investigate the non-ergodic properties of blinking QDs modeled by a Levy-walk stochastic process [1]. Using a non-ergodic mean field approach we calculate the distribution functions of the time averaged intensity correlation function. We show that these distributions are not delta peaked on the ensemble average correlation function values; instead they are W or U shaped and related to the arcsine law. Physical origin of the blinking is explained based on a diffusion model and comparison between experiment and theory is made [2]. Beyond blinking nano- crystals our results describe ergodicity breaking in systems modeled by Levy walks, for example, certain types of chaotic maps, and spin dynamics to name a few. 1) G. Margolin, E. Barkai Phys. Rev. Letters 94 080601 (2005)\\ 2) G. Margolin, V. Protasenko, M. Kuno,E. Barkai Advances in Chemical Physics 133 327 (2006).}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Barkai, E. and Margolin, G.}, biburl = {https://www.bibsonomy.org/bibtex/2a660319b67caf2a9274ee48879e86fc4/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {7cbe514c94ede225520c7304c57d8cf2}, intrahash = {a660319b67caf2a9274ee48879e86fc4}, keywords = {crystals dots ergodicity experiement l\'evy nano non quantum statistics statphys23 theory topic-3 vs}, month = {9-13 July}, timestamp = {2007-06-20T10:16:17.000+0200}, title = {Non-ergodicity of Blinking Quantum Dots and Other L\'evy Walk Processes}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=348}, year = 2007 }