Exponential dynamical localization in N-particle Anderson models on graphs with long-range interaction via Fractional Moment Analysis
1 hour 4 mins,
928.37 MB,
MPEG-4 Video
640x360,
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About this item
| Description: |
Tchoulaevski, V (Université de Reims Champagne-Ardenne)
Wednesday 18 February 2015, 14:00-15:00 |
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| Created: | 2015-02-19 09:23 |
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| Collection: | Periodic and Ergodic Spectral Problems |
| Publisher: | Isaac Newton Institute |
| Copyright: | Tchoulaevski, V |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | In this talk, we extend the techniques of the multi-particle variant of the Fractional Moment Method,developed by Aizenman and Warzel, to disordered quantum systems in general finite or countable graphs with polynomial growth of balls, in presence of an exponentially decaying interaction of infnite range. In the strong disorder regime, we prove complete exponential multi-particle strong dynamical localization. Prior results, obtained with the help of the multi-scale analysis, proved only a sub-exponential decay of eigenfunction correlators for such systems.
We also comment on recent results on exponential spectrallocalization in presence of a slower (sub-exponentially) decaying interaction,in discrete and continuous models. |
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