Exponential dynamical localization in N-particle Anderson models on graphs with long-range interaction via Fractional Moment Analysis

Add to your list(s) Download to your calendar using vCal

• Tchoulaevski, V (Universit de Reims Champagne-Ardenne)
• Wednesday 18 February 2015, 14:00-15:00
• Seminar Room 2, Newton Institute Gatehouse.

If you have a question about this talk, please contact Mustapha Amrani.

Periodic and Ergodic Spectral Problems

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 2, Newton Institute Gatehouse
• bld31

Note that ex-directory lists are not shown.