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SUMMARY:Exponential dynamical localization in N-particle Anderson models o
 n graphs with long-range interaction via Fractional Moment Analysis - Tcho
 ulaevski\, V (Universit de Reims Champagne-Ardenne)
DTSTART:20150218T140000Z
DTEND:20150218T150000Z
UID:TALK58028@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION: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 int
 eraction of infnite range. In the strong disorder regime\, we prove comple
 te 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.\n\nWe als
 o comment on recent results on exponential spectrallocalization in presenc
 e of a slower (sub-exponentially) decaying interaction\,in discrete and co
 ntinuous models.\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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