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SUMMARY:Localization bounds for multiparticle systems - Warzel\, S (Techni
 schen Universitt Mnchen)
DTSTART:20081216T113000Z
DTEND:20081216T123000Z
UID:TALK15726@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider the spectral and dynamical properties of quantum s
 ystems of N particles on the lattice $Z^d$\, of arbitrary dimension\, with
  a Hamiltonian which in addition to the kinetic term includes a random pot
 ential with iid values at the lattice sites and a finite-range interaction
 . Two basic parameters of the model are the strength of the disorder and t
 he strength of the interparticle interaction. It is established here that 
 for all N there are regimes of high disorder\, and/or weak enough interact
 ions\, for which the system exhibits spectral and dynamical localization. 
 The localization bounds are expressed in terms of exponential decay in the
  Hausdorff distance in the configuration space. The results are derived th
 rough the analysis of fractional moments of the N-particle Green function\
 , and related bounds on the eigenfunction correlators.
LOCATION:Seminar Room 1\, Newton Institute
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