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SUMMARY:The Rate of Convergence in the Quantum Central Limit Theorem and A
 pplications  - Marcus Cramer\, Ulm University
DTSTART:20150226T141500Z
DTEND:20150226T151500Z
UID:TALK57642@talks.cam.ac.uk
CONTACT:William Matthews
DESCRIPTION:I will discuss a Berry—Esseen bound for local observables on
  quantum lattice systems. It bounds the rate at which macroscopic fluctuat
 ions approach normality. Presented applications include the normality of t
 he density of states\, the local equivalence of microcanonical and canonic
 al ensembles\, and\, in the setting of quantum quenches\, the local therma
 lization under random Hamiltonians and a bound on the effective dimension 
 (or inverse participation ratio or purity) of equilibrium states. 
LOCATION:MR4\,  Centre for Mathematical Sciences\, Wilberforce Road\, Camb
 ridge
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