University of Toronto
                  PDE/Applied Math/Analysis Seminar
                    Friday 6 October, 12:10-1:00pm
                          2195 Bahen Center      



SPEAKER:  Walid Abou Salem

TITLE:    Large deviations for quantum spin systems out of equilibrium and 
	  a nonequilibrium central limit theorem

ABSTRACT: The nonequilibrium steady state (NESS) of a quantum spin system 
	  composed of a finite subsystem coupled to infinite reservoirs at 
	  different temperatures is considered. The large deviation 
	  principle for the distribution of empirical averages of NESS 
	  expectation value of onsite observables in the thermodynamic 
	  limit is proven. In particular, under suitable assumptions on 
	  the interaction, a high temperature cluster expansion is used to 
	  show the existence of the corresponding large deviation generating 
	  functional. Furthermore, analyticity of the large deviation 
	  generating functional implies a nonequilibrium central limit 
	  theorem. As an application, the NESS of the two-sided XY-chain is 
	  considered.


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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2006-2007 organizers:
          Pieter Blue           pblue@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Robert McCann		mccann@ math.toronto.edu
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