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SUMMARY:Nonequilibrium dynamics in the Hubbard model - Michael Moeckel (Ch
 em)
DTSTART:20130213T113000Z
DTEND:20130213T121000Z
UID:TALK43347@talks.cam.ac.uk
CONTACT:Dr. Mike Towler
DESCRIPTION:The (fermionic) Hubbard model is often considered as the parad
 igmatic minimal model for correlated electrons on lattices. Recent progres
 s in the field of ultracold atom gases and pump-probe spectroscopy of corr
 elated materials has stimulated interest in its nonequilibrium properties.
  Those can be probed by quantum quenches\, i.e. nonadiabatic changes of pa
 rameters (e.g. the interaction) in real time. I will briefly review my ear
 lier work based on perturbative and RG approaches to show that the respons
 e to small quenches within the Fermi liquid regime is generic\, i.e. does 
 not depend on\nthe dimension (d>1) and lattice structure of the model [1].
  Quenches across the phase transition are numerically challenging. A brief
  outlook to recent\nwork [2] will be given which has shown that large simi
 larities between the real time and the imaginary time evolution exist whic
 h may allow to probe\ndynamical critical exponents using imaginary time pr
 ojector QMC methods with i-time dependent Hamiltonians.\n\n[1] M. Moeckel 
 and S. Kehrein\, PRL 100\, 175702 (2008) \n\n[2] C. De Grandi\,1 A. Polkov
 nikov\,2 and A. W. Sandvik arxiv 1301.2329 (2013)
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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