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SUMMARY:Expansion potentials for exact far-from-equilibrium spreading of e
 nergy in the XXZ model - Joel Moore (University of California\, Berkeley)
DTSTART:20160111T113000Z
DTEND:20160111T123000Z
UID:TALK64616@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-authors: Romain Vasseur		(UC Berkeley)\, Christoph Karrasch
 		(UC Berkeley\; FU Berlin)<span><br><span><br>The rates at which energy a
 nd particle densities move to equalize arbitrarily large temperature and c
 hemical potential differences in a closed quantum system have an emergent 
 thermodynamical description whenever energy or particle current commutes w
 ith the Hamiltonian.  Concrete examples include the energy current in the 
 1D spinless fermion model with nearest-neighbor interactions (XXZ spin cha
 in)\, energy current in Lorentz-invariant theories or particle current in 
 interacting Bose gas in arbitrary dimension.   Even far from equilibrium\,
  these rates are controlled by state functions (generalized pressures or "
 expansion potentials")\, expressed as integrals of equilibrium Drude weigh
 ts.  This relation between nonequilibrium quantities and linear response i
 mplies non-equilibrium Maxwell relations for the Drude weights which expla
 in some old XXZ model identities.  We verify our results via DMRG calculat
 ions for the XXZ chain\, which suggest some interesting additional fe atur
 es beyond the analytical results.</span></span>
LOCATION:Seminar Room 1\, Newton Institute
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