"Non-equilibrium stationary states in the driven Hubbard model"
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"I shall present a recent work concerning the non-equilibrium dynamics
of a strongly correlated electrons systems in a static electric field,
with the aim of identifying the conditions to reach a non-equilibrium
stationary state (NSS).
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I show that, for a generic electric field, the convergence to a
stationary state requires the coupling to a thermostating bath,
absorbing the work done by the external force. By following the
real-time dynamics of the system, I also show that coupling to bath
provides an essentially sufficient condition, i.e. NSS can be reached
for almost any value of dissipation. I characterize the properties of
the NSS in terms of some physical observables, pointing out the
existence of an analogue of the Pomeranchuk effect. Finally, I map out
 a phase diagram of the system and I identify a dissipation regime for
which steady current is largest for a given field."