Title : (Non equilibrium) thermodynamics of classical integrable models in their
thermodynamic limit
Abstract:
Motivated by recent experimental developments in atomic physics, a large
theoretical effort has been devoted to the analysis of the dynamics of
quantum isolated systems after a sudden quench. In this talk I will
describe the evolution of a family of classical many-body integrable
(Neumann) models after instantaneous quenches of the same kind. The
asymptotic dynamics of these models can be fully elucidated, and the
stationary properties (in the thermodynamic limit) compared to the ones
obtained exactly using a Generalised Gibbs Ensemble. The latter can not
only be built but also used to evaluate analytically all relevant
observables, a quite remarkable fact for an interacting integrable system
with a non-trivial phase diagram.