My research activity, in the last years, has been focused on the general problem of quantum thermalization
and out-of-equilibrium in quantum systems and statistical mechanics. I focused on this issue from two intertwined
points of view: the study of localization in interacting disordered systems and the long-time dynamics
after a quench. In both cases, the relevant question regards the nature of the typical eigenstate of
the Hamiltonian performing the time evolution: translating the one particle problem, studied by P.
Anderson, back to 1958, in the many-body Hilbert space, delocalized states give rise to ergodicity and
the system is well described by a thermal ensemble.
On the contrary, when localization occurs the
effect is both concretely measurable as the system becomes an insulator or, it manifests itself in the
failure of the Gibbs description. For such studies, I combine both analytical tools (integrability, mean
field and perturbation theory) and numerical techniques (exact diagonalization and Montecarlo).
I am currently interested in the study of the emergence of localization in driven systems in weak contact with a thermal reservoir.
I am also very interested in the problem of quantum transport in one-dimensional wires.