  We study a subsystem of an isolated one-dimensional correlated metal when it
is driven by a steady electric field or when it relaxes after driving. We
obtain numerically exact reduced density matrix $\rho$ for subsystems which are
sufficiently large to give significant eigenvalue statistics and spectra of
$\log(\rho)$. We show that both for generic as well as for the integrable model
the statistics follows the universality of Gaussian unitary and orthogonal
ensembles for driven and equilibrium systems, respectively. Moreover, the
spectra of modestly driven subsystems are well described by the Gibbs thermal
distribution with the entropy determined by the time-dependent energy only.
