title: Eigenvalue statistics of reduced density matrix during driving and relaxation.
abstract: 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 ρ for subsystems which are sufficiently large to give significant eigenvalue statistics and spectra of log(ρ). 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.
authors.affiliation: Institute of Physics, University of Silesia, 40-007 Katowice, Poland.
authors.forename: M
authors.initials: M
authors.lastname: Mierzejewski
authors.affiliation: Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia.
authors.forename: T
authors.initials: T
authors.lastname: Prosen
authors.affiliation: Institute of Physics, University of Silesia, 40-007 Katowice, Poland.
authors.forename: D
authors.initials: D
authors.lastname: Crivelli
authors.affiliation: Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia and Jožef Stefan Institute, SI-1000 Ljubljana, Slovenia.
authors.forename: P
authors.initials: P
authors.lastname: Prelovšek