Non-equilibrium dynamics of the driven Hubbard model

ORAL

Abstract

We investigate the dynamics of a two-dimensional Hubbard model in a static electric field in order to identify the conditions to reach a non-equilibrium stationary state. 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. Following the real-time dynamics of the system, we show that a non-equilibrium stationary state is reached for essentially any value of the coupling to the bath. We map out a phase diagram in terms of dissipation and electric field strengths and identify the dissipation values in which steady current is largest, and correspondingly a suitable entropy function is smallest, for a given field.

–

Authors

  • Adriano Amaricci

    CNR-IOM, uos SISSA Trieste, Via Bonomea 265, 34125 Italy

  • Cedric Weber

    Cavendish Laboratory, Cambridge University, J.J. Thomson Ave. , Cambridge, UK, University of Cambridge

  • Massimo Capone

    CNR-IOM, uos SISSA Trieste, Via Bonomea 265, 34125 Italy/Physics Department, University ``Sapienza'', Piazzale A. Moro 2, 00185 Rome, Italy

  • Gabriel Kotliar

    Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA, Department of Physics and Astronomy, Rutgers University, Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, Rutgers University