Mean Field Theory for Nonequilibrium Network Reconstruction

Nonequilibrium dynamical mean-field theory.

The many-body formalism for dynamical mean-field theory is extended to treat nonequilibrium problems. We illustrate how the formalism works by examining the transient decay of the oscillating current that is driven by a large electric field turned on at time t=0. We show how the Bloch oscillations are quenched by the electron-electron interactions, and how their character changes dramatically f...

Nonequilibrium dynamical mean-field theory

Impurity problems for steady-state nonequilibrium dynamical mean-field theory

The mapping of steady-state nonequilibrium dynamical mean-field theory from the lattice to the impurity is described in detail. Our focus is on the case with current flow under a constant dc electric field of arbitrary magnitude. In addition to formulating the problem via path integrals and functional derivatives, we also describe the distribution function dependence of the retarded and advance...

Hamiltonian-based impurity solver for nonequilibrium dynamical mean-field theory

We derive an exact mapping from the action of nonequilibrium dynamical mean-field theory (DMFT) to a single-impurity Anderson model (SIAM) with time-dependent parameters, which can be solved numerically by exact diagonalization. The representability of the nonequilibrium DMFT action by a SIAM is established as a rather general property of nonequilibrium Green functions. We also obtain the noneq...

Solving nonequilibrium dynamical mean-field theory using matrix product states

F. Alexander Wolf,1 Ian P. McCulloch,2 and Ulrich Schollwöck1 1Theoretical Nanophysics, Arnold Sommerfeld Center for Theoretical Physics, LMU Munich, Theresienstrasse 37, 80333 München, Germany 2Centre for Engineered Quantum Systems, School of Physical Sciences, The University of Queensland, Brisbane, Queensland 4072, Australia (Received 13 October 2014; revised manuscript received 27 November ...