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Auxiliary Hamiltonian representation of the nonequilibrium Dyson equation
Karsten Balzer, Martin Eckstein
The nonequilibrium Dyson (or Kadanoff-Baym) equation, which is an equation of motion with long-range memory kernel for real-time Green functions, underlies many numerical approache…
Nonequilibrium dynamical mean-field theory and its applications
Hideo Aoki, Naoto Tsuji, Martin Eckstein +3
The study of nonequilibrium phenomena in correlated lattice systems has developed into an active and exciting branch of condensed matter physics. This research field provides rich…
Phonon-enhanced relaxation and excitation in the Holstein-Hubbard model
Philipp Werner, Martin Eckstein
We study quenches of the interaction and electron-phonon coupling parameter in the Hubbard-Holstein model, using nonequilibrium dynamical mean field theory. The calculations are ba…
Hamiltonian-based impurity solver for nonequilibrium dynamical mean-field theory
Christian Gramsch, Karsten Balzer, Martin Eckstein +1
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…
Nonequilibrium self-energy functional theory
Felix Hofmann, Martin Eckstein, Enrico Arrigoni +1
The self-energy functional theory (SFT) is generalized to describe the real-time dynamics of correlated lattice-fermion models far from thermal equilibrium. This is achieved by mea…
Nonequilibrium dynamical mean field simulation of inhomogeneous systems
Martin Eckstein, Philipp Werner
We extend the nonequilibrium dynamical mean field (DMFT) formalism to inhomogeneous systems by adapting the "real-space" DMFT method to Keldysh Green's functions. Solving the coupl…