Université de Fribourg

Nonequilibrium dynamical mean-field theory for bosonic lattice models

Strand, Hugo U. R. ; Eckstein, Martin ; Werner, Philipp

In: Physical Review X, 2015, vol. 5, no. 1, p. 011038

We develop the nonequilibrium extension of bosonic dynamical mean-field theory and a Nambu real-time strong-coupling perturbative impurity solver. In contrast to Gutzwiller mean-field theory and strong-coupling perturbative approaches, nonequilibrium bosonic dynamical mean-field theory captures not only dynamical transitions but also damping and thermalization effects at finite temperature. We...

Université de Fribourg

Field-induced polaron formation in the Holstein-Hubbard model

Werner, Philipp ; Eckstein, Martin

In: EPL (Europhysics Letters), 2015, vol. 109, no. 3, p. 37002

We study the effect of strong DC and pulsed electric fields on a Mott insulating system with coupling to optical phonons. A DC field of the order of the gap induces a metallic state characterized by polaronic features in the gap region and a partially inverted population. In this quasi-steady state, the field-induced doublon-hole production is balanced by a phonon-enhanced doublon-hole...

Université de Fribourg

Nonequilibrium dynamical mean-field theory and its applications

Aoki, Hideo ; Tsuji, Naoto ; Eckstein, Martin ; Kollar, Marcus ; Oka, Takashi ; Werner, Philipp

In: Reviews of Modern Physics, 2014, vol. 86, no. 2, p. 779–837

The study of nonequilibrium phenomena in correlated lattice systems has developed into one of the most active and exciting branches of condensed matter physics. This research field provides rich new insights that could not be obtained from the study of equilibrium situations, and the theoretical understanding of the physics often requires the development of new concepts and methods. On the...

Université de Fribourg

Phonon-enhanced relaxation and excitation in the Holstein-Hubbard model

Werner, Philipp ; Eckstein, Martin

In: Physical Review B, 2013, vol. 88, no. 16, p. 165108

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 based on a generalized Lang-Firsov scheme for time-dependent interactions or externally driven phonons, and an approximate strong-coupling impurity solver. The interaction quench calculations reveal the phonon-assisted...

Université de Fribourg

Nonequilibrium dynamical mean-field simulation of inhomogeneous systems

Eckstein, Martin ; Werner, Philipp

In: Physical Review B, 2013, vol. 88, no. 7, p. 075135

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 coupled impurity problems using strong-coupling perturbation theory, we apply the formalism to homogeneous and inhomogeneous layered systems with strong local interactions and up to 39 layers. We study the diffusion of...

Université de Fribourg

Dielectric breakdown of Mott insulators – doublon production and doublon heating

Eckstein, Martin ; Werner, Philipp

In: Journal of Physics: Conference Series, 2013, vol. 427, no. 1, p. 012005

Using dynamical mean-field theory and the non-crossing approximation as impurity solver, we study the response of a Mott insulator to strong dc electric fields. The breakdown of the Mott insulating state is triggered by field-induced creation of doublon-hole pairs. In a previous investigation, Ref. [1], it was found that the system approaches a long-lived quasi-steady state in which the current...

Université de Fribourg

Nonthermal Antiferromagnetic Order and Nonequilibrium Criticality in the Hubbard Model

Tsuji, Naoto ; Eckstein, Martin ; Werner, Philipp

In: Physical Review Letters, 2013, vol. 110, no. 13, p. 136404

We study dynamical phase transitions from antiferromagnetic to paramagnetic states driven by an interaction quench in the fermionic Hubbard model using the nonequilibrium dynamical mean-field theory. We identify two dynamical transition points where the relaxation behavior qualitatively changes: one corresponds to the thermal phase transition at which the order parameter decays critically slowly...

Université de Fribourg

Extracting spectral properties from Keldysh Green functions

Dirks, Andreas ; Eckstein, Martin ; Pruschke, Thomas ; Werner, Philipp

In: Physical Review E, 2013, vol. 87, no. 2, p. 023305

We investigate the possibility to assist the numerically ill-posed calculation of spectral properties of interacting quantum systems in thermal equilibrium by extending the imaginary-time simulation to a finite Schwinger-Keldysh contour. The effect of this extension is tested within the standard maximum entropy approach to analytic continuation. We find that the inclusion of real-time data...

Université de Fribourg

Nonthermal symmetry-broken states in the strongly interacting Hubbard model

Werner, Philipp ; Tsuji, Naoto ; Eckstein, Martin

In: Physical Review B - Condensed Matter and Materials Physics, 2012, vol. 86, no. 20, p. 205101

We study the time evolution of the antiferromagnetic order parameter after interaction quenches in the Hubbard model. Using the nonequilibrium dynamical mean-field formalism, we show that the system, after a quench from intermediate to strong interaction, is trapped in a nonthermal state which is reminiscent of a photodoped state and protected by the slow decay of doublons. If the effective...

Université de Fribourg

Relaxation dynamics of the Kondo lattice model

Werner, Philipp ; Eckstein, Martin

In: Physical Review B - Condensed Matter and Materials Physics, 2012, vol. 86, no. 04, p. 045119

We study the relaxation properties of the Kondo lattice model using the nonequilibrium dynamical mean-field formalism in combination with the noncrossing approximation. The system is driven out of equilibrium either by a magnetic field pulse, which perturbs the local singlets, or by a sudden quench of the Kondo coupling. For relaxation processes close to thermal equilibrium (after a weak...