In: Physical Review B, 2019, vol. 99, no. 11, p. 115132
The SachdevYeKitaev (SYK) model describes a strange metal that shows peculiar nonFermiliquid properties without quasiparticles. It exhibits a maximally chaotic behavior characterized by outoftimeordered correlators (OTOCs), and is expected to be a holographic dual to black holes. While a faithful realization of the SYK model in condensedmatter systems may be involved, a striking...

In: Physical Review B, 2017, vol. 96, no. 4, p. 045125
We perform a systematic analysis of the influence of phonon driving on the superconducting Holstein model coupled to heat baths by studying both the transient dynamics and the nonequilibrium steady state (NESS) in the weak and strong electronphonon coupling regimes. Our study is based on the nonequilibrium dynamical meanfield theory, and for the NESS we present a Floquet formulation ...

In: Physical Review A, 2017, vol. 95, no. 1, p. 011601
Exact solutions for local equilibrium and nonequilibrium outoftimeordered correlation (OTOC) functions are obtained for a lattice fermion model with onsite interactions, namely, the FalicovKimball (FK) model, in the large dimensional and thermodynamic limit. Our approach is based on the nonequilibrium dynamical meanfield theory generalized to an extended KadanoffBaym contour. We find...

In: Physical Review B, 2016, vol. 94, no. 24, p. 245114
We use a nonequilibrium implementation of the dynamical cluster approximation (DCA) to study the effect of shortrange correlations on the dynamics of the twodimensional FalicovKimball model after an interaction quench. As in the case of singlesite dynamical meanfield theory, thermalization is absent in DCA simulations, and for quenches across the metalinsulator boundary,...

In: Physical Review B, 2016, vol. 94, no. 11, p. 115126
We study the effect of strong electronphonon interactions on the damping of the Higgs amplitude mode in superconductors by means of nonequilibrium dynamical meanfield simulations of the Holstein model. In contrast to the BCS dynamics, we find that the damping of the Higgs mode strongly depends on the temperature, becoming faster as the system approaches the transition temperature. The...

In: Physical Review B, 2016, vol. 93, no. 9, p. 94509
We study collective amplitude modes of the superconducting order parameter in strongly coupled electronphonon systems described by the Holstein model using the nonequilibrium dynamical meanfield theory with the selfconsistent Migdal approximation as an impurity solver. The frequency of the Higgs amplitude mode is found to coincide with the superconducting gap even in the strongly coupled...

In: Physical Review B, 2015, vol. 91, no. 4, p. 045128
We study the relaxation of the Holstein model after a sudden switchon of the interaction by means of the nonequilibrium dynamical mean field theory, with the selfconsistent Migdal approximation as an impurity solver. We show that there exists a qualitative change in the thermalization dynamics as the interaction is varied in the weakcoupling regime. On the weaker interaction side of this...

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...

In: Physical Review B, 2013, vol. 88, no. 12, p. 125126
We study the HolsteinHubbard model at half filling to explore ordered phases including superconductivity (SC), antiferromagnetism (AF), and charge order (CO) in situations where the electronelectron and electronphonon interactions are strong (comparable to the electronic bandwidth). The model is solved in the dynamical meanfield approximation with a continuoustime quantum Monte Carlo...

In: Physical Review B, 2013, vol. 88, no. 16, p. 165115
We discuss the general formalism and validity of weakcoupling perturbation theory as an impurity solver for nonequilibrium dynamical meanfield theory. The method is implemented and tested in the Hubbard model, using expansions up to fourth order for the paramagnetic phase at half filling and third order for the antiferromagnetic and paramagnetic phase away from half filling. We explore various...
