Nonequilibrium Dynamical Mean Field Theory*

A widely used approximate method for studying the equilibrium properties of correlated lattice systems and materials is the dynamical mean field theory (DMFT) [1]. This formalism, which is based on the assumption of local interactions and local self-energies, can be generalized to nonequilibrium problems [2,3]. I will discuss the nonequilibrium DMFT simulation of photo-excited Mott insulating systems, with a focus on recent extensions of the formalism, which capture the effects of time-periodic driving, nonlocal correlations, and multi-orbital interactions. In particular, I will consider the high-harmonic generation in Mott insulators [4], the cooling of photo-doped carriers by local and nonlocal spin [5,6] and charge [7] excitations, and the nontrivial effect of photo-carriers on the pairing susceptibility in strongly correlated multi-orbital systems [8].

[1] A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
[2] J. K. Freericks, V. M. Turkowski, and V. Zlatic, Phys.Rev. Lett. 97, 266408 (2006).
[3] H. Aoki et al., Rev. Mod. Phys. 86, 779 (2014).
[4] Y. Murakami, M. Eckstein and P. Werner, in preparation.
[5] M. Eckstein and P. Werner, Scientific Reports 6, 21235 (2016).
[6] H. Strand, D. Golez, M. Eckstein and P. Werner, Phys. Rev. B 96, 165104 (2017).
[7] D. Golez, L. Boehnke, H. Strand, M. Eckstein and P. Werner, Phys. Rev. Lett. 118, 246402 (2017).
[8] P. Werner et al., in preparation.