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].

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[3] H. Aoki et al., Rev. Mod. Phys. 86, 779 (2014).
[4] Y. Murakami, M. Eckstein and P. Werner, in preparation.
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[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.