Abstract
Intense and ultrashort light pulses allow to investigate new states of matter in complex materials under non-equilibrium conditions. The formulation of dynamical mean-field theory (DMFT) using Keldysh Green’s functions provides a framework to calculate the electronic structure of correlated materials out of equilibrium. The approach has contributed insight into a wide range of topics, including photo-induced processes in Mott insulators, non-equilibrium steady states in driven materials, and the fundamental question how isolated quantum systems thermalize. In this chapter we outline the theoretical foundations of non-equilibrium DMFT, present some of the major results so far, and briefly discuss future directions, which are needed in order to develop a framework in which material properties out of equilibrium can be obtained from first principles.
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Eckstein, M. (2020). Non-equilibrium Dynamical Mean-Field Theory. In: Andreoni, W., Yip, S. (eds) Handbook of Materials Modeling. Springer, Cham. https://doi.org/10.1007/978-3-319-44677-6_1
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