Recent experiments on laser-driven solids have revealed interesting nonequilibrium effects such as light-induced superconducting states [1,2] or switching into long-lived metastable states with novel structures and electronic properties [3]. To investigate and understand such phenomena, new theoretical and computational tools need to be developed. I will present the dynamical mean field approach, which over the past 15 years has been extended into a powerful framework for the simulation of real-time dynamics in correlated lattice systems [4]. After introducing this nonequilibrium Green’s function based technique, I will discuss benchmarks against cold-atom simulators [5], and present recent applications to laser-driven lattice models. These investigations demonstrate the possibility of effectively cooling correlated electron systems [6], and inducing magnetic, superconducting or excitonic order in long-lived nonequilibrium states [7,8]. I will comment on the implications of these findings for the experiments on light-induced superconductivity.
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[2] M. Mitrano, A. Cantaluppi, D. Nicoletti, S. Kaiser, A. Perucchi, S. Lupi, P. Di Pietro, D. Pontiroli, M. Ricco, S. R. Clark, D. Jaksch, and A. Cavalleri, Nature 530, 461 (2016).
[3] L. Stojchevska, I. Vaskivskyi, T. Mertelj, P. Kusar, D. Svetin, S. Brazovskii, and D. Mihailovic, Science 344, 177 (2014).
[4] H. Aoki, N. Tsuji, M. Eckstein, M. Kollar, T. Oka, and P. Werner, Rev. Mod. Phys. 86, 779 (2014).
[5] K. Sandholzer, Y. Murakami, F. Goerg, J. Minguzzi, M. Messer, R. Desbuquois, M. Eckstein, P. Werner, and T. Esslinger, Phys. Rev. Lett. 123, 193602 (2019).
[6] P. Werner, M. Eckstein, M. Mueller, and G. Refael, Nature Comm. 10, 5556 (2019).
[7] P. Werner, J. Li, D. Golez, and M. Eckstein, Phys. Rev. B 100, 155130 (2019).
[8] P. Werner and Y. Murakami, Phys. Rev. B 102, 241103(R) (2020).