The role of many-body and topological effects at high harmonics generation in novel nanostructures

The proposed project concerns one of the most active and exciting branches of modern physics-nonlinear nanophotonics. Specifically, we will investigate the high-order harmonic generation process with underlying nonequilibrium phenomena in novel nanostructures uncovering the roles of many-body interactions and topological order at the extreme conditions. The proposed tasks include the processes of interaction of the one-dimensional Fermi-Hubbard, Su-Schrieffer-Heeger and Kitaev chains; two-dimensional semimetals, semiconductors, and insulators with hexagonal lattice structure, as well as the three-dimensional Dirac/Weil semimetals, Mott and Anderson insulators with the intense laser radiation leading to extreme nonlinear and collective many-body response of these nanosystems to the applied pump fields. The solution of the issues stated in the proposed project will clear up our knowledge about the multiparticle dynamics in such systems of attosecond/picometre resolution and will allow us to find out the optimal conditions for operation of the new nano-optoelectronic devices, such as nanoscale frequency multipliers.