Floquet behavior of correlated systems with light-matter coupling*

Periodically driven nonequilibrium many-body systems have a quasi-energy spectrum which can be tailored by external driving fields, known as Floquet engineering of desired system properties [Sentef et al., Nat. Comm. 6, 7047 (2015); Uhrig et al, arXiv:1808.10199 (2018)]. However, continuous periodic driving is not realizable in pump-probe experiments in solids. For instance it is not clear which criteria a pulse has to meet for a system exposed to a pulsed drive to approach the Floquet limit of a periodically driven system. However, there are analytical results for noninteracting band electrons in infinite dimensions [Kalthoff et al., Phys. Rev. B 98, 035138 (2018)]. Moreover we discuss t-DMRG results for interacting 1D chains in the charge density wave phase to study the emergence of Floquet behavior for realistic pulse shapes. This builds on the recently proposed Floquet engineering in quantum chains [Kennes et al., Phys. Rev. Lett. 120, 127601(2018)].