  We study the high harmonic generation (HHG) in Mott insulators using Floquet
dynamical mean-field theory (DMFT). We show that the main origin of the HHG in
Mott insulators is the doublon-holon recombination, and that the character of
the HHG spectrum differs depending on the field strength. In the weaker-field
regime, the HHG spectrum shows a single plateau as in the HHG from gases, and
its cut-off energy $\epsilon_{\rm cut}$ scales linearly with the field strength
$E_0$ as $\epsilon_{\rm cut}=\Delta_{\rm gap} + \alpha E_0$, where $\Delta_{\rm
gap}$ is the Mott gap. On the other hand, in the stronger-field regime,
multiple plateaus emerge and the $m$-th cut-off scales as $\epsilon_{\rm
cut,m}=U + m E_0$. We show that this difference originates from the different
dynamics of the doublons and holons in the weak- and strong-field regimes. We
also comment on the similarities and differences between HHG from Mott
insulators and from semiconductors. This proceedings paper complements our
recent work, Phys. Rev. Lett. 121, 057405 (2018), with additional results and
analyses.
