  The nitrogen-vacancy (NV) center in a diamond is a promising platform for
Floquet system. We investigate NV center's Floquet state driven by Carr-Purcell
sequence in a large-amplitude AC magnetic field using the sequential readout.
We observe the dynamics represented as Bessel functions up to 211th orders high
in a systematic and quantitative agreement with the theoretical model.
Furthermore, numerical calculations show that the effect of finite pulse
duration and error limits the modulation amplitude available for Floquet
engineering. This work provides an approach to precisely investigate Floquet
engineering, showing the extendable range of modulation amplitude, for
two-level systems.
