We study spread complexity and the statistics of work done for quenches in
the three-spin interacting Ising model, the XY spin chain, and the
Su-Schrieffer-Heeger model. We study these models without quench and for
different schemes of quenches, such as sudden quench and multiple sudden
quenches. We employ the Floquet operator technique to investigate all three
models in the presence of time-dependent periodic driving of parameters. In
contrast to the sudden quenched cases, the periodically varying parameter case
clearly shows non-analytical behaviour near the critical point. We also
elucidate the relation between work done and the Lanczos coefficient and how
the statistics of work done behave near critical points.Comment: 23 pages, 18 figure