Also, this ramp is directly responsible for the late-time peak of Krylov complexity observed in the literature. On the other hand, for non-chaotic systems, this long ramp is absent. Therefore, our results help to clarify which features of the wave function time evolution in Krylov space ...
In particular, we show that the subleading correction to the early-time linear growth of complexity always appears with a minus sign, bounding the growth of complexity to be at most linear, demonstrating a general feature of 1Recently, the relation between Krylov and circuit complexity has been...