  When a system is driven across a second-order quantum phase transition, the
number of defects which are produced scales with the speed of the variation of
the tuning parameter according to a universal law described by the Kibble-Zurek
mechanism. We study a possible breakdown of this prediction proving that the
number of defects can exhibit another universal scaling law which is still
related only to the critical exponents $z$ and $\nu$, but differs from the
Kibble-Zurek result. Finally we provide an example, the deformed Fredkin spin
chain, where this violation of the standard adiabatic dynamics can occur.

Statistical Mechanics;Quantum Physics