  In this paper we have studied analytically and numerically dynamics of spin
crossover induced by time-dependent pressure. We show that quasi static
pressure, with a slow dependence on time, yields a spin crossover leading to
transition from the state of quantum system with high spin (HS) to the low spin
(LS). However, a quench dynamics under shock-wave load is more complicated. The
final state of the system depends on the amplitude and pulse velocity,
resulting in the mixture of the HS and LS states.
