An unusual behavior of the disappearance and the reappearance of the hysteresis loop of the spin crossover compounds under external pressure was observed experimentally by Garcia [Hyperfine Interact. 139/140, 543 (2002)] and modeled within the framework of the "atom-phonon coupling" model. In this contribution we explain the evolution of the hysteresis width versus the applied pressure. Using the same model, we also show the existence of stable as well as metastable and unstable states at very low temperatures. These excited metastable electronic spin states at low temperature can be associated to the "out of equilibrium" states in the light-induced electronic spin state trapping. © 2009 American Institute of Physics.