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Within the multielectron model of magnetic insulator with spin crossoverunder high pressure we have studied the mean field phase diagrams in pressuretemperature plane and dynamics of a sudden excited non equilibrium spin state.We obtain the different relaxation of the magnetization, high spin/low spinoccupation numbers, and the metal oxygen bond length for different values ofthe external pressure. We found the long living oscillations of magnetizationwithout pressure and at small external pressure. Close to crossover pressurethe smooth relaxation is accompanied with a set of sharp strongly non linearoscillations of magnetization and HS/LS occupation numbers that are accompaniedby the Franck Condon resonances.

Ultrafast dynamics of light-induced spin crossovers under high pressure