“…3(b) reveals the slow time evolution of p x (b N,x ), p Mx (M x ) remains constant for the simulation times t < 10 000T * . In a real system, however, several different processes such as the dipole-dipole interaction between the nuclear spins [39], fluctuating quadrupolar splittings of nuclei [40], due to the recharging processes and the photoexcitation [8,41] contribute to the nuclear spin relaxation that occurs on a much larger time scale as considered up to now. In order to analyse this effect we employ the phenomenological approach where we (i) use the box model for simplicity, (ii) calculate the electron spin noise The longitudinal nuclear spin relaxation time T 1,N is much larger than any time scale related to the electron spin dynamics.…”