Fig. 8

In blue, mean value and standard deviation of the x-velocity of the 10 trajectories in Fig. 6 at 20 different times (left axis) computed from the weak value in Eq. (37), which corresponds to the (first order) time derivative of the weak value of the post-selected in \(x-\)position. In orange, the mean value and standard deviation of the predicted value of the magnetic field computed from the Eq. (39) for the 10 trajectories in Fig. 6. Notice that all values are computed from the weak value of the position post-selected in position and their (first or second-order) time-derivative.