To compare the results of the simulations, Fig. shows the expectation of the displacement coordinate, ⟨q(t)⟩, for the three simulations. Fig. shows the expectation value of the displacement coordinate in the reference simulation while Fig. shows the value of the perturbation parameter c(t) used to model the Gaussian pulse. The initial value of ⟨q(t)⟩ is -48.298 a.u. which corresponds to the initial density shown in Fig. . In the initial 600 fs of the simulation, ⟨q(t)⟩ exhibits very small oscillations. This is before the perturbation parameter has become large enough to affect the wavefunction and these oscillations arise from the initial state not being an exact stationary state. As the perturbation parameter increases in amplitude ⟨q(t)⟩ begins to oscillate. It is observed that two overall oscillations are induced, one with a short period and one with a longer period.. During the remainder of the simulation, the oscillations in ⟨q(t)⟩ continues. The value of ⟨q(t)⟩ remain negative for the entire simulation, in agreement with the the simulation video in Fig. , where density oscillates back and fourth but is at all times primarily localized in the left well.