Quantum dynamics of charge transfer on the one-dimensional lattice: Wave packet spreading and recurrence

Likhachev V N, Shevaleevskii O I, Vinogradov G A^†,

Solid line: sum of partial amplitudes |a₀(t)| + |a₁(t)| + ··· + |a₈(t)|. Dashed lines: partial amplitudes |a₀|, |a₁|, …, |a₈| starting approximately at time instantst_k= (N/2)k= 5k,k= 0, 1, …, 8. Maximal value of returned amplitude is ≈ 0.97 att= 42. Empty circles: numeric results, MSRE ≲ 10⁻⁵. Parameters:N= 10,E= 0,C²= 0.4.