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

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

The comparison of partial amplitudes sum |a₀| + |a₁| + |a₂| (solid line) with the numeric integration (dashed line). Dotted lines: partial amplitudes |a₀|, |a₁|, |a₂| “starting” at timest= 0, 2, 4, correspondingly. A small divergence is observed only att> 8 where the unaccounted partial amplitude |a₄| (dash-dotted line) starts to contribute. Parameters:N= 2,E= 1,C= 0.5, MSRE ≲ 10⁻⁴.