TY - JOUR A1 - Paramonov, Guennaddi K. A1 - Kühn, Oliver A1 - Bandrauk, André D. T1 - Excitation of H+ 2 with one-cycle laser pulses BT - shaped post-laser-field electronic oscillations, generation of higher- and lower-order harmonics JF - Molecular physics : MP ; an international journal in the field of chemical physics N2 - Non-Born–Oppenheimer quantum dynamics of H+ 2 excited by shaped one-cycle laser pulses linearly polarised along the molecular axis have been studied by the numerical solution of the time-dependent Schrödinger equation within a three-dimensional model, including the internuclear separation, R, and the electron coordinates z and ρ. Laser carrier frequencies corresponding to the wavelengths λ l = 25 nm through λ l = 400 nm were used and the amplitudes of the pulses were chosen such that the energy of H+ 2 was close to its dissociation threshold at the end of any laser pulse applied. It is shown that there exists a characteristic oscillation frequency ωosc ≃ 0.2265 au (corresponding to the period of τosc ≃ 0.671 fs and the wavelength of λosc ≃ 201 nm) that manifests itself as a ‘carrier’ frequency of temporally shaped oscillations of the time-dependent expectation values ⟨z ⟩ and ⟨∂V/∂z ⟩ that emerge at the ends of the laser pulses and exist on a timescale of at least 50 fs. Time-dependent expectation values ⟨ρ⟩ and ⟨∂V /∂ρ⟩ of the optically passive degree of freedom, ρ, demonstrate post-laser-field oscillations at two basic frequencies ωρ 1 ≈ ωosc and ωρ 2 ≈ 2ωosc. Power spectra associated with the electronic motion show higher- and lower-order harmonics with respect to the driving field. KW - One-cycle laser pulses KW - post-laser-field electronic oscillations KW - generation of higher and lower harmonics Y1 - 2017 U6 - https://doi.org/10.1080/00268976.2017.1288938 SN - 0026-8976 SN - 1362-3028 VL - 115 IS - 15/16 SP - 1846 EP - 1860 PB - Taylor & Francis CY - London ER -