2007
DOI: 10.1063/1.2798764
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Excitation, dynamics, and control of rotationally autoionizing Rydberg states of H2

Abstract: The dynamics of rotationally autoionizing Rydberg states of molecular hydrogen is investigated using a time-dependent extension of multichannel quantum defect theory, in which the time-dependent wave packets are constructed using first-order perturbation theory. An analytical expression for the complex excitation function for a sequence of Gaussian excitation pulses is derived and then employed to investigate the influence of pairs of pulses with well-defined phase differences on the decay dynamics and final-s… Show more

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Cited by 25 publications
(22 citation statements)
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“…The link between IXS and EELS suggests that the codes developed here could be useful for detailed analysis of ultrafast electron diffraction (UED) data, as long as the nuclear-scattering contribution is included in the elastic terms. 71 Future extensions of this work would be to include the effect of nuclear motion in the IXS signal, as we have recently done for elastic scattering, 37,38 and to consider Compton ionization by the inclusion of continuum states either via multichannel quantum defect formalism [72][73][74] or a Dyson orbital approach. 75 We also aim to examine in greater detail the mapping of the wavefunction in momentum space made possible by inelastic measurements.…”
Section: Discussionmentioning
confidence: 99%
“…The link between IXS and EELS suggests that the codes developed here could be useful for detailed analysis of ultrafast electron diffraction (UED) data, as long as the nuclear-scattering contribution is included in the elastic terms. 71 Future extensions of this work would be to include the effect of nuclear motion in the IXS signal, as we have recently done for elastic scattering, 37,38 and to consider Compton ionization by the inclusion of continuum states either via multichannel quantum defect formalism [72][73][74] or a Dyson orbital approach. 75 We also aim to examine in greater detail the mapping of the wavefunction in momentum space made possible by inelastic measurements.…”
Section: Discussionmentioning
confidence: 99%
“…It is straightforward to control the characteristic time scale of the dynamics by changing the excitation energy [21], and technologies exist to shape the wave packets [22,23]. The anisotropy induced by the optical excitation pulse increases the amount of information available.…”
mentioning
confidence: 99%
“…The expansion coefficients c i are determined by the response of the atoms to the pump pulse. In the absence of multiphoton processes, these coefficients are given by first order perturbation theory, with c i ¼ 2π{D is εðE is Þ, where εðEÞ is the spectral profile of the pump pulse and D is the state-specific dipole transition moment [21]. We now examine the structure of the wave packet in each atom in greater detail.…”
mentioning
confidence: 99%
“…One possible ansatz expands the wavepacket in the complete basis of orthonormal eigenstates |Ψ j of the molecular HamiltonianĤ 0 (see e.g., Ref. [36]),…”
Section: Wavepacket Dynamicsmentioning
confidence: 99%