Time-dependent second Born calculations for model atoms and molecules in strong laser fields
arXiv:1008.4621 · doi:10.1103/PhysRevA.82.033427
Abstract
Using the finite-element discrete variable representation of the nonequilibrium Green's function (NEGF) we extend previous work [K.~Balzer et al., Phys. Rev. A \textbf{81}, 022510 (2010)] to nonequilibrium situations and compute---from the two-time Schwinger-Keldysh-Kadanoff-Baym equations---the response of the helium atom and the heteronuclear molecule lithium hydride to laser fields in the uv and xuv regime. In particular, by comparing the one-electron density and the dipole moment to time-dependent Hartree-Fock results on one hand and the full solution of the time-dependent Schrödinger equation on the other hand, we demonstrate that the time-dependent second Born approximation carries valuable information about electron-electron correlation effects. Also, we outline an efficient distributed memory concept which enables a parallel and well scalable algorithm for computing the NEGF in the two-time domain.
References in corpus (7)
- A two-dimensional, two-electron model atom in a laser pulse: exact treatment, single active electron-analysis, time-dependent density functional theory, classical calculations, and non-sequential ionization
- Time-propagation of the Kadanoff-Baym equations for inhomogeneous systems
- Rabi Oscillations and Few-Level Approximations in Time-Dependent Density Functional Theory
- Efficient grid-based method in nonequilibrium Green's function calculations. Application to model atoms and molecules
- Multiconfigurational time-dependent Hartree-Fock calculations for photoionization of one-dimensional Helium
- Total energies from variational functionals of the Green function and the renormalized four-point vertex
- Finite elements and the discrete variable representation in nonequilibrium Green's function calculations. Atomic and molecular models
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