dorsal/arxiv
View SchemaPerturbative study of multiphoton processes in the tunneling regime
| Authors | Marco Frasca |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905070 |
| URL | https://arxiv.org/abs/quant-ph/9905070 |
| DOI | 10.1016/S0375-9601(99)00487-9 |
| Journal | Phys.Lett. A260 (1999) 149-155 |
Abstract
A perturbative study of the Schr\"{o}dinger equation in a strong electromagnetic field with dipole approximation is accomplished in the Kramers-Henneberger frame. A prove that just odd harmonics appear in the spectrum for a linear polarized laser field is given, assuming that the atomic radius is much lesser than the free-electron quiver motion amplitude. Within this approximation a perturbation series is obtained in the Keldysh parameter giving a description of multiphoton processes in the tunneling regime. The theory is applied to the case of hydrogen-like atoms: The spectrum of higher order harmonics and the above-threshold ionization rate are derived. The ionization rate computed in this way determines the amplitudes of the harmonics. The wave function of the atom proves to be rigid with respect to the perturbation so that the effect of the laser field on the Coulomb potential in the computation of the probability amplitudes can be neglected as a first approximation: This approximation improves as the ratio between the amplitude of the quiver motion of the electron and the atom radius becomes larger. The semiclassical description currently adopted for harmonic generation is so rederived by solving perturbatively the Schr\"{o}dinger equation.
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"abstract": "A perturbative study of the Schr\\\"{o}dinger equation in a strong\nelectromagnetic field with dipole approximation is accomplished in the\nKramers-Henneberger frame. A prove that just odd harmonics appear in the\nspectrum for a linear polarized laser field is given, assuming that the atomic\nradius is much lesser than the free-electron quiver motion amplitude. Within\nthis approximation a perturbation series is obtained in the Keldysh parameter\ngiving a description of multiphoton processes in the tunneling regime. The\ntheory is applied to the case of hydrogen-like atoms: The spectrum of higher\norder harmonics and the above-threshold ionization rate are derived. The\nionization rate computed in this way determines the amplitudes of the\nharmonics. The wave function of the atom proves to be rigid with respect to the\nperturbation so that the effect of the laser field on the Coulomb potential in\nthe computation of the probability amplitudes can be neglected as a first\napproximation: This approximation improves as the ratio between the amplitude\nof the quiver motion of the electron and the atom radius becomes larger. The\nsemiclassical description currently adopted for harmonic generation is so\nrederived by solving perturbatively the Schr\\\"{o}dinger equation.",
"arxiv_id": "quant-ph/9905070",
"authors": [
"Marco Frasca"
],
"categories": [
"quant-ph",
"hep-ph",
"hep-th",
"physics.atom-ph"
],
"doi": "10.1016/S0375-9601(99)00487-9",
"journal_ref": "Phys.Lett. A260 (1999) 149-155",
"title": "Perturbative study of multiphoton processes in the tunneling regime",
"url": "https://arxiv.org/abs/quant-ph/9905070"
},
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