dorsal/arxiv
View SchemaResonant 3--photon ionization of hydrogenic atoms by non-monochromatic laser field
| Authors | V Yakhontov, R. Santra, K. Jungmann |
|---|---|
| Categories | |
| ArXiv ID | physics/9805022 |
| URL | https://arxiv.org/abs/physics/9805022 |
| DOI | 10.1088/0953-4075/32/7/006 |
| Journal | J.Phys.B.At.Mol.Opt.Phys. B32 (1999) 1615 |
Abstract
We present ionization probability and line shape calculations for the two-step 3-photon ionization process, $1S \stackrel{2\hbar \omega}{\longrightarrow}2S \stackrel{\hbar \omega}{\longrightarrow}\epsilon P $, of the ground state of hydrogenic atoms in a non-monochromatic laser field with a time--dependent amplitude. Within the framework of a three--level model, the {\it AC Stark} shifts and non-zero ionization rates of all states involved were taken into account together with spatial and temporal inhomogeneities of the laser signal. In contrast with the usual perturbative technique, the time evolution of the atomic states was simulated by direct numerically solving the system of coupled time--dependent inhomogeneous differential equations, being equivalent to the appropriate non-stationary Schr\"{o}dinger equation. Particular numerical results were obtained for typical parameters of the pulsed laser field that are employed in a new experiment to measure the $1S-2S$ energy separation in muonium at the Rutherford Appleton Laboratory. The shifts and asymmetries of the photoionization line shapes revealed may be of relevance for ultra-high precision experiments in hydrogen in CW laser fields.
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"abstract": "We present ionization probability and line shape calculations for the\ntwo-step 3-photon ionization process, $1S \\stackrel{2\\hbar\n\\omega}{\\longrightarrow}2S \\stackrel{\\hbar \\omega}{\\longrightarrow}\\epsilon P\n$, of the ground state of hydrogenic atoms in a non-monochromatic laser field\nwith a time--dependent amplitude. Within the framework of a three--level model,\nthe {\\it AC Stark} shifts and non-zero ionization rates of all states involved\nwere taken into account together with spatial and temporal inhomogeneities of\nthe laser signal. In contrast with the usual perturbative technique, the time\nevolution of the atomic states was simulated by direct numerically solving the\nsystem of coupled time--dependent inhomogeneous differential equations, being\nequivalent to the appropriate non-stationary Schr\\\"{o}dinger equation.\nParticular numerical results were obtained for typical parameters of the pulsed\nlaser field that are employed in a new experiment to measure the $1S-2S$ energy\nseparation in muonium at the Rutherford Appleton Laboratory. The shifts and\nasymmetries of the photoionization line shapes revealed may be of relevance for\nultra-high precision experiments in hydrogen in CW laser fields.",
"arxiv_id": "physics/9805022",
"authors": [
"V Yakhontov",
"R. Santra",
"K. Jungmann"
],
"categories": [
"physics.atom-ph",
"physics.acc-ph"
],
"doi": "10.1088/0953-4075/32/7/006",
"journal_ref": "J.Phys.B.At.Mol.Opt.Phys. B32 (1999) 1615",
"title": "Resonant 3--photon ionization of hydrogenic atoms by non-monochromatic laser field",
"url": "https://arxiv.org/abs/physics/9805022"
},
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