dorsal/arxiv
View SchemaAnalytical study of four-wave mixing with large atomic coherence
| Authors | E. A. Korsunsky, T. Halfmann, J. P. Marangos, K. Bergmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209161 |
| URL | https://arxiv.org/abs/quant-ph/0209161 |
| DOI | 10.1140/epjd/e2003-00029-5 |
Abstract
Four-wave mixing in resonant atomic vapors based on maximum coherence induced by Stark-chirped rapid adiabatic passage (SCRAP) is investigated theoretically. We show the advantages of a coupling scheme involving maximum coherence and demonstrate how a large atomic coherence between a ground and an highly excited state can be prepared by SCRAP. Full analytic solutions of the field propagation problem taking into account pump field depletion are derived. The solutions are obtained with the help of an Hamiltonian approach which in the adiabatic limit permits to reduce the full set of Maxwell-Bloch equations to simple canonical equations of Hamiltonian mechanics for the field variables. It is found that the conversion efficiency reached is largely enhanced if the phase mismatch induced by linear refraction is compensated. A detailed analysis of the phase matching conditions shows, however, that the phase mismatch contribution from the Kerr effect cannot be compensated simultaneously with linear refraction contribution. Therefore, the conversion efficiency in a coupling scheme involving maximum coherence prepared by SCRAP is high, but not equal to unity.
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"abstract": "Four-wave mixing in resonant atomic vapors based on maximum coherence induced\nby Stark-chirped rapid adiabatic passage (SCRAP) is investigated theoretically.\nWe show the advantages of a coupling scheme involving maximum coherence and\ndemonstrate how a large atomic coherence between a ground and an highly excited\nstate can be prepared by SCRAP. Full analytic solutions of the field\npropagation problem taking into account pump field depletion are derived. The\nsolutions are obtained with the help of an Hamiltonian approach which in the\nadiabatic limit permits to reduce the full set of Maxwell-Bloch equations to\nsimple canonical equations of Hamiltonian mechanics for the field variables. It\nis found that the conversion efficiency reached is largely enhanced if the\nphase mismatch induced by linear refraction is compensated. A detailed analysis\nof the phase matching conditions shows, however, that the phase mismatch\ncontribution from the Kerr effect cannot be compensated simultaneously with\nlinear refraction contribution. Therefore, the conversion efficiency in a\ncoupling scheme involving maximum coherence prepared by SCRAP is high, but not\nequal to unity.",
"arxiv_id": "quant-ph/0209161",
"authors": [
"E. A. Korsunsky",
"T. Halfmann",
"J. P. Marangos",
"K. Bergmann"
],
"categories": [
"quant-ph"
],
"doi": "10.1140/epjd/e2003-00029-5",
"title": "Analytical study of four-wave mixing with large atomic coherence",
"url": "https://arxiv.org/abs/quant-ph/0209161"
},
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