dorsal/arxiv
View SchemaSpatial evolution of short pulses under coherent population trapping
| Authors | V. G. Arkhipkin, I. V. Timofeev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0103130 |
| URL | https://arxiv.org/abs/quant-ph/0103130 |
| DOI | 10.1103/PhysRevA.64.053811 |
| Journal | Phys. Rev. A 64, 053811 (2001) |
Abstract
Spatial and temporal evolution is studied of two powerful short laser pulses having different wavelengths and interacting with a dense three-level Lambda-type optical medium under coherent population trapping. A general case of unequal oscillator strengths of the transitions is considered. Durations of the probe pulse and the coupling pulse $T_{1,2}$ ($T_2>T_1$) are assumed to be shorter than any of the relevant atomic relaxation times. We propose analytical and numerical solutions of a self-consistent set of coupled Schr\"{o}dinger equations and reduced wave equations in the adiabatic limit with the account of the first non-adiabatic correction. The adiabaticity criterion is also discussed with the account of the pulse propagation. The dynamics of propagation is found to be strongly dependent on the ratio of the transition oscillator strengths. It is shown that envelopes of the pulses slightly change throughout the medium length at the initial stage of propagation. This distance can be large compared to the one-photon resonant absorption length. Eventually, the probe pulse is completely reemitted into the coupling pulse during propagation. The effect of localization of the atomic coherence has been observed similar to the one predicted by Fleischhauer and Lukin (PRL, {\bf 84}, 5094 (2000).
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"abstract": "Spatial and temporal evolution is studied of two powerful short laser pulses\nhaving different wavelengths and interacting with a dense three-level\nLambda-type optical medium under coherent population trapping. A general case\nof unequal oscillator strengths of the transitions is considered. Durations of\nthe probe pulse and the coupling pulse $T_{1,2}$ ($T_2\u003eT_1$) are assumed to be\nshorter than any of the relevant atomic relaxation times. We propose analytical\nand numerical solutions of a self-consistent set of coupled Schr\\\"{o}dinger\nequations and reduced wave equations in the adiabatic limit with the account of\nthe first non-adiabatic correction. The adiabaticity criterion is also\ndiscussed with the account of the pulse propagation. The dynamics of\npropagation is found to be strongly dependent on the ratio of the transition\noscillator strengths. It is shown that envelopes of the pulses slightly change\nthroughout the medium length at the initial stage of propagation. This distance\ncan be large compared to the one-photon resonant absorption length. Eventually,\nthe probe pulse is completely reemitted into the coupling pulse during\npropagation. The effect of localization of the atomic coherence has been\nobserved similar to the one predicted by Fleischhauer and Lukin (PRL, {\\bf 84},\n5094 (2000).",
"arxiv_id": "quant-ph/0103130",
"authors": [
"V. G. Arkhipkin",
"I. V. Timofeev"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.053811",
"journal_ref": "Phys. Rev. A 64, 053811 (2001)",
"title": "Spatial evolution of short pulses under coherent population trapping",
"url": "https://arxiv.org/abs/quant-ph/0103130"
},
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