dorsal/arxiv
View SchemaOn exact solutions of Maxwell-Bloch system for two-level medium with degeneracy
| Authors | S. B. Leble, N. V. Ustinov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9810049 |
| URL | https://arxiv.org/abs/quant-ph/9810049 |
| Journal | Chaos Solitons Fractals 11 (2000) 1763-1772 |
Abstract
Maxwell-Bloch system describing the resonant propagation of electromagnetic pulses in both two-level media with degeneracy in angle moment projection and three-level media with equal oscillator forces is considered. The inhomogeneous broadening of energy levels is accounted. Binary Darboux Transformation generating the solutions of the system is constructed. Pulses corresponding to the transition between levels with largest population difference are shown to be stable. The solution describing the propargation of pulses in the medium exited by the periodic wave is obtained. The hierarchy of infinitesimal symmetries is obtained by means of Darboux transformation.
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"abstract": "Maxwell-Bloch system describing the resonant propagation of electromagnetic\npulses in both two-level media with degeneracy in angle moment projection and\nthree-level media with equal oscillator forces is considered. The inhomogeneous\nbroadening of energy levels is accounted. Binary Darboux Transformation\ngenerating the solutions of the system is constructed. Pulses corresponding to\nthe transition between levels with largest population difference are shown to\nbe stable. The solution describing the propargation of pulses in the medium\nexited by the periodic wave is obtained. The hierarchy of infinitesimal\nsymmetries is obtained by means of Darboux transformation.",
"arxiv_id": "quant-ph/9810049",
"authors": [
"S. B. Leble",
"N. V. Ustinov"
],
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],
"journal_ref": "Chaos Solitons Fractals 11 (2000) 1763-1772",
"title": "On exact solutions of Maxwell-Bloch system for two-level medium with degeneracy",
"url": "https://arxiv.org/abs/quant-ph/9810049"
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