On exact solutions of Maxwell-Bloch system for two-level medium with degeneracy

Details On exact solutions of Maxwell-Bloch system for two-level medium with degeneracy On exact solutions of Maxwell-Bloch system for two-level medium with degeneracy

1998-10-15

arxiv.org/abs/quant-ph/9810049v1

Chaos Solitons Fractals 11 (2000) 1763-1772

Physics

Quantum Physics

LATEX, 11 pages

Scientific paper

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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