Existence of superposition solutions for pulse propagation in nonlinear resonant media

Details Existence of superposition solutions for pulse propagation in nonlinear resonant media Existence of superposition solutions for pulse propagation in nonlinear resonant media

2002-10-21

arxiv.org/abs/quant-ph/0210143v2

Phys. Rev. A 67, 033817 (2003)

Physics

Quantum Physics

11 Pages, 6 Figures, presentation changed and 3 figures added

Scientific paper

10.1103/PhysRevA.67.033817

Existence of self-similar, superposed pulse-train solutions of the nonlinear, coupled Maxwell-Schr\"odinger equations, with the frequencies controlled by the oscillator strengths of the transitions, is established. Some of these excitations are specific to the resonant media, with energy levels in the configurations of $\Lambda$ and $N$ and arise because of the interference effects of cnoidal waves, as evidenced from some recently discovered identities involving the Jacobian elliptic functions. Interestingly, these excitations also admit a dual interpretation as single pulse-trains, with widely different amplitudes, which can lead to substantially different field intensities and population densities in different atomic levels.

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