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Self-induced transparency

Self induced transparency is a phenomenon that can also be observed for the cubic nonlinear Schrödinger equations. A quantum model is therefore not needed but it is interesting to see that we can reproduce this phenomenon with rthis more complex model. We check that a wave which profile is that of the cubic Schrödinger soliton propagates though the matter without any shape alteration, while the matter undergoes an integer number of total inversions. This test case allows to quantify the performance of the schemes without being polluted by positiveness problems, since only two levels are involved.

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up Applications previous Applications next Coherence transfer