Propagation of optical pulses through atomic media consisting of atoms with N transition levels and possessing the so-called SU(2) symmetry is studied. It is shown that there are generally N - 1 sets of conditions, each of which, when satisfied, would permit the appropriate Maxwell-Bloch equations to have a solution having the form of simultaneous different-wavelength optical solutions, so-called simulations. The first two sets of solutions were known previously, but the remaining sets are new.
Hioe, Foek T. (1989). "Lossless propagation of optical pulses through N-level systems with SU(2) symmetry." Journal of the Optical Society of America B 6.3, 335-343.
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